Математическая физика
Математика
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Hanna J.R., Rowland J.H. Fourier Series, Transforms and Boundary Value Problems
Wiley-Interscience, 1990. - 368 Pages.

The basic philosophy remains the same as in the first edition. The primary changes consist of the addition of new material on integral transforms, discrete and fast Fourier transforms, series solutions, harmonic analysis, spherical harmonics, and a glance at some of the numerical techniques for the solution of boundary value problems. The order of presentation of some of the material from the first edition has been rearranged to provide more flexibility in arranging courses based on this text.
The book contains more than enough material for a one semester course. For this reason we have attempted to keep the later chapters relatively self-contained. The first three chapters contain basic material which would ordinarily be covered in a course of this nature. These could be followed by any combination of Chapters 4, 5, 6, and 8, except that Sections 8.11-8.13 depend on Chapter 5 and Sections 8.14 and 8.15 depend on Chapter
6. Chapter 7 depends somewhat on the theory presented in Chapter 4 and the Hankel and Legendre transforms depend on Chapters 5 and 6, respectively. Chapter 9, taken in its entirety, is dependent on all of the preceding chapters. However, instructors who prefer to interweave applications with the development of tools will find that it is possible to select pertinent topics from Chapters 8 and 9 as the necessary mathematics is developed.
A one-semester course given at the University of Wyoming covers substantial portions of Chapters 1, 2, 3, 4, 7, and
8. This course has upper class and graduate students from fields such as geophysics, physics, engineering, computer science, and mathematics.
We are indebted to Maria Taylor and Bob Hilbert for valuable editorial assistance and to many students for catching errors and suggesting improvements. Finally, we express our special appreciation to Janet Netzel and Mitzi Stephens for their skillful typing.
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