科學數學：註釋手冊

　　A quick review for students or researchers already familiar with the material presented Annotations given to provide intuitive insights not to be found in traditional mathematics handbooks Essential mathematical concepts, definitions, theorems and formulas for the understanding and application of physical sciences

　　USAGES：

　　The text book for a scientific mathematics course, in which the complete proofs or full discussions of some listed results may be assigned as homework at the instructor's discretion An introductory or reference book for mathematicians interested in physical sciences

作者簡介

黃克寧

　　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

CHAPTER 1 NOTATIONS AND CONSTANTS
CHAPTER 2 THEORY OF SETS
CHAPTER 3 POINT SET THEORY
CHAPTER 4 NUMBER SYSTEMS
CHAPTER 5 ELEMENTARY ALGEBRA
CHAPTER 6 ELEMENTARY CALCULUS
CHAPTER 7 VECTOR ANALYSIS
CHAPTER 8 CONVERGENCE OF A SEQUENCE OF FUNCTIONS
CHAPTER 9 DIFFERENTIABILITY AND ANALYTICITY OF FUNCTIONS
CHAPTER 10 FOURIER ANALYSIS
CHAPTER 11 CALCULUS OF VARIATIONS
CHAPTER 12 DETERMINANTS
CHAPTER 13 MATRICES
CHAPTER 14 GROUPS
CHAPTER 15 ORDINARY DIFFERENTIAL EQUATIONS
CHAPTER 16 PARTIAL DIFFERENTIAL EQUATIONS
CHAPTER 17 COMPLEX-VALUED FUNCTIONS
CHAPTER 18 GAMMA AND POLYGAMMA FUNCTIONS
CHAPTER 19 HYPERGEOMETRIC FUNCTIONS
CHAPTER 20 CONFLUENT HYPERGEOMETRIC FUNCTIONS
CHAPTER 21 WHITTAKER FUNCTIONS
CHAPTER 22 BESSEL FUNCTIONS
CHAPTER 23 SPHERICAL BESSEL FUNCTION
CHAPTER 24 LAGUERRE FUNCTIONS
CHAPTER 25 HERMITE POLYNOMIALS
CHAPTER 26 LEGENDRE FUNCTIONS
CHAPTER 27 SPHERICAL HARMONICS
CHAPTER 28 RIEMANN EQUATION
CHAPTER 29 EIGENVALUE PROBLEMS OF SECOND-ORDER DIFFERENTIAL OPERATORS
CHAPTER 30 GREEN’S FUNCTIONS
CHAPTER 31 ANALYTIC GEOMETRY OF SPACES
CHAPTER 32 LINEAR VECTOR SPACES
CHAPTER 33 OPERATORS IN A LINEAR VECTOR SPACE
CHAPTER 34 REPRESENTATIONS OF A LINEAR VECTOR SPACE
CHAPTER 35 COORDINATE SYSTEMS
CHAPTER 36 TENSOR ANALYSIS
CHAPTER 37 THEORY OF PROBABILITY
CHAPTER 38 ANGULAR-MOMENTUM EIGENSTATES
CHAPTER 39 CLEBSH-GORDAN COEFFICIENTS
CHAPTER 40 WIGNER 3-j SYMBOLS
CHAPTER 41 THE 3n-j SYMBOLS
CHAPTER 42 THE 3-kn SYMBOLS
CHAPTER 43 THE SQUARE SYMBOLS