TY  - BOOK
AU  - Efthimiou,Costas
AU  - Frye,Christopher
TI  - Spherical harmonics in p dimensions
SN  - 9789814596701
AV  - QC20.7.S645 E38 2014eb
U1  - 515/.785 23
PY  - 2014///]
CY  - Singapore, Hackensack, NJ
PB  - World Scientific
KW  - Spherical harmonics
KW  - Spherical functions
KW  - Legendre's polynomials
KW  - Mathematical physics
KW  - Harmoniques sphériques
KW  - Fonctions sphériques
KW  - Polynômes de Legendre
KW  - Physique mathématique
KW  - MATHEMATICS
KW  - Calculus
KW  - bisacsh
KW  - Mathematical Analysis
KW  - fast
KW  - Electronic books
N1  - Includes bibliographical references and index; 1. Introduction. 1.1. Separation of variables. 1.2. Quantum mechanical angular momentum -- 2. Working in p dimensions. 2.1 Rotations in [symbol]. 2.2. Spherical coordinates in p dimensions. 2.3. The sphere in higher dimensions. 2.4. Arc length in spherical coordinates. 2.5. The divergence theorem in EP. 2.6. [symbol] in spherical coordinates. 2.7. Problems -- 3. Orthogonal polymials. 3.1. Orthogonality and expansions. 3.2. The recurrence formula. 3.3. The Rodrigues formula. 3.4. Approximations by polynomials. 3.5. Hilbert space and completeness. 3.6. Problems -- 4. Spherical harmonics in p dimensions. 4.1. Harmonic homogeneous polynomials. 4.2. Spherical harmonics and orthogonality. 4.3. Legendre polynomials. 4.4. Boundary value problems. 4.5. Problems -- 5. Solutions to problems. 5.1. Solutions to problems of chapter 2. 5.2. Solutions to problems of chapter 3. 5.3. Solutions to problems of chapter 4
N2  - 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
UR  - https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=824749
ER  -