Special Functions in Physics with MATLAB

Wolfgang Schweizer (Autor)

Buch | Softcover

XVII, 282 Seiten

2021 | 1st ed. 2021
Springer International Publishing (Verlag)
978-3-030-64231-0 (ISBN)

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This handbook focuses on special functions in physics in the real and complex domain. It covers more than 170 different functions with additional numerical hints for efficient computation, which are useful to anyone who needs to program with other programming languages as well. The book comes with MATLAB-based programs for each of these functions and a detailed html-based documentation. Some of the explained functions are: Gamma and Beta functions; Legendre functions, which are linked to quantum mechanics and electrodynamics; Bessel functions; hypergeometric functions, which play an important role in mathematical physics; orthogonal polynomials, which are largely used in computational physics; and Riemann zeta functions, which play an important role, e.g., in quantum chaos or string theory. The book's primary audience are scientists, professionals working in research areas of industries, and advanced students in physics, applied mathematics, and engineering.

lt;b>Wolfgang Schweizer obtained his doctoral degree in physics from the University of Tübingen in 1985, received his Venia Legendi in theoretical physics in 1995, and was appointed extraordinary professor in 2002. In the period 1987-1988, he worked as a postdoctoral researcher in the Department of Mathematics at the RHBNC (University London) and, from 1996 to 1999, at the University of Bochum, where he was involved in a research project granted by the German Research Foundation. Apart from that, he was teaching in the Department of Theoretical Astrophysics and Computational Physics at the University of Tübingen, focusing on computational physics till 2018 and doing research till 2000. In the last two decades, he worked at Math Works in Germany, where he became manager of the training department.

1. Gamma Functions, Beta Functions, and related.- 2. Error Functions and Fresnel Integrals.- 3. Legendre Polynomials and Legendre Functions.- 4. Bessel and Airy Functions.- 5. Struve Functions and Related Functions.- 6. Confluent Hypergeometric Function.- 7. Coulomb Wave Functions.- 8. Hypergeometric Functions.- 9. J Functions.- 10. Jacobi Elliptic Functions.- 11. Elliptic Integrals.- 12. Weierstraß Functions.- 13. Parabolic Cylinder Functions.- 14. Mathieu Functions.- 15. Orthogonal Polynomials - General Aspects.- 16. Hermite Polynomials.- 17. Laguerre Polynomials.- 18. Chebychev Polynomials.- 19. Bernoulli and Euler Polynomials.- 20. Riemann Zeta Function.- 21. Piecewise Interpolation Polynomials.- 22. Wigner- and Clebsch-Gordan Coefficients.- 23. Coordinate Systems.

Erscheinungsdatum	01.03.2021
Zusatzinfo	XVII, 282 p. 49 illus., 17 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	462 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
	Naturwissenschaften ► Physik / Astronomie ► Allgemeines / Lexika
	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
Schlagworte	Bessel functions • Clebsch-Gordan coefficients • complex elliptic functions • complex gamma and beta functions • Hermite Polynomials • hypergeometric functions • Legendre Polynomials • Mathieu functions • orthogonal polynomials • Zeta functions
ISBN-10	3-030-64231-3 / 3030642313
ISBN-13	978-3-030-64231-0 / 9783030642310
Zustand	Neuware