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How to Free Your Inner MathematicianNotes on Mathematics and Life$
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Susan D'Agostino

Print publication date: 2020

Print ISBN-13: 9780198843597

Published to Oxford Scholarship Online: April 2020

DOI: 10.1093/oso/9780198843597.001.0001

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PRINTED FROM OXFORD SCHOLARSHIP ONLINE (www.oxfordscholarship.com). (c) Copyright Oxford University Press, 2020. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use. date: 06 June 2020

Be okay with small steps, as the harmonic series grows without bound

Be okay with small steps, as the harmonic series grows without bound

Chapter:
(p.195) 32 Be okay with small steps, as the harmonic series grows without bound
Source:
How to Free Your Inner Mathematician
Author(s):

Susan D'Agostino

Publisher:
Oxford University Press
DOI:10.1093/oso/9780198843597.003.0033

“Be okay with small steps, as the harmonic series grows without bound” considers the question: if each term in the infinite sum represented a day or a fraction of a day you live, would you live forever? That is, does the harmonic series—an infinite sum in which you start with a 1 and then continue adding the reciprocals of increasingly positive integers—grow without bound? The discussion is illustrated with hand-drawn sketches. Mathematics students and enthusiasts are encouraged to appreciate that small steps in mathematical and life pursuits may accumulate, leading to progress over time. At the chapter’s end, readers may check their understanding by working on a problem. A solution is provided.

Keywords:   Keywords, harmonic series, infinite sum, math, student, grow without bound

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