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008			190810s2019 si a ob 001 0 eng d
040			_aWSPC _beng _cWSPC
020			_a9789811202247
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100	1		_aHattori, Harumi. _921295
245	1	0	_aPartial differential equations _h[electronic resource] : _bmethods, applications, and theories / _cby Harumi Hattori.
250			_a2nd ed.
260			_aSingapore : _bWorld Scientific Publishing, _c2019.
300			_a1 online resource (xvi, 410 p.) : _bill.
538			_aMode of access: World Wide Web.
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.
505	0		_aFirst and second order linear equations : preparation -- Heat equation -- Wave equation -- Laplace equation -- First order equations -- Fourier series and eigenvalue problems -- Separation of variables in higher dimensions -- More separation of variables -- Fourier transform -- Laplace transform -- Green's functions -- Applications -- Appendices.
650		0	_aDifferential equations, Partial. _911295
655		0	_aElectronic books. _93294
856	4	0	_uhttps://www.worldscientific.com/worldscibooks/10.1142/11331#t=toc _zAccess to full text is restricted to subscribers.
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