000			02479nam a22002537a 4500
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005			20250310094854.0
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020			_a9781944660185
040			_aNISER LIBRARY _beng _cNISER LIBRARY
082			_a517.95 _bHAT-P
100			_aHattori, Harumi
245			_aPartial differential equations : _bmethods, applications, and theories
250			_a2nd edition
260			_aNew Jersey : _bWorld Scientific, _c2022.
300			_axvi, 410 pages
504			_aIncludes bibliographical references and index.
520			_aThis is an introductory level textbook for partial differential equations (PDEs). It is suitable for a one-semester undergraduate level or two-semester graduate level course in PDEs or applied mathematics. This volume is application-oriented and rich in examples. Going through these examples, the reader is able to easily grasp the basics of PDEs. Chapters One to Five are organized to aid understanding of the basic PDEs. They include the first-order equations and the three fundamental second-order equations, i.e. the heat, wave and Laplace equations. Through these equations, we learn the types of problems, how we pose the problems, and the methods of solutions such as the separation of variables and the method of characteristics. The modeling aspects are explained as well. The methods introduced in earlier chapters are developed further in Chapters Six to Twelve. They include the Fourier series, the Fourier and the Laplace transforms, and the Green's functions. Equations in higher dimensions are also discussed in detail. In this second edition, a new chapter is added and numerous improvements have been made including the reorganization of some chapters. Extensions of nonlinear equations treated in earlier chapters are also discussed. Partial differential equations are becoming a core subject in Engineering and the Sciences. This textbook will greatly benefit those studying in these subjects by covering basic and advanced topics in PDEs based on applications.
521			_aUndergraduate students in mathematics, science, and engineering.
650			_aDifferential equations, Partial
856			_3Table of content _uhttps://www.worldscientific.com/doi/reader/10.1142/9789811202247_fmatter
856			_3Reviews _uhttps://www.goodreads.com/book/show/53164878-partial-differential-equations?ac=1&from_search=true&qid=bMJDLHEoqg&rank=1#CommunityReviews
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