Spherical Harmonics in p Dimensions
Nonfiction, Science & Nature, Mathematics, Differential Equations, Mathematical Analysis
| Author: | Christopher Frye, Costas Efthimiou | ISBN: | 9789814596718 |
| Publisher: | World Scientific Publishing Company | Publication: | March 7, 2014 |
| Imprint: | WSPC | Language: | English |
| Author: | Christopher Frye, Costas Efthimiou |
| ISBN: | 9789814596718 |
| Publisher: | World Scientific Publishing Company |
| Publication: | March 7, 2014 |
| Imprint: | WSPC |
| Language: | English |
The current book makes several useful topics from the theory of special functions, in particular the theory of spherical harmonics and Legendre polynomials in arbitrary dimensions, available to undergraduates studying physics or mathematics. With this audience in mind, nearly all details of the calculations and proofs are written out, and extensive background material is covered before exploring the main subject matter.
Contents:
- Introduction and Motivation
- Working in p Dimensions
- Orthogonal Polynomials
- Spherical Harmonics in p Dimensions
- Solutions to Problems
Readership: Undergraduate and graduate students in mathematical physics and differential equations.
Key Features:
- Accessible to everyone (including undergraduate students who have some knowledge in mathematics)
- Presents a topic that, although well-studied, is not widely disseminated in books
- Solutions to all end-of-chapter problems with all the necessary details are given in the final chapter of the book
The current book makes several useful topics from the theory of special functions, in particular the theory of spherical harmonics and Legendre polynomials in arbitrary dimensions, available to undergraduates studying physics or mathematics. With this audience in mind, nearly all details of the calculations and proofs are written out, and extensive background material is covered before exploring the main subject matter.
Contents:
- Introduction and Motivation
- Working in p Dimensions
- Orthogonal Polynomials
- Spherical Harmonics in p Dimensions
- Solutions to Problems
Readership: Undergraduate and graduate students in mathematical physics and differential equations.
Key Features:
- Accessible to everyone (including undergraduate students who have some knowledge in mathematics)
- Presents a topic that, although well-studied, is not widely disseminated in books
- Solutions to all end-of-chapter problems with all the necessary details are given in the final chapter of the book
