Mathematical Methods in Physics
Partial Differential Equations, Fourier Series, and Special Functions
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ISBN-13:
9781568813356
Veröffentl:
2009
Erscheinungsdatum:
18.06.2009
Seiten:
860
Autor:
Victor Henner
Gewicht:
1540 g
Format:
245x202x52 mm
Sprache:
Englisch
Beschreibung:
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 software 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.
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.
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