Complex Analysis Joseph Bak Donald J.Newman 3rd Edition
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Complex Analysis Joseph Bak Donald J.Newman 3rd Edition
Complex Analysis Joseph Bak Donald J.Newman 3rd Edition
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Contents
Preface to the Third Edition
Preface to the Second Edition
1 The Complex Numbers
2 Functions of the Complex Variable z
3 Analytic Functions
4 Line Integrals and Entire Functions
5 Propertiesof Entire Functions
6 Propertiesof Analytic Functions
7 Further Propertiesof Analytic Functions
8 Simply Connected Domains
9 Isolated Singularities of an AnalyticFunction
10 The Residue Theorem
11 Applications of the Residue Theorem to the Evaluation of Integrals and Sums
12 Further Contour IntegralTechniques
13 Introductionto ConformalMapping
14 The Riemann Mapping Theorem
15 Maximum-Modulus Theorems for Unbounded Domains
16 Harmonic Functions
17 Different Forms of Analytic Functions
18 Analytic Continuation; The Gamma and Zeta Functions
19 Applications to Other Areas of Mathematics
Answers
References
Appendices
Index
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