000			01855nam a2200193 a 4500
001			ASIN1441931872
005			20190523072452.0
008			130119s2010 xxu eng d
020			_a1441931872 (paperback) _c$99.00
020			_a9781441931870 (paperback)
100	1		_aBender, Carl M.
245	1	0	_aAdvanced mathematical methods for scientists and engineers I : _basymptotic methods and perturbation theory / _cCarl M. Bender, Steven A. Orszag.
250			_aSoftcover reprint of hardcover 1st ed. 1999.
260			_a[S.l.] : _bSpringer, _c2010.
300			_a607 p. ; _c24 cm.
520			_aA clear, practical and self-contained presentation of the methods of asymptotics and perturbation theory for obtaining approximate analytical solutions to differential and difference equations. Aimed at teaching the most useful insights in approaching new problems, the text avoids special methods and tricks that only work for particular problems. Intended for graduates and advanced undergraduates, it assumes only a limited familiarity with differential equations and complex variables. The presentation begins with a review of differential and difference equations, then develops local asymptotic methods for such equations, and explains perturbation and summation theory before concluding with an exposition of global asymptotic methods. Emphasizing applications, the discussion stresses care rather than rigor and relies on many well-chosen examples to teach readers how an applied mathematician tackles problems. There are 190 computer-generated plots and tables comparing approximate and exact solutions, over 600 problems of varying levels of difficulty, and an appendix summarizing the properties of special functions.
700	1		_aOrszag, Steven A.
856	4	0	_3Amazon.com _uhttp://www.amazon.com/exec/obidos/ASIN/1441931872/chopaconline-20
999			_c14349 _d14349