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

ISBN-13: 9781568813356 / Angielski / Twarda / 2009 / 860 str.

Victor Henner; Tatyana Belozerova

Opis

Covers partial differential equations (PDEs) of mathematical physics and boundary value problems, trigonometric Fourier series, and special functions. This title includes a software which provides a laboratory environment that allows the user to generate a

Recenzje

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

Spis treści

Fourier Series. Sturm-Liouville Theory. One-Dimensional Hyperbolic Equations. Two-Dimensional Hyperbolic Equations. One-Dimensional Parabolic Equations. Parabolic Equations for Higher-Dimensional Problems. Elliptic Equations. Bessel Functions.　 Legendre Functions. Eigenvalues and Eigenfunctions of the Sturm-Liouville Problem Auxiliary Functions for Different Types of Boundary Conditions. The Sturm-Liouville Problem and the Laplace Equation. Vector Calculus. How to Use the Software Associated with this Book.