Overview

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.

Full Product Details

Author:   Wolfgang Schweizer
Publisher:   Springer Nature Switzerland AG
Imprint:   Springer Nature Switzerland AG
Edition:   1st ed. 2021
Weight:   0.462kg
ISBN:  

9783030642310

ISBN 10:   3030642313
Pages:   282
Publication Date:   19 February 2021
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
We will order this item for you from a manufactured on demand supplier.

Table of Contents

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.

Reviews

Author Information

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.

Tab Content 6

Author Website:  

Customer Reviews

Recent Reviews

No review item found!

Add your own review!

Countries Available

All regions