000			02970nam a2200313 i 4500
001			42855
008			120728s2012 njua e b 001 0 eng d
020			_a9780691154565 _qpaperback
035			_a(OCoLC)
040			_aNhCcYBP _cNhCcYBP _dNhCcYME _dWLB _dBAUN _beng _erda
049			_aBAUN_MERKEZ
050		4	_aQA63 _b.L48 2009
082	0	4	_223
100	1		_aLevi, Mark, _d1951-
245	1	4	_aThe mathematical mechanic : _busing physical reasoning to solve problems / _cMark Levi.
264		1	_aPrinceton, N.J. : _bPrinceton University Press, _c[2009]
264		4	_c©2009
300			_aviii, 186 pages : _billustrations ; _c24 cm.
336			_2rdacontent _atext _btxt
337			_2rdamedia _aunmediated _bn
338			_2rdacarrier _avolume _bnc
504			_aIncludes bibliographical references and index
505	0	0	_tThe Pythagorean theorem _t-- Minima and maxima _t-- Inequalities by electric shorting _t-- Center of mass : proofs and solutions _t-- Geometry and motion _t-- Computing integrals using mechanics _t-- The Euler-Lagrange equation via stretched springs _t-- Lenses, telescopes, and Hamiltonian mechanics _t-- A bicycle wheel and the Gauss-Bonnet theorem _t-- Complex variables made simple(r) _t-- Physical background
520			_aEverybody 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 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 endeavors relate to the world around us.
650		0	_aProblem solving
650		0	_aMathematical physics
710	2		_9111697 _aPrinceton University Press.
942			_2lcc _cKT
999			_c41406 _d41406