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This book provides an innovative and mathematically sound treatment of the foundations of analytical mechanics and the relation of classical mechanics to relativity and quantum theory. A distinguishing feature of the book is its integration of special relativity into teaching of classical mechanics. After a thorough review of the traditional theory, the book introduces extended Lagrangian and Hamiltonian methods that treat time as a transformable coordinate rather than the fixed parameter of Newtonian physics. Advanced topics such as covariant Langrangians and Hamiltonians, canonical transform ... More

*Keywords: *
analytical mechanics,
classical mechanics,
special relativity,
Hamiltonian theory,
Lorenz transformation,
relativistic mechanics,
Dirac’s formalism,
quantum mechanics,
Newtonian physics,
dyadics

Print publication date: 2005 | Print ISBN-13: 9780198567264 |

Published to Oxford Scholarship Online: January 2010 | DOI:10.1093/acprof:oso/9780198567264.001.0001 |

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## Front Matter

## Part I Introduction: The Traditional Theory

## Part II Mechanics with Time as a Coordinate

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