Applied Complex Variables for Scientists and Engineers

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Cambridge University Press, Feb 7, 2002 - Mathematics - 392 pages
2 Reviews
This introduction to complex variable methods for scientists and engineers begins by carefully defining complex numbers and analytic functions and then offers accounts of complex integration, Taylor series, singularities, residues, and mappings. Both algebraic and geometric tools are employed to provide the greatest understanding, with many diagrams illustrating the concepts introduced. The book emphasizes the importance of understanding the use of methods, rather than on rigorous proofs. The book's devotion to applications of the material to physical problems will appeal to scientists. Example applications include detailed treatments of potential theory, hydrodynamics, electrostatics, gravitation and the uses of the Laplace transform for partial differential equations. With 300 stimulating exercises and solutions it will be highly suitable for students wishing to learn the elements of complex analysis in an applied context.
 

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Introductory text on complex variable methods for scientists, with many applications.
Дополнительная информация
Applied complex variables for scientists and engineers
Авторы: Yue-Kuen Kwok
Edition: illustrated
Опубликовано издательством Cambridge University Press, 2002
ISBN 0521004624, 9780521004626
Всего страниц: 392
Цікава задача №2.31
 

Contents

II
1
III
5
IV
7
V
13
VI
16
VII
17
VIII
22
IX
26
LIV
160
LV
164
LVI
169
LVII
177
LX
179
LXI
180
LXII
183
LXIII
184

X
27
XI
29
XII
33
XIII
40
XV
42
XVI
44
XVII
47
XVIII
48
XX
50
XXI
52
XXII
54
XXIII
55
XXIV
60
XXV
61
XXVI
63
XXVII
65
XXVIII
69
XXIX
73
XXX
74
XXXI
81
XXXII
82
XXXIII
84
XXXIV
85
XXXV
90
XXXVI
92
XXXVII
94
XXXVIII
96
XXXIX
99
XL
102
XLI
105
XLII
109
XLIII
112
XLIV
118
XLV
119
XLVI
120
XLVII
127
XLVIII
136
XLIX
138
L
142
LII
147
LXIV
186
LXV
190
LXVI
196
LXVII
205
LXVIII
208
LXIX
211
LXX
212
LXXI
221
LXXII
227
LXXIII
232
LXXV
234
LXXVI
236
LXXVII
239
LXXVIII
243
LXXIX
244
LXXX
248
LXXXI
251
LXXXII
258
LXXXIV
262
LXXXV
263
LXXXVI
272
LXXXVII
273
LXXXIX
280
XC
285
XCI
287
XCII
291
XCIII
298
XCV
303
XCVI
308
XCVII
326
XCVIII
332
XCIX
335
C
338
CI
341
CII
350
CIII
358
CIV
368
CV
377
CVI
389
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About the author (2002)

Yue Kuen Kwok is a Professor in the Department of Mathematics at the Hong Kong University of Science and Technology.

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