Methods of Mathematical Physics, Volume 1John Wiley & Sons, 26/09/2008 - 575 páginas Since the first volume of this work came out in Germany in 1924, this book, together with its second volume, has remained standard in the field. Courant and Hilbert's treatment restores the historically deep connections between physical intuition and mathematical development, providing the reader with a unified approach to mathematical physics. The present volume represents Richard Courant's second and final revision of 1953. |
Palavras e frases frequentes
admissible functions approximated arbitrarily small arbitrary assume asymptotic Bessel functions bound boundary conditions calculus of variations coefficients consider constant continuous first continuous function converges uniformly coordinates corresponding curve defined denotes determined differential equation differential expression difierential domain G dx dy eigen eigenfunctions eigenvalue problem equa equal equation L[u Euler equations example exists expansion theorem extremum find finite number first fixed follows Fourier series func function f fundamental domain given Green’s function hence independent variables inequality integral equation integrand interval Legendre polynomials linear linearly independent Math matrix maximum maximum-minimum multiply n-th eigenvalue normalized obtain orthogonal system parameter path of integration piecewise continuous positive definite prove quadratic form relation representation respect satisfies satisfy second order sequence solution spherical harmonics square subsection subsidiary condition surface symmetric kernel system of functions theory tion transformation valid vanish identically variational problem vector vibration zero