Spherical harmonics : an elementary treatise on harmonic functions with applications / by T. M. MacRobert.
Series International series of monographs in pure and applied mathematics ; v. 98Editor: Oxford : Pergamon Press, c1967Edición: 3d ed. rev. / with the assistance of I. N. SneddonDescripción: xviii, 349 p. : il., retr. ; 24 cmOtra clasificación: 33C55Capítulos: I. Fourier seriesII. Conduction of heatIII. Transverse vibrations of stretched stringsIV. Spherical harmonics : the hypergeometric functionV. The Legendre polynomialsVI. The Legendre functionsVII. The associated Legendre functions of integral orderVIII. Applications of Legendre coefficients to potential theoryIX. Potentials of spherical shells, spheres, and spheroidsX. Applications to electrostaticsXI. Ellipsoids of revolutionXII. Eccentric spheresXIII. Clerk Maxwell's theory of spherical harmonicsXIV. Bessel functionsXV. Asymptotic expansions and Fourier-Bessel expansionsXVI. Applications of Bessel functionsXVII. The hypergeometric functionXVIII. Associated Legendre functions of general order.
| Item type | Home library | Shelving location | Call number | Materials specified | Status | Date due | Barcode |
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Libros
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Instituto de Matemática, CONICET-UNS | Libros ordenados por tema | 33 M174 (Browse shelf) | Available | A-4076 |
"First and second ed. published in 1927 and 1947".
Capítulos: I. Fourier series -- II. Conduction of heat -- III. Transverse vibrations of stretched strings -- IV. Spherical harmonics : the hypergeometric function -- V. The Legendre polynomials -- VI. The Legendre functions -- VII. The associated Legendre functions of integral order -- VIII. Applications of Legendre coefficients to potential theory -- IX. Potentials of spherical shells, spheres, and spheroids -- X. Applications to electrostatics -- XI. Ellipsoids of revolution -- XII. Eccentric spheres -- XIII. Clerk Maxwell's theory of spherical harmonics -- XIV. Bessel functions -- XV. Asymptotic expansions and Fourier-Bessel expansions -- XVI. Applications of Bessel functions -- XVII. The hypergeometric function -- XVIII. Associated Legendre functions of general order.
"Publications of Thomas Murray MacRobert": p. xv-xviii.
Bibliografía: p. 339.
MR, 36 #4037
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