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The Mathematical Mechanic

Using Physical Reasoning to Solve Problems
Book Hero Magic crafted this summary to help describe this book. While it's new and still learning, it may not be perfect - your feedback is welcome! Summary
The Mathematical Mechanic by Mark Levi explores how physical and mechanical principles can be applied to solve mathematical problems. By presenting unconventional yet insightful approaches, the book blends physics and mathematics to shed light on complex concepts, making them accessible and intriguing to the reader. The author demonstrates innovative techniques that challenge traditional mathematical perspectives.
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Book Hero Magic created this recommendation. While it's new and still learning, it may not be perfect - your feedback is welcome! IS THIS YOUR NEXT READ?

You might enjoy this book if you're intrigued by how physics principles can cleverly and elegantly solve complex mathematical problems. It provides a unique perspective by using physical explanations to offer intuitive solutions to traditionally challenging mathematical concepts.

Book Hero thinking about your next read

"With a new preface by the author"-- title page.

Book Hero Magic formatted this description to make it easier to read. While it's new and still learning, it may not be perfect - your feedback is welcome! Description

Everybody knows that mathematics is indispensable to physics—imagine where we'd be today if Einstein and Newton didn't have the math to back up their ideas. But how many people realise that physics can be used to produce many astonishing and strikingly elegant solutions in mathematics? Mark Levi shows how in this delightful book, treating readers to a host of entertaining problems and mind-bending puzzlers that will amuse and inspire their inner physicist.

Levi turns math and physics upside down, revealing how physics can simplify proofs and lead to quicker solutions and new theorems, and how physical solutions can illustrate why results are true in ways lengthy mathematical calculations never can. Did you know it's possible to derive the Pythagorean theorem by spinning a fish tank filled with water? Or that soap film holds the key to determining the cheapest container for a given volume? Or that the line of best fit for a data set can be found using a mechanical contraption made from a rod and springs?

Levi demonstrates how to use physical intuition to solve these and other fascinating math problems. More than half the problems can be tackled by anyone with precalculus and basic geometry, while the more challenging problems require some calculus. This one-of-a-kind book explains physics and math concepts where needed and includes an informative appendix of physical principles.

The Mathematical Mechanic will appeal to anyone interested in the little-known connections between mathematics and physics and how both endeavours relate to the world around us.

A pleasure to read... Newton himself would have been charmed by this book. — Steven G. Krantz, UMAP Journal

The Mathematical Mechanic documents novel ways of viewing physics as a method of understanding mathematics. Levi uses physical arguments as tools to conjecture about mathematical concepts before providing rigorous proofs... The Mathematical Mechanic is an excellent display of creative, interdisciplinary problem-solving strategies. The author has explained complex concepts with simplicity, yet the mathematics is accurate. — Mathematics Teacher

A most interesting book... Many of the ideas in it could be used as motivational or illustrative examples to support the teaching of non-specialists, especially physicists and engineers. In conclusion—a thoroughly enjoyable and thought-provoking read. — Nigel Steele, London Mathematical Society Newsletter

Series: Princeton Science Library

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Book Hero Magic summarised reviews for this book. While it's new and still learning, it may not be perfect - your feedback is welcome! HOW HAS THIS BEEN REVIEWED?

The Mathematical Mechanic by Mark Levi is praised for offering a novel approach that uses physics to understand mathematics, providing creative and interdisciplinary problem-solving strategies. Reviewers appreciate Levi's ability to simplify complex concepts and find his methods could enhance teaching in both mathematics and physics. The book is noted for its engaging thought experiments and is recommended for anyone interested in these subjects for both its intellectual and entertainment value.

Book Hero reading reviews

Book Details

INFORMATION

ISBN: 9780691242057

Publisher: Princeton University Press

Format: Paperback / softback

Date Published: 24 January 2023

Country: United States

Imprint: Princeton University Press

Illustration: 122 b/w illus. 1 table.

Audience: General / adult

DIMENSIONS

Width: 140.0mm

Height: 216.0mm

Weight: 250g

Pages: 216

About the Author

Mark Levi is professor of mathematics at Pennsylvania State University and the author of Why Cats Land on Their Feet (Princeton).

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    Everybody knows that mathematics is indispensable to physics—imagine where we'd be today if Einstein and Newton didn't have the math to back up their ideas. But how many people realise that physics can be used to produce many astonishing and strikingly elegant solutions in mathematics? Mark Levi shows how in this delightful book, treating readers to a host of entertaining...
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