000			04132cam a22003855i 4500
001			22465373
003			CSPC
005			20250818140304.0
008			220314s2022 flu 000 0 eng
010			_a 2022934817
020			_a9781032102702 _q(hardback)
035			_a22465373
040			_aDLC _beng _erda _cDLC _dDLC _dCSPC
042			_apcc
050	0	4	_aQA371 _b.K636 2022
082	0	4	_a515.35 _bK863d
100	1		_aKrantz, Steven G. _q(Steven George), _d1951- _eauthor.
245	1	0	_aDifferential equations : _btheory, technique, and practice / _cSteven G. Krantz.
250			_aThird edition.
263			_a2212
264		1	_aBoca Raton, Florida : _bCRC Press, _c2022.
300			_axv, 471 pages ; _c24 cm.
336			_atext _btxt _2rdacontent
337			_aunmediated _bn _2rdamedia
338			_avolume _bnc _2rdacarrier
490	0		_aTextbooks in mathematics
504			_aIncludes bibliographical references and index.
505			_aWhat is a differential equation? -- Solving first-order equations -- Some applications of the first-order theory -- Second-order linear equations -- Applications of the second-order theory -- Power series solutions and special functions -- Fourier series: basic concepts -- Laplace transforms -- The calculus of variations -- Systems of first-order equations -- Partial differential equations and boundary value problems -- The nonlinear theory -- Qualitative properties and theoretical aspects.
520			_a"Differential equations is one of the oldest subjects in modern mathematics. It was not long after Newton and Leibniz invented the calculus that Bernoulli and Euler and others began to consider the heat equation and the wave equation of mathematical physics. Newton himself solved differential equations both in the study of planetary motion and also in his consideration of optics. Today differential equations is the centerpiece of much of engineering, of physics, of significant parts of the life sciences, and in many areas of mathematical modeling. This text describes classical ideas and provides an entree to the newer ones. The author pays careful attention to advanced topics like the Laplace transform, Sturm-Liouville theory, and boundary value problems (on the traditional side) but also pays due homage to nonlinear theory, to modeling, and to computing (on the modern side). This book began as a modernization of George Simmons' classic, Differential Equations with Applications and Historical Notes. Prof. Simmons invited the author to update his book. Now in the third edition, this text has become the author's own and a unique blend of the traditional and the modern. The text describes classical ideas and provides an entree to newer ones. Modeling brings the subject to life and makes the ideas real. Differential equations can model real life questions, and computer calculations and graphics can then provide real life answers. The symbiosis of the synthetic and the calculational provides a rich experience for students, and prepares them for more concrete, applied work in future courses. Additional Features Anatomy of an Application sections. Historical notes continue to be a unique feature of this text. Math Nuggets are brief perspectives on mathematical lives or other features of the discipline that will enhance the reading experience. Problems for Review and Discovery give students some open-ended material for exploration and further learning. They are an important means of extending the reach of the text, and for anticipating future work. This new edition is re-organized to make it more useful and more accessible. The most frequently taught topics are now up front. And the major applications are isolated in their own chapters. This makes this edition the most useable and flexible of any previous editions"-- _cProvided by publisher.
650		0	_aDifferential equations _xTextbooks.
906			_a0 _bibc _corignew _d2 _eepcn _f20 _gy-gencatlg
942			_2ddc _cBK _h515.35 _iK863d _kENG _m2022 _n0
999			_c30075 _d30075