Selected Special Functions for Fundamental Physics - Valeriya Akhmedova, Emil T. Akhmedov

Selected Special Functions for Fundamental Physics

Buch | Softcover
XI, 116 Seiten
2019 | 1st ed. 2019
Springer International Publishing (Verlag)
978-3-030-35088-8 (ISBN)
53,49 inkl. MwSt

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. 

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

Erscheinungsdatum
Reihe/Serie SpringerBriefs in Physics
Zusatzinfo XI, 116 p. 20 illus.
Verlagsort Cham
Sprache englisch
Maße 155 x 235 mm
Gewicht 209 g
Themenwelt Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Angewandte Mathematik
Naturwissenschaften Physik / Astronomie Allgemeines / Lexika
Naturwissenschaften Physik / Astronomie Theoretische Physik
Schlagworte Approximation Methods in Differential Equations • Complex Analysis for Physicists • Feynman Propagator on the Sphere • Green's Function • Legendre Functions • Mathematical Methods of Quantum Theory
ISBN-10 3-030-35088-6 / 3030350886
ISBN-13 978-3-030-35088-8 / 9783030350888
Zustand Neuware
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