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Mathematical Methods in Physics: Partial Differential Equations, Fourier Series, and Special Functions
 
 
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Mathematical Methods in Physics: Partial Differential Equations, Fourier Series, and Special Functions [Hardcover]

Victor Henner (Author), Tatyana Belozerova (Author), Kyle Forinash (Author)

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Book Description

156881335X 978-1568813356 July 16, 2009 Har/Cdr
This text covers partial differential equations (PDEs) of mathematical physics and boundary value problems, trigonometric Fourier series, and special functions. This is the core content of many courses in the fields of engineering, physics, mathematics, and applied mathematics. The accompanying oftware provides a laboratory environment that allows the user to generate and model different physical situations and learn by experimentation. From this standpoint, the book along with the software can also be used as a reference book on PDEs, Fourier series, and special functions for students and professionals alike.

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Editorial Reviews

Review

In comparison with typical introductions to partial differential equations, the book and attached software are significantly more detailed. It explains various examples of physical problems and solves related partial differential equations under different types of boundary conditions. The authors do more with special functions and carry out examples of Fourier analysis using these functions. The book, along with the software, can also be considered as a reference book on PDEs, Fourier series and some of the special functions for students and professionals. As a text, this book can be used in an advanced course on mathematical physics (or related courses) for advanced students of engineering, physics, mathematics, and applied mathematics.
—Soheila Emamyari and Mehdi Hassani, MAA Reviews, November 2009

[Henner, Forinash, and Belozerova] address the main topics of many courses in mathematical physics within the fields of engineering, physics, mathematics, and applied mathematics. The texbook and accompanying software are significantly more detailed than typical introductions to partial differential equations, they say, and provide examples on setting up physical problems as mathematical ones, solving partial differential equations under different types of boundary conditions, working with special functions, and carrying out a Fourier analysis using these functions. The software provides a simple interface, and does not require students to learn a programming language. 
Book News Inc., September 2009

About the Author

Victor Henner (University of Louisville and Perm State University, Russia) is a mathematical physicist with extensive research and teaching experience in the United States and in Russia.

Tatyana Belozerova (Perm State University, Russia) is a programmer who developed and implemented the software package that is part of the book.

Kyle Forinash (Indiana State University) is a mathematical physicist with a broad range of interests and extensive research and teaching experience.


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