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Partial Differential Equations: Methods, Applications And Theories (2nd Edition) (Paperback)
Loot Price: R1,665
Discovery Miles 16 650
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Partial Differential Equations: Methods, Applications And Theories (2nd Edition) (Paperback)
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Total price: R1,685
Discovery Miles: 16 850
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This 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.
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