Complex Analysis [4th ed.] 9780387985923, 0387985921
This is the fourth edition of Serge Lang's Complex Analysis. The first part of the book covers the basic material o
470 58 3MB
English Pages 505 Year 1999
Table of contents :
Front Matter....Pages i-xiv
Front Matter....Pages 1-1
Complex Numbers and Functions....Pages 3-37
Power Series....Pages 38-86
Cauchy’s Theorem, First Part....Pages 87-122
Cauchy’s Theorem, Second Part....Pages 123-143
Applications of Cauchy’s Integral Formula....Pages 144-164
Calculus of Residues....Pages 165-195
Conformal Mappings....Pages 196-223
Harmonic Functions....Pages 224-251
Front Matter....Pages 253-253
Applications of the Maximum Modulus Principle....Pages 255-275
Entire and Meromorphic Functions....Pages 276-291
Elliptic Functions....Pages 292-306
Differentiating Under an Integral....Pages 307-323
Analytic Continuation....Pages 324-339
The Riemann Mapping Theorem....Pages 340-358
Back Matter....Pages 359-370
Front Matter....Pages i-xiv
Front Matter....Pages 1-1
Complex Numbers and Functions....Pages 3-37
Power Series....Pages 38-86
Cauchy’s Theorem, First Part....Pages 87-122
Cauchy’s Theorem, Second Part....Pages 123-143
Applications of Cauchy’s Integral Formula....Pages 144-164
Calculus of Residues....Pages 165-195
Conformal Mappings....Pages 196-223
Harmonic Functions....Pages 224-251
Front Matter....Pages 253-253
Applications of the Maximum Modulus Principle....Pages 255-275
Entire and Meromorphic Functions....Pages 276-291
Elliptic Functions....Pages 292-306
Differentiating Under an Integral....Pages 307-323
Analytic Continuation....Pages 324-339
The Riemann Mapping Theorem....Pages 340-358
Back Matter....Pages 359-370
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