000			02569nam a22002897a 4500
003			OSt
005			20240615183440.0
008			240604b |||||||| |||| 00| 0 hin d
020			_a9781470409142
040			_aNISER LIBRARY _beng _cNISER LIBRARY
041			_aEnglish
082	0	0	_a517.954 _bPIN-P
100	1		_aPinsky, Mark A.
245	1	0	_aPartial differential equations and boundary-value problems with applications
250			_a3rd ed.
260			_aHyderabad : _bUniversities Press, _c2013.
300			_axiv, 526p. : _bill. ; _c25 cm.
440			_a
490			_aPure and applied undergraduate texts; _v15
500			_aIncludes index.
520			_aBuilding on the basic techniques of separation of variables and Fourier series, the book presents the solution of boundary-value problems for basic partial differential equations: the heat equation, wave equation, and Laplace equation, considered in various standard coordinate systems—rectangular, cylindrical, and spherical. Each of the equations is derived in the three-dimensional context; the solutions are organized according to the geometry of the coordinate system, which makes the mathematics especially transparent. Bessel and Legendre functions are studied and used whenever appropriate throughout the text. The notions of steady-state solution of closely related stationary solutions are developed for the heat equation; applications to the study of heat flow in the earth are presented. The problem of the vibrating string is studied in detail both in the Fourier transform setting and from the viewpoint of the explicit representation (d'Alembert formula). Additional chapters include the numerical analysis of solutions and the method of Green's functions for solutions of partial differential equations. The exposition also includes asymptotic methods (Laplace transform and stationary phase). With more than 200 working examples and 700 exercises (more than 450 with answers), the book is suitable for an undergraduate course in partial differential equations.
650			_aDifferential equations, Partial.
650			_aBoundary value problems.
856			_3Table of contents _uhttps://www.ams.org/bookstore/pspdf/amstext-15-toc.pdf?_gl=1*10vuagw*_ga*OTY4OTA1OTY3LjE3MTc5OTU1MTY.*_ga_26G4XFTR63*MTcxODQ1NjE2Mi4yLjEuMTcxODQ1NjE5NC4wLjAuMA..
856			_3Reviews _uhttps://www.goodreads.com/book/show/14996945-partial-differential-equations-and-boundary-value-problems-with-applicat?from_search=true&from_srp=true&qid=3BzOtSwllR&rank=1#CommunityReviews
942			_cN _2udc
999			_c35039 _d35039