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Partial Differential Equations: Methods, Applications And Theories (Hardcover)
Loot Price: R1,793
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Partial Differential Equations: Methods, Applications And Theories (Hardcover)
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Total price: R1,813
Discovery Miles: 18 130
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This volume is an introductory level textbook for partial
differential equations (PDE's) and suitable for a one-semester
undergraduate level or two-semester graduate level course in PDE's
or applied mathematics. Chapters One to Five are organized
according to the equations and the basic PDE's are introduced in an
easy to understand manner. 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. The
equations in higher dimensions are also discussed in detail. This
volume is application-oriented and rich in examples. Going through
these examples, the reader is able to easily grasp the basics of
PDE's.
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