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The mathematical mechanic : using physical reasoning to solve problems / Mark Levi.

By: Material type: TextTextPublication details: Princeton, N.J. : Princeton University Press, ©2009.Description: 1 online resource (viii, 186 pages) : illustrationsContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781400830473
  • 1400830478
Subject(s): Genre/Form: Additional physical formats: Print version:: Mathematical mechanic.DDC classification:
  • 510 22
LOC classification:
  • QA63 .L48 2009eb
Online resources:
Contents:
The Pythagorean theorem -- Minima and maxima -- Inequalities by electric shorting -- Center of mass : proofs and solutions -- Geometry and motion -- Computing integrals using mechanics -- The Euler-Lagrange equation via stretched springs -- Lenses, telescopes, and Hamiltonian mechanics -- A bicycle wheel and the Gauss-Bonnet theorem -- Complex variables made simple(r) -- Physical background.
Summary: 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 realize 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.
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Electronic-Books Electronic-Books OPJGU Sonepat- Campus E-Books EBSCO Available

Includes bibliographical references (pages 183-184) and index.

The Pythagorean theorem -- Minima and maxima -- Inequalities by electric shorting -- Center of mass : proofs and solutions -- Geometry and motion -- Computing integrals using mechanics -- The Euler-Lagrange equation via stretched springs -- Lenses, telescopes, and Hamiltonian mechanics -- A bicycle wheel and the Gauss-Bonnet theorem -- Complex variables made simple(r) -- Physical background.

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 realize 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.

Print version record.

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