內容簡介
FEATURES：A comprehensive Mathematics Handbook prepared forscientists as well as for engineersA quick review for students or researchers alreadyfamiliar with the material presentedAnnotations given to provide intuitive insights not to befound in traditional mathematics handbooksEssential mathematical concepts, definitions, theoremsand formulas for the understanding and application ofphysical sciencesUSAGES：The text book for a scientific mathematics course, inwhich the complete proofs or full discussions of somelisted results may be assigned as homework at theinstructor's discretionAn introductory or reference book for mathematiciansinterested in physical sciences
作者介紹
台灣大學 物理學系教授中央研究院 原子與分子科學研究所 研究員
目次
CHAPTER 1 NOTATIONS AND CONSTANTSCHAPTER 2 THEORY OF SETSCHAPTER 3 POINT SET THEORYCHAPTER 4 NUMBER SYSTEMSCHAPTER 5 ELEMENTARY ALGEBRACHAPTER 6 ELEMENTARY CALCULUSCHAPTER 7 VECTOR ANALYSISCHAPTER 8 CONVERGENCE OF A SEQUENCE OF FUNCTIONSCHAPTER 9 DIFFERENTIABILITY AND ANALYTICITY OF FUNCTIONSCHAPTER 10 FOURIER ANALYSISCHAPTER 11 CALCULUS OF VARIATIONSCHAPTER 12 DETERMINANTSCHAPTER 13 MATRICESCHAPTER 14 GROUPSCHAPTER 15 ORDINARY DIFFERENTIAL EQUATIONSCHAPTER 16 PARTIAL DIFFERENTIAL EQUATIONSCHAPTER 17 COMPLEX-VALUED FUNCTIONSCHAPTER 18 GAMMA AND POLYGAMMA FUNCTIONSCHAPTER 19 HYPERGEOMETRIC FUNCTIONSCHAPTER 20 CONFLUENT HYPERGEOMETRIC FUNCTIONSCHAPTER 21 WHITTAKER FUNCTIONSCHAPTER 22 BESSEL FUNCTIONSCHAPTER 23 SPHERICAL BESSEL FUNCTIONCHAPTER 24 LAGUERRE FUNCTIONSCHAPTER 25 HERMITE POLYNOMIALSCHAPTER 26 LEGENDRE FUNCTIONSCHAPTER 27 SPHERICAL HARMONICSCHAPTER 28 RIEMANN EQUATIONCHAPTER 29 EIGENVALUE PROBLEMS OF SECOND-ORDER DIFFERENTIAL OPERATORSCHAPTER 30 GREEN’S FUNCTIONSCHAPTER 31 ANALYTIC GEOMETRY OF SPACESCHAPTER 32 LINEAR VECTOR SPACESCHAPTER 33 OPERATORS IN A LINEAR VECTOR SPACECHAPTER 34 REPRESENTATIONS OF A LINEAR VECTOR SPACECHAPTER 35 COORDINATE SYSTEMSCHAPTER 36 TENSOR ANALYSISCHAPTER 37 THEORY OF PROBABILITYCHAPTER 38 ANGULAR-MOMENTUM EIGENSTATESCHAPTER 39 CLEBSH-GORDAN COEFFICIENTSCHAPTER 40 WIGNER 3-j SYMBOLSCHAPTER 41 THE 3n-j SYMBOLSCHAPTER 42 THE 3-kn SYMBOLSCHAPTER 43 THE SQUARE SYMBOLS
