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Selected Special Functions for Fundamental Physics: SpringerBriefs in Physics

Autor Valeriya Akhmedova, Emil T. Akhmedov
en Limba Engleză Paperback – 27 noi 2019
This book presents calculation methods that are used in both mathematical and theoretical physics. These methods will allow readers to work with selected special functions and more generally with differential equations, which are the most frequently used in quantum mechanics, theory of relativity and quantum field theory.
 
The authors explain various approximation methods used to solve differential equations and to estimate integrals. They also address the basics of the relations between differential equations, special functions and representation theory of some of the simplest algebras on the one hand, and fundamental physics on the other. 
 
Based on a seminar for graduate physics students, the book offers a compact and quick way to learn about special functions. To gain the most from it, readers should be familiar with the basics of calculus, linear algebra, and complex analysis, as well as the basic methods used to solvedifferential equations and calculate integrals. 
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Specificații

ISBN-13: 9783030350888
ISBN-10: 3030350886
Pagini: 116
Ilustrații: XI, 116 p. 20 illus.
Dimensiuni: 155 x 235 mm
Greutate: 0.19 kg
Ediția:1st ed. 2019
Editura: Springer International Publishing
Colecția Springer
Seria SpringerBriefs in Physics

Locul publicării:Cham, Switzerland

Cuprins

Introduction.- Gamma–function.- Riemann zeta–function.- Hermite polynomials.- Bessel functions.- Legendre polynomials and spherical functions.- Hypergeometric functions.- Degenerate hypergeometric function.- Theta–functions.

Caracteristici

Explains how the methods work on concrete examples rather than providing general theorems Provides applications of special functions for each chapter Enable readers to work with special functions and more generally with differential equations