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Mark Levi

The Mathematical Mechanic: Using Physical Reasoning to Solve Problems

The Mathematical Mechanic: Using Physical Reasoning to Solve Problems

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  • More about The Mathematical Mechanic: Using Physical Reasoning to Solve Problems


Physics can be used to produce astonishing and strikingly elegant solutions in mathematics, as demonstrated by Mark Levi in this delightful book. 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. More than half the problems can be tackled by anyone with precalculus and basic geometry, while the more challenging problems require some calculus.

Format: Paperback / softback
Length: 216 pages
Publication date: 24 January 2023
Publisher: Princeton University Press


Mathematics is undeniably essential to physics, as it serves as the foundation upon which Einstein and Newton built their groundbreaking theories. However, it is not widely known that physics can also be employed to generate remarkable and aesthetically pleasing solutions in mathematics. In his captivating book, Mark Levi takes readers on a delightful journey, presenting a multitude of entertaining problems and mind-bending puzzles that will both amuse and inspire their inner physicist.

Levi ingeniously inverts the relationship between math and physics, unveiling how physics can simplify proofs, expedite solutions, and yield novel theorems. Moreover, he demonstrates how physical solutions can vividly illustrate the truthfulness of results, surpassing the limitations of lengthy mathematical calculations. Did you know that the Pythagorean theorem can be derived by spinning a fish tank filled with water? Or that soap films hold the key to determining the most cost-effective container for a given volume? Or that a mechanical apparatus constructed from a rod and springs can be used to find the line of best fit for a data set? Levi showcases how to employ physical intuition to solve these and other intriguing math problems.

More than half of the problems in this book can be tackled by individuals with a solid foundation in precalculus and basic geometry, while the more challenging problems necessitate a grasp of calculus. This unique book elucidates physics and math concepts when necessary, accompanied by an informative appendix that outlines physical principles.

The Mathematical Mechanic will captivate anyone with an interest in the lesser-known connections between mathematics and physics, as well as how both fields intersect with our surrounding world.

Weight: 198g
Dimension: 139 x 216 x 15 (mm)
ISBN-13: 9780691242057

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