Complex analysis for mathematics and engineering

John H. Mathews, John Matthews, Russell W. Howell0763702706, 9780763702700, 9780585311685

This text is intended for undergraduate, students in mathematics, physics, and engineering. It is intended to balance between the pure and applied aspects of complex analysis and to present concepts in a clear writing style that is understandable to students at the junior or senior undergraduate level. A wealth of exercises that vary in both difficulty and substance gives the text flexibility. Sufficient applications are included to illustrate how complex analysis is used in science and engineering.

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Table of contents :
Cover Page……Page 1
Title Page……Page 2
ISBN 0763702706……Page 3
3 Analytic and Harmonic Functions……Page 4
4 Sequences, Series, and Julia and Mandelbrot Sets……Page 5
7 Taylor and Laurent Series……Page 6
9 Conformal Mapping……Page 7
11 Fourier Series and the Laplace Transform……Page 8
Index……Page 9
Preface……Page 10
1 Complex Numbers……Page 13
2 Complex Functions……Page 50
3 Analytic and Harmonic Functions……Page 83
4 Sequences, Series, and Julia and Mandelbrot Sets……Page 107
5 Elementary Functions……Page 137
6 Complex Integration……Page 169
7 Taylor and Laurent Series……Page 220
8 Residue Theory……Page 256
9 Conformal Mapping……Page 293
10 Applications of Harmonic Functions……Page 322
11 Fourier Series and the Laplace Transform……Page 409
Appendix: Undergraduate Student Research Projects……Page 468
Bibliography……Page 470
Answers to Selected Problems……Page 478
Color Plates……Page 489
A……Page 493
B……Page 494
C……Page 495
D……Page 500
E……Page 502
F……Page 504
G……Page 506
H……Page 507
I……Page 508
L……Page 511
M……Page 514
O……Page 516
P……Page 517
R……Page 520
S……Page 521
T……Page 524
U……Page 526
V……Page 527
Z……Page 528