000			03267pam a2200325 a 4500
003			CUTN
005			20241127104846.0
008			900309s1991 nyua b 001 0 eng
020			_a9781032477145
041			_aEnglish
082	0	0	_a515.35 _220 _bSIM
100	1		_aSimmons, George Finlay,
100	1		_d1925-
245	1	0	_aDifferential equations, with applications and historical notes / _cGeorge F. Simmons, with a new chapter on numerical methods by John S. Robertson.
250			_a3rd ed.
260			_aBoca Raton : _bChapman & Hall/CRC, _cc2017.
300			_a740 pages : _billustrations (black and white) ; _c24 cm.
440		0	_aInternational series in pure and applied mathematics
504			_aIncludes bibliographical references and index.
505			_tThe Nature of Differential Equations: Separable Equations. First-Order Equations. Second-Order Linear Equations. Qualitative Properties of Solutions. Power Series Solutions and Special Functions. Fourier Series and Orthogonal Functions. Partial Differential Equations and Boundary Value Problems. Some Special Functions of Mathematical Physics. Laplace Transforms. Systems of First-Order Equations. Nonlinear Equations. Calculus of Variations. The Existence and Uniqueness of Solutions. Numerical Methods. Numerical Tables.
520			_aFads are as common in mathematics as in any other human activity, and it is always difficult to separate the enduring from the ephemeral in the achievements of one’s own time. An unfortunate effect of the predominance of fads is that if a student doesn’t learn about such worthwhile topics as the wave equation, Gauss’s hypergeometric function, the gamma function, and the basic problems of the calculus of variations—among others—as an undergraduate, then he/she is unlikely to do so later. The natural place for an informal acquaintance with such ideas is a leisurely introductory course on differential equations. Specially designed for just such a course, Differential Equations with Applications and Historical Notes takes great pleasure in the journey into the world of differential equations and their wide range of applications. The author—a highly respected educator—advocates a careful approach, using explicit explanation to ensure students fully comprehend the subject matter. With an emphasis on modeling and applications, the long-awaited Third Edition of this classic textbook presents a substantial new section on Gauss’s bell curve and improves coverage of Fourier analysis, numerical methods, and linear algebra. Relating the development of mathematics to human activity—i.e., identifying why and how mathematics is used—the text includes a wealth of unique examples and exercises, as well as the author’s distinctive historical notes, throughout.
650		0	_aDifferential equations.
856	4	2	_uhttp://www.loc.gov/catdir/description/mh022/90033686.html
856	4	1	_uhttp://www.loc.gov/catdir/toc/mh021/90033686.html
856	4	2	_3Publisher description
856	4	1	_3Table of contents
906			_a7 _bcbc _corignew _d1 _eocip _f19 _gy-gencatlg
942			_2ddc _cBOOKS
999			_c43868 _d43868