The mathematical mechanic : using physical reasoning to solve problems /
Levi, Mark, 1951-
The mathematical mechanic : using physical reasoning to solve problems / Mark Levi. - Princeton, N.J. : Princeton University Press, ©2009. - 1 online resource (viii, 186 pages) : illustrations
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.
9781400830473 (electronic bk.) 1400830478 (electronic bk.) (cloth ; alk. paper) (cloth ; alk. paper)
99938858108
245845 MIL 22573/cttmrrk JSTOR 7BB92640-28DD-4455-8306-9F11B6D6C4A4 OverDrive, Inc. http://www.overdrive.com
015181292 Uk
Problem solving.
Mathematical physics.
Résolution de problème.
Physique mathématique.
MATHEMATICS--Pre-Calculus.
MATHEMATICS--Reference.
MATHEMATICS--Essays.
MATHEMATICS--General.
Mathematical physics.
Problem solving.
Electronic books.
Electronic books.
QA63 / .L48 2009eb
510
The mathematical mechanic : using physical reasoning to solve problems / Mark Levi. - Princeton, N.J. : Princeton University Press, ©2009. - 1 online resource (viii, 186 pages) : illustrations
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.
9781400830473 (electronic bk.) 1400830478 (electronic bk.) (cloth ; alk. paper) (cloth ; alk. paper)
99938858108
245845 MIL 22573/cttmrrk JSTOR 7BB92640-28DD-4455-8306-9F11B6D6C4A4 OverDrive, Inc. http://www.overdrive.com
015181292 Uk
Problem solving.
Mathematical physics.
Résolution de problème.
Physique mathématique.
MATHEMATICS--Pre-Calculus.
MATHEMATICS--Reference.
MATHEMATICS--Essays.
MATHEMATICS--General.
Mathematical physics.
Problem solving.
Electronic books.
Electronic books.
QA63 / .L48 2009eb
510