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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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| Format: | Électronique eBook |
| Langue: | Inglés |
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Princeton, N.J. :
Princeton University Press,
2009.
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| Collection: | Book collections on Project MUSE.
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| Accès en ligne: | Texto completo |
Table des matières:
- 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.