9780073383170

Complex Variables and Applications

Brown, Ruel Churchill

9th Edition

Complex Variables and Applications, 9e will serve, just as the earlier editions did, as a textbook for an introductory course in the theory and application of functions of a complex variable. This new edition preserves the basic content and style of the earlier editions. The text is designed to develop the theory that is prominent in applications of the subject. You will f

30

The Exponential Function

Exercises

p.89

33

Branches and Derivatives of Logarithms

Exercises

p.95

34

Some Identities Involving Logarithms

Exercises

p.99

36

Examples

Exercises

p.103

38

Zeros and Singularities of Trigonometric Functions

Exercises

p.107

39

Hyperbolic Functions

Exercises

p.111

40

Inverse Trigonometric and Hyperbolic Functions

Exercises

p.114

42

Define Integrals of Functions w(t)

Exercises

p.119

43

Contours

Exercises

p.123

46

Examples Involving Branch Cuts

Exercises

p.132

47

Upper Bounds For Moduli of Contour Integrals

Exercises

p.138

49

Proof of the Theorem

Exercises

p.147

53

Multiply Connected Domains

Exercises

p.159

57

Some Consequences of the Extension

Exercises

p.170

59

Maximum Modulus Principle

Exercises

p.177

96

Linear Transformations

Exercises

p.301

98

mappings by 1/z

Exercises

p.305

100

An Implicit Form

Exercises

p.311

102

Examples

Exercises

p.317

106

Some Related Mappings

Exercises

p.325

108

Mappings by Branches of Z1/2

Exercises

p.330

109

Square Roots of Polynomials

Exercises

p.336

110

Riemann Surfaces

Exercises

p.340

111

Surfaces For Related Functions

Exercises

p.343