## An Alternative Approach to Lie Groups and Geometric Structures

*Ercüment H. Ortaçgil*

- Published in print:
- 2018
- Published Online:
- September 2018
- ISBN:
- 9780198821656
- eISBN:
- 9780191860959
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198821656.001.0001
- Subject:
- Mathematics, Pure Mathematics

This book is about the foundations of geometric symmetry, namely, Lie groups and differential geometry. Although this is a classical subject about which hundreds of books have been written, this book ... More

## Spectral Theory and Differential Operators

*David Edmunds and Des Evans*

- Published in print:
- 2018
- Published Online:
- September 2018
- ISBN:
- 9780198812050
- eISBN:
- 9780191861130
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198812050.001.0001
- Subject:
- Mathematics, Pure Mathematics

This book gives an account of those parts of the analysis of closed linear operators acting in Banach or Hilbert spaces that are relevant to spectral problems involving differential operators, and ... More

## The Scholarship of Teaching and Learning: A Guide for Scientists, Engineers, and Mathematicians

*Jacqueline Dewar, Curtis Bennett, and Matthew A. Fisher*

- Published in print:
- 2018
- Published Online:
- June 2018
- ISBN:
- 9780198821212
- eISBN:
- 9780191860751
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198821212.001.0001
- Subject:
- Mathematics, Educational Mathematics

This book is a guide to the scholarship of teaching and learning (SoTL) for scientists, engineers, and mathematicians teaching at the collegiate level in countries around the world. It shows ... More

## Socio-Informatics

*Volker Wulf, Volkmar Pipek, David Randall, Markus Rohde, Kjeld Schmidt, and Gunnar Stevens (eds)*

- Published in print:
- 2018
- Published Online:
- April 2018
- ISBN:
- 9780198733249
- eISBN:
- 9780191797736
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198733249.001.0001
- Subject:
- Mathematics, Computational Mathematics / Optimization

The last 25 years have seen a small revolution in our approach to the understanding of new technology and information systems. It has become a founding assumption of computer-supported cooperative ... More

## Games User Research

*Anders Drachen, Pejman Mirza-Babaei, and Lennart Nacke (eds)*

- Published in print:
- 2018
- Published Online:
- March 2018
- ISBN:
- 9780198794844
- eISBN:
- 9780191836336
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198794844.001.0001
- Subject:
- Mathematics, Logic / Computer Science / Mathematical Philosophy, Computational Mathematics / Optimization

Today, Games User Research forms an integral component of the development of any kind of interactive entertainment. User research stands as the primary source of business intelligence in the ... More

## Computational Interaction

*Antti Oulasvirta, Per Ola Kristensson, Xiaojun Bi, and Andrew Howes (eds)*

- Published in print:
- 2018
- Published Online:
- March 2018
- ISBN:
- 9780198799603
- eISBN:
- 9780191839832
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198799603.001.0001
- Subject:
- Mathematics, Logic / Computer Science / Mathematical Philosophy

This book presents computational interaction as an approach to explaining and enhancing the interaction between humans and information technology. Computational interaction applies abstraction, ... More

## Theories, Sites, Toposes: Relating and studying mathematical theories through topos-theoretic 'bridges'

*Olivia Caramello*

- Published in print:
- 2017
- Published Online:
- March 2018
- ISBN:
- 9780198758914
- eISBN:
- 9780191818752
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198758914.001.0001
- Subject:
- Mathematics, Geometry / Topology, Pure Mathematics

This book is devoted to a general study of geometric theories from a topos-theoretic perspective. After recalling the necessary topos-theoretic preliminaries, it presents the main methodology it uses ... More

## Optimal Spacecraft Trajectories

*John E. Prussing*

- Published in print:
- 2017
- Published Online:
- February 2018
- ISBN:
- 9780198811084
- eISBN:
- 9780191848360
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198811084.001.0001
- Subject:
- Mathematics, Applied Mathematics

Optimal spacecraft trajectories are given a modern comprehensive treatment of the theory and important results. In most cases “optimal” means minimum propellant. Less propellant required results in ... More

## The Correspondence of Charles Hutton: Mathematical Networks in Georgian Britain

*Benjamin Wardhaugh*

- Published in print:
- 2017
- Published Online:
- February 2018
- ISBN:
- 9780198805045
- eISBN:
- 9780191843150
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198805045.001.0001
- Subject:
- Mathematics, History of Mathematics

This book contains complete transcriptions, with notes, of the 133 surviving letters of Charles Hutton (1737–1823). The letters span the period 1770–1823 and are drawn from nearly thirty different ... More

## Heavenly Numbers: Astronomy and Authority in Early Imperial China

*Christopher Cullen*

- Published in print:
- 2017
- Published Online:
- January 2018
- ISBN:
- 9780198733119
- eISBN:
- 9780191797705
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198733119.001.0001
- Subject:
- Mathematics, History of Mathematics

This book is a history of the development of mathematical astronomy in China, from the late third century BCE, to the early third century CE—a period often referred to as ‘early imperial China’. It ... More

## Finite Elasticity Theory

*David J. Steigmann*

- Published in print:
- 2017
- Published Online:
- December 2017
- ISBN:
- 9780198567783
- eISBN:
- 9780191746536
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198567783.001.0001
- Subject:
- Mathematics, Applied Mathematics

This book is suitable for a first-year graduate course on Non-linear Elasticity Theory. It is aimed at graduate students, post-doctoral fellows and researchers working in Mechanics. Included is a ... More

## Non-Standard Parametric Statistical Inference

*Russell Cheng*

- Published in print:
- 2017
- Published Online:
- September 2017
- ISBN:
- 9780198505044
- eISBN:
- 9780191746390
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198505044.001.0001
- Subject:
- Mathematics, Probability / Statistics

This book discusses the fitting of parametric statistical models to data samples. Emphasis is placed on (i) how to recognize situations where the problem is non-standard, when parameter estimates ... More

## Everyday Cryptography: Fundamental Principles and Applications

*Keith Martin*

- Published in print:
- 2017
- Published Online:
- July 2017
- ISBN:
- 9780198788003
- eISBN:
- 9780191829956
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198788003.001.0001
- Subject:
- Mathematics, Computational Mathematics / Optimization, Logic / Computer Science / Mathematical Philosophy

Cryptography is a vital technology that underpins the security of information in computer networks. This book presents a comprehensive introduction to the role that cryptography plays in providing ... More

## Teaching Statistics: A Bag of Tricks

*Andrew Gelman and Deborah Nolan*

- Published in print:
- 2017
- Published Online:
- September 2017
- ISBN:
- 9780198785699
- eISBN:
- 9780191827518
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198785699.001.0001
- Subject:
- Mathematics, Educational Mathematics

Students in the sciences, economics, social sciences, and medicine take an introductory statistics course. And yet statistics can be notoriously difficult for instructors to teach and for students to ... More

## Introduction to Symplectic Topology

*Dusa McDuff and Dietmar Salamon*

- Published in print:
- 2017
- Published Online:
- June 2017
- ISBN:
- 9780198794899
- eISBN:
- 9780191836411
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198794899.001.0001
- Subject:
- Mathematics, Analysis, Geometry / Topology

Over the past number of years powerful new methods in analysis and topology have led to the development of the modern global theory of symplectic topology, including several striking and important ... More

## Lectures on Geometry

*Edward Witten, Martin Bridson, Helmut Hofer, Marc Lackenby, and Rahul Pandharipande*

*N M J Woodhouse (ed.)*

- Published in print:
- 2017
- Published Online:
- May 2017
- ISBN:
- 9780198784913
- eISBN:
- 9780191827150
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198784913.001.0001
- Subject:
- Mathematics, Geometry / Topology

This volume contains a collection of papers based on lectures delivered by distinguished mathematicians at Clay Mathematics Institute events over the past few years. Although not explicitly linked, ... More

## Direct Methods for Sparse Matrices

*I. S. Duff, A. M. Erisman, and J. K. Reid*

- Published in print:
- 2017
- Published Online:
- April 2017
- ISBN:
- 9780198508380
- eISBN:
- 9780191746420
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198508380.001.0001
- Subject:
- Mathematics, Numerical Analysis

Direct Methods for Sparse Matrices, second edition, is a complete rewrite of the first edition published 30 years ago. Much has changed since that time. Problems have grown greatly in size and ... More

## Lectures on Inductive Logic

*Jon Williamson*

- Published in print:
- 2017
- Published Online:
- March 2017
- ISBN:
- 9780199666478
- eISBN:
- 9780191749292
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199666478.001.0001
- Subject:
- Mathematics, Logic / Computer Science / Mathematical Philosophy

Inductive logic (also known as confirmation theory) seeks to determine the extent to which the premisses of an argument entail its conclusion. This book offers an introduction to the field of ... More

## Real Analysis

*Fon-Che Liu*

- Published in print:
- 2016
- Published Online:
- January 2017
- ISBN:
- 9780198790426
- eISBN:
- 9780191831676
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198790426.001.0001
- Subject:
- Mathematics, Analysis

Real analysis in its modern aspect is presented concisely in this text for the beginning graduate student of mathematics and related disciplines to have a solid grounding in the general theory of ... More

## Bolzano's Logical System

*Ettore Casari*

- Published in print:
- 2016
- Published Online:
- January 2017
- ISBN:
- 9780198788294
- eISBN:
- 9780191830228
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198788294.001.0001
- Subject:
- Mathematics, Logic / Computer Science / Mathematical Philosophy

A starting point of Bolzano’s logical reflection was the conviction that among truths there is a connection, according to which some truths are grounds of others, and these in turn are consequences ... More

## 4-Manifolds

*Selman Akbulut*

- Published in print:
- 2016
- Published Online:
- November 2016
- ISBN:
- 9780198784869
- eISBN:
- 9780191827136
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198784869.001.0001
- Subject:
- Mathematics, Geometry / Topology

This book present the topology of smooth 4-manifolds in an intuitive self-contained way. The handlebody theory, and the seiberg-witten theory of 4-manifolds are presented. Also stein and symplectic ... More

## Gödel's Disjunction: The scope and limits of mathematical knowledge

*Leon Horsten and Philip Welch (eds)*

- Published in print:
- 2016
- Published Online:
- November 2016
- ISBN:
- 9780198759591
- eISBN:
- 9780191820373
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198759591.001.0001
- Subject:
- Mathematics, Logic / Computer Science / Mathematical Philosophy

The logician Kurt Gödel in 1951 established a disjunctive thesis about the scope and limits of mathematical knowledge: either the mathematical mind is equivalent to a Turing machine (i.e., a ... More

## Proving in the Elementary Mathematics Classroom

*Andreas J. Stylianides*

- Published in print:
- 2016
- Published Online:
- September 2016
- ISBN:
- 9780198723066
- eISBN:
- 9780191789588
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198723066.001.0001
- Subject:
- Mathematics, Educational Mathematics

Proving in the Elementary Mathematics Classroom addresses a fundamental problem in children’s learning that has received relatively little research attention: Although proving and related concepts ... More

## Curricular Resources and Classroom Use: The Case of Mathematics

*Gabriel J. Stylianides*

- Published in print:
- 2016
- Published Online:
- June 2016
- ISBN:
- 9780198749899
- eISBN:
- 9780191814211
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198749899.001.0001
- Subject:
- Mathematics, Educational Mathematics

Curricular Resources and Classroom Use examines the use of curricular resources, that is, the different kinds of materials (digital or physical) that teachers use in or for their teaching (textbooks, ... More

## The New ABCs of Research: Achieving Breakthrough Collaborations

*Ben Shneiderman*

- Published in print:
- 2016
- Published Online:
- March 2016
- ISBN:
- 9780198758839
- eISBN:
- 9780191818714
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198758839.001.0001
- Subject:
- Mathematics, Applied Mathematics, Logic / Computer Science / Mathematical Philosophy

The immense problems of the twenty-first century invite innovative thinking from students, academic researchers, business research managers, and government policymakers. Hopes for raising quality in ... More

## Here Be Dragons: Science, Technology and the Future of Humanity

*Olle Häggström*

- Published in print:
- 2016
- Published Online:
- January 2016
- ISBN:
- 9780198723547
- eISBN:
- 9780191790331
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198723547.001.0001
- Subject:
- Mathematics, Logic / Computer Science / Mathematical Philosophy

This book challenges the widely held but oversimplified and even dangerous conception that progress in science and technology is our salvation, and the more of it, the better. The future will offer ... More

## Feynman's Operational Calculus and Beyond: Noncommutativity and Time-Ordering

*Gerald W Johnson, Michel L. Lapidus, and Lance Nielsen*

- Published in print:
- 2015
- Published Online:
- September 2015
- ISBN:
- 9780198702498
- eISBN:
- 9780191772160
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198702498.001.0001
- Subject:
- Mathematics, Mathematical Physics, Numerical Analysis

This book provides an abstract theory of Feynman’s operational calculus for functions of (typically) noncommuting operators. Although it is inspired by Feynman’s original heuristic suggestions and ... More

## Function Spaces and Partial Differential Equations: Volume 1 - Classical Analysis

*Ali Taheri*

- Published in print:
- 2015
- Published Online:
- September 2015
- ISBN:
- 9780198733133
- eISBN:
- 9780191797712
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198733133.001.0001
- Subject:
- Mathematics, Analysis

This book, which is the first volume of two, presents a comprehensive treatment of aspects of classical and modern analysis relating to theory of ‘partial differential equations’ and the associated ... More

## Function Spaces and Partial Differential Equations: Volume 2: Contemporary Analysis

*Ali Taheri*

- Published in print:
- 2015
- Published Online:
- September 2015
- ISBN:
- 9780198733157
- eISBN:
- 9780191797729
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198733157.001.0001
- Subject:
- Mathematics, Analysis

This book presents a comprehensive treatment of aspects of classical and modern analysis relating to theory of ‘partial differential equations’ and the associated ‘function spaces’. It begins with a ... More

## Turbulence: An Introduction for Scientists and Engineers

*Peter Davidson*

- Published in print:
- 2015
- Published Online:
- August 2015
- ISBN:
- 9780198722588
- eISBN:
- 9780191789298
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198722588.001.0001
- Subject:
- Mathematics, Applied Mathematics, Mathematical Physics

This book presents the subject of turbulence. The aim of the book is to bridge the gap between the elementary, heuristic accounts of turbulence and the more rigorous accounts given. Throughout, the ... More

## The Statistical Mechanics of Interacting Walks, Polygons, Animals and Vesicles

*E.J. Janse van Rensburg*

- Published in print:
- 2015
- Published Online:
- August 2015
- ISBN:
- 9780199666577
- eISBN:
- 9780191748653
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199666577.001.0001
- Subject:
- Mathematics, Mathematical Physics

This book is an account of the theory and mathematical approaches in polymer entropy, with particular emphasis on mathematical approaches to directed and undirected lattice models. Results in the ... More

## Mathematical Underpinnings of Analytics: Theory and Applications

*Peter Grindrod*

- Published in print:
- 2014
- Published Online:
- March 2015
- ISBN:
- 9780198725091
- eISBN:
- 9780191792526
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198725091.001.0001
- Subject:
- Mathematics, Analysis, Probability / Statistics

This book presents analytics within a framework of mathematical theory and concepts, building upon firm theory and foundations of probability theory, graphs, and networks, random matrices, linear ... More

## Probabilistic Graphical Models for Genetics, Genomics, and Postgenomics

*Raphaël Mourad (ed.)*

- Published in print:
- 2014
- Published Online:
- December 2014
- ISBN:
- 9780198709022
- eISBN:
- 9780191779619
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198709022.001.0001
- Subject:
- Mathematics, Probability / Statistics, Biostatistics

At the crossroads between statistics and machine learning, probabilistic graphical models provide a powerful formal framework to model complex data. Probabilistic graphical models are probabilistic ... More

## Finite Elements and Fast Iterative Solvers: with Applications in Incompressible Fluid Dynamics

*Howard Elman, David Silvester, and Andy Wathen*

- Published in print:
- 2014
- Published Online:
- September 2014
- ISBN:
- 9780199678792
- eISBN:
- 9780191780745
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199678792.001.0001
- Subject:
- Mathematics, Numerical Analysis, Computational Mathematics / Optimization

The subject of this book is the efficient solution of partial differential equations (PDEs) that arise when modelling incompressible fluid flow. The first part (Chapters 1 through 5) covers the ... More

## Stochastic Analysis and Diffusion Processes

*Gopinath Kallianpur and P Sundar*

- Published in print:
- 2014
- Published Online:
- April 2014
- ISBN:
- 9780199657063
- eISBN:
- 9780191781759
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199657063.001.0001
- Subject:
- Mathematics, Probability / Statistics, Applied Mathematics

Starting with the construction of stochastic processes, the book introduces Brownian motion and martingales. After proving the Doob-Meyer decomposition, quadratic variation processes and local ... More

## Simplicity Theory

*Byunghan Kim*

- Published in print:
- 2013
- Published Online:
- January 2014
- ISBN:
- 9780198567387
- eISBN:
- 9780191746512
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198567387.001.0001
- Subject:
- Mathematics, Logic / Computer Science / Mathematical Philosophy

This book is about simple first-order theories. The class of simple theories was introduced by S. Shelah in the early 1980s. Then several specific algebraic structures having simple theories have ... More

## Oxford Figures: Eight Centuries of the Mathematical Sciences

*John Fauvel, Raymond Flood, and Robin Wilson (eds)*

- Published in print:
- 2013
- Published Online:
- January 2014
- ISBN:
- 9780199681976
- eISBN:
- 9780191761737
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199681976.001.0001
- Subject:
- Mathematics, History of Mathematics

For eight centuries mathematics has been researched and studied at Oxford, and the subject and its teaching have undergone profound changes during that time. This is the story of the intellectual and ... More

## Combinatorics: Ancient and Modern

*Robin Wilson and John J. Watkins (eds)*

- Published in print:
- 2013
- Published Online:
- September 2013
- ISBN:
- 9780199656592
- eISBN:
- 9780191748059
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199656592.001.0001
- Subject:
- Mathematics, Combinatorics / Graph Theory / Discrete Mathematics, History of Mathematics

The history of mathematics is a well-studied and vibrant area of research, with books and scholarly articles published on various aspects of the subject. Yet, the history of combinatorics seems to ... More

## On the Topology and Future Stability of the Universe

*Hans Ringström*

- Published in print:
- 2013
- Published Online:
- September 2013
- ISBN:
- 9780199680290
- eISBN:
- 9780191760235
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199680290.001.0001
- Subject:
- Mathematics, Mathematical Physics, Geometry / Topology

The subject of the book is the topology and future stability of models of the universe. In standard cosmology, the universe is assumed to be spatially homogeneous and isotropic. However, it is of ... More

## Computer Aided Assessment of Mathematics

*Chris Sangwin*

- Published in print:
- 2013
- Published Online:
- December 2013
- ISBN:
- 9780199660353
- eISBN:
- 9780191748257
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199660353.001.0001
- Subject:
- Mathematics, Educational Mathematics

This book examines computer aided assessment (CAA) of mathematics in which computer algebra systems (CAS) are used to automatically establish the mathematical properties of expressions provided by ... More

## A Posteriori Error Estimation Techniques for Finite Element Methods

*Rüdiger Verfürth*

- Published in print:
- 2013
- Published Online:
- May 2013
- ISBN:
- 9780199679423
- eISBN:
- 9780191758485
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199679423.001.0001
- Subject:
- Mathematics, Applied Mathematics, Numerical Analysis

Self-adaptive discretization methods nowadays are an indispensable tool for the numerical solution of partial differential equations that arise from physical and technical applications. The aim is to ... More

## Quantum Physics and Linguistics: A Compositional, Diagrammatic Discourse

*Chris Heunen, Mehrnoosh Sadrzadeh, and Edward Grefenstette (eds)*

- Published in print:
- 2013
- Published Online:
- May 2013
- ISBN:
- 9780199646296
- eISBN:
- 9780191747847
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199646296.001.0001
- Subject:
- Mathematics, Applied Mathematics

Quantum mechanics and linguistics appear to be quite unrelated at first sight. Yet significant parts of both concern compositional reasoning about the way information flows among subsystems and the ... More

## Concentration Inequalities: A Nonasymptotic Theory of Independence

*Stéphane Boucheron, Gábor Lugosi, and Pascal Massart*

- Published in print:
- 2013
- Published Online:
- May 2013
- ISBN:
- 9780199535255
- eISBN:
- 9780191747106
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199535255.001.0001
- Subject:
- Mathematics, Probability / Statistics, Applied Mathematics

This monograph presents a mathematical theory of concentration inequalities for functions of independent random variables. The basic phenomenon under investigation is that if a function of many ... More

## Bayesian Theory and Applications

*Paul Damien, Petros Dellaportas, Nicholas G. Polson, and David A. Stephens (eds)*

- Published in print:
- 2013
- Published Online:
- May 2013
- ISBN:
- 9780199695607
- eISBN:
- 9780191744167
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199695607.001.0001
- Subject:
- Mathematics, Probability / Statistics

The development of hierarchical models and Markov chain Monte Carlo (MCMC) techniques forms one of the most profound advances in Bayesian analysis since the 1970s and provides the basis for advances ... More

## Krylov Subspace Methods: Principles and Analysis

*Jörg Liesen and Zdenek Strakos*

- Published in print:
- 2012
- Published Online:
- January 2013
- ISBN:
- 9780199655410
- eISBN:
- 9780191744174
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199655410.001.0001
- Subject:
- Mathematics, Applied Mathematics, Algebra

This book offers a detailed treatment of the mathematical theory of Krylov subspace methods with focus on solving systems of linear algebraic equations. Starting from the idea of projections, Krylov ... More

## Cyclic Modules and the Structure of Rings

*S.K. Jain, Ashish K. Srivastava, and Askar A. Tuganbaev*

- Published in print:
- 2012
- Published Online:
- January 2013
- ISBN:
- 9780199664511
- eISBN:
- 9780191746024
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199664511.001.0001
- Subject:
- Mathematics, Algebra

This book provides an up-to-date account of the literature on the subject of determining the structure of rings over which cyclic modules or proper cyclic modules have a finiteness condition or a ... More

## Hyperbolic Dynamics and Brownian Motion: An Introduction

*Jacques Franchi and Yves Le Jan*

- Published in print:
- 2012
- Published Online:
- January 2013
- ISBN:
- 9780199654109
- eISBN:
- 9780191745676
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199654109.001.0001
- Subject:
- Mathematics, Mathematical Physics

The idea of this book is to illustrate an interplay between distinct domains of mathematics. Firstly, this book provides an introduction to hyperbolic geometry, based on the Lorentz group PSO(1, d) ... More

## Time Series Analysis by State Space Methods: Second Edition

*James Durbin and Siem Jan Koopman*

- Published in print:
- 2012
- Published Online:
- December 2013
- ISBN:
- 9780199641178
- eISBN:
- 9780191774881
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199641178.001.0001
- Subject:
- Mathematics, Probability / Statistics

This book presents a comprehensive treatment of the state space approach to time series analysis. The distinguishing feature of state space time series models is that observations are regarded as ... More

## Everyday Cryptography: Fundamental Principles and Applications

*Keith M. Martin*

- Published in print:
- 2012
- Published Online:
- December 2013
- ISBN:
- 9780199695591
- eISBN:
- 9780191774898
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199695591.001.0001
- Subject:
- Mathematics, Applied Mathematics

Cryptography is a vital technology that underpins the security of information in computer networks. This book presents an introduction to the role that cryptography plays in providing information ... More

## An Introduction to Model-Based Survey Sampling with Applications

*Ray Chambers and Robert Clark*

- Published in print:
- 2012
- Published Online:
- May 2012
- ISBN:
- 9780198566625
- eISBN:
- 9780191738449
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198566625.001.0001
- Subject:
- Mathematics, Probability / Statistics

This book is an introduction to the model-based approach to survey sampling. It consists of three parts, with Part I focusing on estimation of population totals. Chapters 1 and 2 introduce survey ... More

## The Emperor's New Mathematics: Western Learning and Imperial Authority During the Kangxi Reign (1662-1722)

*Catherine Jami*

- Published in print:
- 2011
- Published Online:
- January 2012
- ISBN:
- 9780199601400
- eISBN:
- 9780191729218
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199601400.001.0001
- Subject:
- Mathematics, History of Mathematics

This book explores how the mathematics the Jesuits brought to China was reconstructed as a branch of imperial learning so that the emperor Kangxi (r. 1662–1722) could consolidate his power over the ... More

## Differential Geometry: Bundles, Connections, Metrics and Curvature

*Clifford Henry Taubes*

- Published in print:
- 2011
- Published Online:
- December 2013
- ISBN:
- 9780199605880
- eISBN:
- 9780191774911
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199605880.001.0001
- Subject:
- Mathematics, Geometry / Topology, Mathematical Physics

Bundles, connections, metrics, and curvature are the ‘lingua franca’ of modern differential geometry and theoretical physics. Many of the tools used in differential topology are introduced and the ... More

## Bayesian Statistics 9

*José M. Bernardo, M. J. Bayarri, James O. Berger, A. P. Dawid, David Heckerman, Adrian F. M. Smith, and Mike West (eds)*

- Published in print:
- 2011
- Published Online:
- January 2012
- ISBN:
- 9780199694587
- eISBN:
- 9780191731921
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199694587.001.0001
- Subject:
- Mathematics, Probability / Statistics

The Valencia International Meetings on Bayesian Statistics – established in 1979 and held every four years – have been the forum for a definitive overview of current concerns and activities in ... More

## Statistics and Scientific Method: An Introduction for Students and Researchers

*Peter J. Diggle and Amanda G. Chetwynd*

- Published in print:
- 2011
- Published Online:
- December 2013
- ISBN:
- 9780199543182
- eISBN:
- 9780191774867
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199543182.001.0001
- Subject:
- Mathematics, Probability / Statistics, Biostatistics

An antidote to technique-oriented service courses, this book studiously avoids the recipe-book style and keeps algebraic details of specific statistical methods to the minimum extent necessary to ... More

## Bayesian Smoothing and Regression for Longitudinal, Spatial and Event History Data

*Ludwig Fahrmeir and Thomas Kneib*

- Published in print:
- 2011
- Published Online:
- September 2011
- ISBN:
- 9780199533022
- eISBN:
- 9780191728501
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199533022.001.0001
- Subject:
- Mathematics, Probability / Statistics, Biostatistics

Several recent advances in smoothing and semiparametric regression are presented in this book from a unifying, Bayesian perspective. Simulation-based full Bayesian Markov chain Monte Carlo (MCMC) ... More

## Riemann Surfaces

*Simon Donaldson*

- Published in print:
- 2011
- Published Online:
- December 2013
- ISBN:
- 9780198526391
- eISBN:
- 9780191774874
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198526391.001.0001
- Subject:
- Mathematics, Geometry / Topology, Analysis

The theory of Riemann surfaces occupies a very special place in mathematics. It is a culmination of much of traditional calculus, making surprising connections with geometry and arithmetic. It is an ... More

## Causality in the Sciences

*Phyllis McKay Illari, Federica Russo, and Jon Williamson (eds)*

- Published in print:
- 2011
- Published Online:
- September 2011
- ISBN:
- 9780199574131
- eISBN:
- 9780191728921
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199574131.001.0001
- Subject:
- Mathematics, Logic / Computer Science / Mathematical Philosophy

There is a need for integrated thinking about causality, probability, and mechanism in scientific methodology. A panoply of disciplines, ranging from epidemiology and biology through to econometrics ... More

## Stochastic Population Processes: Analysis, Approximations, Simulations

*Eric Renshaw*

- Published in print:
- 2011
- Published Online:
- September 2011
- ISBN:
- 9780199575312
- eISBN:
- 9780191728778
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199575312.001.0001
- Subject:
- Mathematics, Applied Mathematics, Mathematical Biology

The vast majority of random processes in the real world have no memory — the next step in their development depends purely on their current state. Stochastic realizations are therefore defined purely ... More

## Matroid Theory

*James Oxley*

- Published in print:
- 2011
- Published Online:
- December 2013
- ISBN:
- 9780198566946
- eISBN:
- 9780191774904
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198566946.001.0001
- Subject:
- Mathematics, Educational Mathematics

Seventy-five years of the study of matroids has seen the development of a rich theory with links to graphs, lattices, codes, transversals,0020and projective geometries. Matroids are of fundamental ... More

## Traces and Determinants of Pseudodifferential Operators

*Simon Scott*

- Published in print:
- 2010
- Published Online:
- January 2011
- ISBN:
- 9780198568360
- eISBN:
- 9780191594748
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198568360.001.0001
- Subject:
- Mathematics, Analysis

This text provides a broad account of the theory of traces and determinants on geometric algebras of differential and pseudodifferential operators over compact manifolds. Trace and determinant ... More

## The Many Facets of Geometry: A Tribute to Nigel Hitchin

*Oscar Garcia-Prada, Jean Pierre Bourguignon, and Simon Salamon (eds)*

- Published in print:
- 2010
- Published Online:
- September 2010
- ISBN:
- 9780199534920
- eISBN:
- 9780191716010
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199534920.001.0001
- Subject:
- Mathematics, Geometry / Topology

Few people have proved more influential in the field of differential and algebraic geometry, and in showing how this links with mathematical physics, than Nigel Hitchin. Oxford University's Savilian ... More

## In Defence of Objective Bayesianism

*Jon Williamson*

- Published in print:
- 2010
- Published Online:
- September 2010
- ISBN:
- 9780199228003
- eISBN:
- 9780191711060
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199228003.001.0001
- Subject:
- Mathematics, Probability / Statistics, Logic / Computer Science / Mathematical Philosophy

Bayesian epistemology aims to answer the following question: How strongly should an agent believe the various propositions expressible in her language? Subjective Bayesians hold that.it is largely ... More

## Micro/Nano Technology Systems for Biomedical Applications: Microfluidics, Optics, and Surface Chemistry

*Chih-Ming Ho (ed.)*

- Published in print:
- 2010
- Published Online:
- September 2010
- ISBN:
- 9780199219698
- eISBN:
- 9780191594229
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199219698.001.0001
- Subject:
- Mathematics, Mathematical Biology

A universal goal of technological development is the enrichment of human life. The fast developments of nano/micro technologies enable us to directly handle a single cell or a single molecule. This ... More

## New Perspectives in Stochastic Geometry

*Wilfrid S. Kendall and Ilya Molchanov (eds)*

- Published in print:
- 2009
- Published Online:
- February 2010
- ISBN:
- 9780199232574
- eISBN:
- 9780191716393
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199232574.001.0001
- Subject:
- Mathematics, Geometry / Topology

Stochastic geometry is a subject with roots stretching back at least 300 years, but one which has only been formed as an academic area in the last 50 years. It covers the study of random patterns, ... More

## Multiscale Methods: Bridging the Scales in Science and Engineering

*Jacob Fish (ed.)*

- Published in print:
- 2009
- Published Online:
- February 2010
- ISBN:
- 9780199233854
- eISBN:
- 9780191715532
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199233854.001.0001
- Subject:
- Mathematics, Applied Mathematics

Small scale features and processes occurring at nanometer and femtosecond scales have a profound impact on what happens at larger space and time scales. In view of the increasing need of ... More

## Thermoelasticity with Finite Wave Speeds

*Józef Ignaczak and Martin Ostoja-Starzewski*

- Published in print:
- 2009
- Published Online:
- February 2010
- ISBN:
- 9780199541645
- eISBN:
- 9780191716164
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199541645.001.0001
- Subject:
- Mathematics, Applied Mathematics, Mathematical Physics

Generalized dynamic thermoelasticity is a vital area of research in continuum mechanics, free of the classical paradox of infinite propagation speeds of thermal signals in Fourier‐type heat ... More

## Applied Shape Optimization for Fluids

*Bijan Mohammadi and Olivier Pironneau*

- Published in print:
- 2009
- Published Online:
- February 2010
- ISBN:
- 9780199546909
- eISBN:
- 9780191720482
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199546909.001.0001
- Subject:
- Mathematics, Mathematical Physics

The fields of computational fluid dynamics (CFD) and optimal shape design (OSD) have received considerable attention in the recent past, and are of practical importance for many engineering ... More

## Stochastic Methods in Neuroscience

*Carlo Laing and Gabriel J Lord (eds)*

- Published in print:
- 2009
- Published Online:
- February 2010
- ISBN:
- 9780199235070
- eISBN:
- 9780191715778
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199235070.001.0001
- Subject:
- Mathematics, Biostatistics

We give a brief introduction to modelling in mathematical neuroscience, to stochastic processes, and stochastic differential equations as well as an overview of the book.

## Statistics and Informatics in Molecular Cancer Research

*Carsten Wiuf and Claus L. Andersen (eds)*

- Published in print:
- 2009
- Published Online:
- September 2009
- ISBN:
- 9780199532872
- eISBN:
- 9780191714467
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199532872.001.0001
- Subject:
- Mathematics, Probability / Statistics, Biostatistics

This book discusses novel advances in informatics and statistics in molecular cancer research. Through eight chapters it discusses specific topics in cancer research, talks about how the topics give ... More

## Computing with Cells: Advances in Membrane Computing

*Pierluigi Frisco*

- Published in print:
- 2009
- Published Online:
- September 2009
- ISBN:
- 9780199542864
- eISBN:
- 9780191715679
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199542864.001.0001
- Subject:
- Mathematics, Applied Mathematics, Mathematical Biology

How could we use living cells to perform computation? Would our definition of computation change as a consequence of this? Could such a cell-computer outperform digital computers? These are some of ... More

## Consumer Credit Models: Pricing, Profit and Portfolios

*Lyn C. Thomas*

- Published in print:
- 2009
- Published Online:
- May 2009
- ISBN:
- 9780199232130
- eISBN:
- 9780191715914
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199232130.001.1
- Subject:
- Mathematics, Applied Mathematics, Mathematical Finance

Credit scoring — the quantitative and statistical techniques which assess the credit risks when lending to consumers — has been one of the most successful if unsung applications of mathematics in ... More

## Computability and Randomness

*André Nies*

- Published in print:
- 2009
- Published Online:
- May 2009
- ISBN:
- 9780199230761
- eISBN:
- 9780191710988
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199230761.001.0001
- Subject:
- Mathematics, Logic / Computer Science / Mathematical Philosophy

The complexity and the randomness aspect of a set of natural numbers are closely related. Traditionally, computability theory is concerned with the complexity aspect. However, computability theoretic ... More

## General Relativity and the Einstein Equations

*Yvonne Choquet-Bruhat*

- Published in print:
- 2008
- Published Online:
- May 2009
- ISBN:
- 9780199230723
- eISBN:
- 9780191710872
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199230723.001.0001
- Subject:
- Mathematics, Applied Mathematics

General Relativity has passed all experimental and observational tests to model the motion of isolated bodies with strong gravitational fields, though the mathematical and numerical study of these ... More

## Wavelet Methods for Elliptic Partial Differential Equations

*Karsten Urban*

- Published in print:
- 2008
- Published Online:
- May 2009
- ISBN:
- 9780198526056
- eISBN:
- 9780191712340
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198526056.001.0001
- Subject:
- Mathematics, Applied Mathematics, Mathematical Finance

Wavelets have become a powerful tool in several applications by now. Their use for the numerical solution of operator equations has been investigated more recently. By now the theoretical ... More

## Catalan Numbers with Applications

*Thomas Koshy*

- Published in print:
- 2008
- Published Online:
- January 2009
- ISBN:
- 9780195334548
- eISBN:
- 9780199868766
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195334548.001.0001
- Subject:
- Mathematics, Combinatorics / Graph Theory / Discrete Mathematics

Fibonacci and Lucas sequences are “two shining stars in the vast array of integer sequences,” and because of their ubiquitousness, tendency to appear in quite unexpected and unrelated places, ... More

## Credit Risk Management: Basic Concepts: Financial Risk Components, Rating Analysis, Models, Economic and Regulatory Capital

*Tony Van Gestel and Bart Baesens*

- Published in print:
- 2008
- Published Online:
- January 2009
- ISBN:
- 9780199545117
- eISBN:
- 9780191720147
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199545117.001.0001
- Subject:
- Mathematics, Applied Mathematics, Mathematical Finance

This book is the first book of a series of three that provides an overview of all aspects, steps, and issues that should be considered when undertaking credit risk management, including the Basel II ... More

## Analysis and Stochastics of Growth Processes and Interface Models

*Peter Mörters, Roger Moser, Mathew Penrose, Hartmut Schwetlick, and Johannes Zimmer (eds)*

- Published in print:
- 2008
- Published Online:
- September 2008
- ISBN:
- 9780199239252
- eISBN:
- 9780191716911
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199239252.001.0001
- Subject:
- Mathematics, Probability / Statistics, Analysis

There has been a significant increase recently in activities on the interface between applied analysis and probability theory. With the potential of a combined approach to the study of various ... More

## Kelvin: Life, Labours and Legacy

*Raymond Flood, Mark McCartney, and Andrew Whitaker (eds)*

- Published in print:
- 2008
- Published Online:
- May 2008
- ISBN:
- 9780199231256
- eISBN:
- 9780191710803
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199231256.001.0001
- Subject:
- Mathematics, History of Mathematics

Lord Kelvin was one of the greatest physicists of the Victorian era. Widely known for the development of the Kelvin scale of temperature measurement, Kelvin's interests ranged across thermodynamics, ... More

## The Factorization Method for Inverse Problems

*Andreas Kirsch and Natalia Grinberg*

- Published in print:
- 2007
- Published Online:
- September 2008
- ISBN:
- 9780199213535
- eISBN:
- 9780191707629
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199213535.001.0001
- Subject:
- Mathematics, Applied Mathematics

This book is devoted to problems of shape identification in the context of (inverse) scattering problems and problems of impedance tomography. In contrast to traditional methods which are based on ... More

## Sasakian Geometry

*Charles Boyer and Krzysztof Galicki*

- Published in print:
- 2007
- Published Online:
- January 2008
- ISBN:
- 9780198564959
- eISBN:
- 9780191713712
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198564959.001.0001
- Subject:
- Mathematics, Geometry / Topology

Sasakian manifolds were first introduced in 1962. This book's main focus is on the intricate relationship between Sasakian and Kähler geometries, especially when the Kähler structure is that of an ... More

## Flips for 3-folds and 4-folds

*Alessio Corti (ed.)*

- Published in print:
- 2007
- Published Online:
- September 2007
- ISBN:
- 9780198570615
- eISBN:
- 9780191717703
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198570615.001.0001
- Subject:
- Mathematics, Geometry / Topology

The minimal model program in algebraic geometry is a conjectural sequence of algebraic surgery operations that simplifies any algebraic variety to a point where it can be decomposed into pieces with ... More

## Combinatorics, Complexity, and Chance: A Tribute to Dominic Welsh

*Geoffrey Grimmett and Colin McDiarmid (eds)*

- Published in print:
- 2007
- Published Online:
- September 2007
- ISBN:
- 9780198571278
- eISBN:
- 9780191718885
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198571278.001.0001
- Subject:
- Mathematics, Probability / Statistics

Professor Dominic Welsh has made significant contributions to the fields of combinatorics and discrete probability, including matroids, complexity, and percolation. He has taught, influenced, and ... More

## Multi-dimensional hyperbolic partial differential equations: First-order systems and applications

*Sylvie Benzoni-Gavage and Denis Serre*

- Published in print:
- 2006
- Published Online:
- September 2007
- ISBN:
- 9780199211234
- eISBN:
- 9780191705700
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199211234.001.0001
- Subject:
- Mathematics, Applied Mathematics

This book presents a view of the state of the art in multi-dimensional hyperbolic partial differential equations, with a particular emphasis on problems in which modern tools of analysis have proved ... More

## The Porous Medium Equation: Mathematical Theory

*Juan Luis Vazquez*

- Published in print:
- 2006
- Published Online:
- September 2007
- ISBN:
- 9780198569039
- eISBN:
- 9780191717468
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198569039.001.0001
- Subject:
- Mathematics, Mathematical Physics

The heat equation is one of the three classical linear partial differential equations of second order that form the basis of any elementary introduction to the area of PDEs, and only recently has it ... More

## Mathematical Methods for the Magnetohydrodynamics of Liquid Metals

*Jean-Frédéric Gerbeau, Claude Le Bris, and Tony Lelièvre*

- Published in print:
- 2006
- Published Online:
- September 2007
- ISBN:
- 9780198566656
- eISBN:
- 9780191718014
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198566656.001.0001
- Subject:
- Mathematics, Mathematical Physics

This text focuses on mathematical and numerical techniques for the simulation of magnetohydrodynamic phenomena, with an emphasis on the magnetohydrodynamics of liquid metals, on two-fluid flows, and ... More

## Smoothing and Decay Estimates for Nonlinear Diffusion Equations: Equations of Porous Medium Type

*Juan Luis Vázquez*

- Published in print:
- 2006
- Published Online:
- September 2007
- ISBN:
- 9780199202973
- eISBN:
- 9780191707919
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199202973.001.0001
- Subject:
- Mathematics, Applied Mathematics

This book is concerned with the quantitative aspects of the theory of nonlinear diffusion equations; equations which can be seen as nonlinear variations of the classical heat equation. They appear as ... More

## The Structure of Models of Peano Arithmetic

*Roman Kossak and James Schmerl*

- Published in print:
- 2006
- Published Online:
- September 2007
- ISBN:
- 9780198568278
- eISBN:
- 9780191718199
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198568278.001.0001
- Subject:
- Mathematics, Logic / Computer Science / Mathematical Philosophy

This book gives an account of the present state of research on lattices of elementary substructures and automorphisms of nonstandard models of arithmetic. Major representation theorems are proved, ... More

## Hilbert Modular Forms and Iwasawa Theory

*Haruzo Hida*

- Published in print:
- 2006
- Published Online:
- September 2007
- ISBN:
- 9780198571025
- eISBN:
- 9780191718946
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198571025.001.0001
- Subject:
- Mathematics, Algebra

The 1995 work by Wiles and Taylor-Wiles opened up a whole new technique in algebraic number theory and, a decade on, the waves caused by this incredibly important work are still being felt. This book ... More

## Category Theory

*Steve Awodey*

- Published in print:
- 2006
- Published Online:
- September 2007
- ISBN:
- 9780198568612
- eISBN:
- 9780191717567
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198568612.001.0001
- Subject:
- Mathematics, Algebra

This book is a text and reference book on Category Theory, a branch of abstract algebra. The book contains clear definitions of the essential concepts, which are illuminated with numerous accessible ... More

## Fourier-Mukai Transforms in Algebraic Geometry

*D. Huybrechts*

- Published in print:
- 2006
- Published Online:
- September 2007
- ISBN:
- 9780199296866
- eISBN:
- 9780191711329
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199296866.001.0001
- Subject:
- Mathematics, Geometry / Topology

This book provides a systematic exposition of the theory of Fourier-Mukai transforms from an algebro-geometric point of view. Assuming a basic knowledge of algebraic geometry, the key aspect of this ... More

## Invitation to Fixed-Parameter Algorithms

*Rolf Niedermeier*

- Published in print:
- 2006
- Published Online:
- September 2007
- ISBN:
- 9780198566076
- eISBN:
- 9780191713910
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198566076.001.0001
- Subject:
- Mathematics, Combinatorics / Graph Theory / Discrete Mathematics

This book provides an introduction to the concept of fixed-parameter tractability. The corresponding design and analysis of efficient fixed-parameter algorithms for optimally solving combinatorially ... More

## The Diophantine Frobenius Problem

*Jorge L. Ramírez Alfonsín*

- Published in print:
- 2005
- Published Online:
- September 2007
- ISBN:
- 9780198568209
- eISBN:
- 9780191718229
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198568209.001.0001
- Subject:
- Mathematics, Algebra, Combinatorics / Graph Theory / Discrete Mathematics

During the early part of the last century, F. G. Frobenius raised, in his lectures, the following problem (called the Diophantine Frobenius Problem FP): given relatively prime positive integers a1, . ... More

## From Sets and Types to Topology and Analysis: Towards practicable foundations for constructive mathematics

*Laura Crosilla and Peter Schuster (eds)*

- Published in print:
- 2005
- Published Online:
- September 2007
- ISBN:
- 9780198566519
- eISBN:
- 9780191713927
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198566519.001.0001
- Subject:
- Mathematics, Logic / Computer Science / Mathematical Philosophy

Constructive mathematics is a vital area of research which has gained special attention in recent years due to the distinctive presence of computational content in its theorems. This characteristic ... More

## Celebrating Statistics: Papers in honour of Sir David Cox on his 80th birthday

*A. C. Davison, Yadolah Dodge, and N. Wermuth (eds)*

- Published in print:
- 2005
- Published Online:
- September 2007
- ISBN:
- 9780198566540
- eISBN:
- 9780191718038
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198566540.001.0001
- Subject:
- Mathematics, Probability / Statistics

Sir David Cox is among the most important statisticians of the past half-century, making pioneering and highly influential contributions to a wide range of topics in statistics and applied ... More

## Inverse Eigenvalue Problems: Theory, Algorithms, and Applications

*Moody Chu and Gene Golub*

- Published in print:
- 2005
- Published Online:
- September 2007
- ISBN:
- 9780198566649
- eISBN:
- 9780191718021
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198566649.001.0001
- Subject:
- Mathematics, Applied Mathematics

The basic goal of an inverse eigenvalue problem is to reconstruct the physical parameters of a certain system from the knowledge or desire of its dynamical behavior. Depending on the application, ... More

## Spectral/hp Element Methods for Computational Fluid Dynamics

*George Karniadakis and Spencer Sherwin*

- Published in print:
- 2005
- Published Online:
- September 2007
- ISBN:
- 9780198528692
- eISBN:
- 9780191713491
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198528692.001.0001
- Subject:
- Mathematics, Numerical Analysis

Spectral methods have long been popular in direct and large eddy simulation of turbulent flows, but their use in areas with complex-geometry computational domains has historically been much more ... More

## Set Theory: Boolean-Valued Models and Independence Proofs

*John L. Bell*

- Published in print:
- 2005
- Published Online:
- September 2007
- ISBN:
- 9780198568520
- eISBN:
- 9780191717581
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198568520.001.0001
- Subject:
- Mathematics, Logic / Computer Science / Mathematical Philosophy

This is the third edition of a well-known graduate textbook on Boolean-valued models of set theory. The aim of the first and second editions was to provide a systematic and adequately motivated ... More

## Interpolation and Definability: Modal and Intuitionistic Logics

*Dov M. Gabbay and Larisa Maksimova*

- Published in print:
- 2005
- Published Online:
- September 2007
- ISBN:
- 9780198511748
- eISBN:
- 9780191705779
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198511748.001.0001
- Subject:
- Mathematics, Logic / Computer Science / Mathematical Philosophy

This book focuses on interpolation and definability. This notion is not only central in pure logic, but has significant meaning and applicability in all areas where logic itself is applied, ... More

## Alan Turing's Automatic Computing Engine: The Master Codebreaker's Struggle to build the Modern Computer

*B. Jack Copeland (ed.)*

- Published in print:
- 2005
- Published Online:
- January 2008
- ISBN:
- 9780198565932
- eISBN:
- 9780191714016
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198565932.001.0001
- Subject:
- Mathematics, History of Mathematics

The mathematical genius Alan Turing (1912-1954) was one of the greatest scientists and thinkers of the 20th century. Now well known for his crucial wartime role in breaking the ENIGMA code, he was ... More

## Numerical Methods for Structured Markov Chains

*Dario A. Bini, Guy Latouche, and Beatrice Meini*

- Published in print:
- 2005
- Published Online:
- September 2007
- ISBN:
- 9780198527688
- eISBN:
- 9780191713286
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198527688.001.0001
- Subject:
- Mathematics, Numerical Analysis

The book deals with the numerical solution of structured Markov chains which include M/G/1 and G/M/1-type Markov chains, QBD processes, non-skip-free queues, and tree-like stochastic processes and ... More