Book:E.T. Copson/An Introduction to the Theory of Functions of a Complex Variable

Subject Matter

 * Complex Analysis

Contents

 * PREFACE
 * I. COMPLEX NUMBERS
 * II. THE CONVERGENCE OF INFINITE SERIES
 * III. FUNCTIONS OF A COMPLEX VARIABLE
 * IV. CAUCHY'S THEOREM
 * V. UNIFORM CONVERGENCE
 * VI. THE CALCULUS OF RESIDUES
 * VII. INTEGRAL FUNCTIONS
 * VIII. CONFORMAL REPRESENTATION
 * IX. THE GAMMA FUNCTION
 * X. THE HYPERGEOMETRIC FUNCTIONS
 * XI LEGENDRE FUNCTIONS
 * XII. BESSEL FUNCTIONS
 * XIII. THE ELLIPTIC FUNCTIONS OF WEIERSTRASS
 * XIV. JACOBI'S ELLIPTIC FUNCTIONS
 * XV. ELLIPTIC MODULAR FUNCTIONS AND PICARD'S THEOREM
 * INDEX



Source work progress
* : Chapter $\text {I}$. Complex Numbers: $1.1$ The introduction of complex numbers into algebra