The Mathematical Mechanic : Using Physical Reasoning to Solve Problems /

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? Ma...

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Bibliographic Details
Main Author: Levi, Mark, 1951-
Format: Electronic eBook
Language:Inglés
Published: Princeton, N.J. : Princeton University Press, 2009.
Series:Book collections on Project MUSE.
Subjects:
Problem solving.
Mathematical physics.
MATHEMATICS > General.
MATHEMATICS > Essays.
MATHEMATICS > Reference.
MATHEMATICS > Pre-Calculus.
Physique mathematique.
Resolution de probleme.
Electronic books.
Online Access:Texto completo
Table of 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.

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