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viii CONTENTS
CHAPTER 14 FOURIER INTEGRALS 363
The Fourier integral. Equivalent forms of Fourier’s integral theorem.
Fourier transforms.
CHAPTER 15 GAMMA AND BETA FUNCTIONS 375
The gamma function. Table of values and graph of the gamma function.
The beta function. Dirichlet integrals.
CHAPTER 16 FUNCTIONS OF A COMPLEX VARIABLE 392
Functions. Limits and continuity. Derivatives. Cauchy-Riemann equa-
tions. Integrals. Cauchy’s theorem. Cauchy’s integral formulas. Taylor’s
series. Singular points. Poles. Laurent’s series. Branches and branch
points. Residues. Residue theorem. Evaluation of definite integrals.
INDEX 425
