Functions of One Complex Variable I

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Springer Science & Business Media, Aug 24, 1978 - Mathematics - 317 pages
This book is intended as a textbook for a first course in the theory of functions of one complex variable for students who are mathematically mature enough to understand and execute E - 8 arguments. The actual pre requisites for reading this book are quite minimal; not much more than a stiff course in basic calculus and a few facts about partial derivatives. The topics from advanced calculus that are used (e.g., Leibniz's rule for differ entiating under the integral sign) are proved in detail. Complex Variables is a subject which has something for all mathematicians. In addition to having applications to other parts of analysis, it can rightly claim to be an ancestor of many areas of mathematics (e.g., homotopy theory, manifolds). This view of Complex Analysis as "An Introduction to Mathe matics" has influenced the writing and selection of subject matter for this book. The other guiding principle followed is that all definitions, theorems, etc.
 

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Pl available this book as like as part II

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It is a great book. Clear writing and good exercise collection but a bit hard to follow.

Contents

Chapter 1
1
Chapter 11
11
Chapter III
30
را
56
Chapter IV
58
moru
66
0401
71
Chapter V
103
16
190
643
191
Chapter VIII
195
G Ris harmonic then u
204
Chapter IX
210
G+
212
T
242
Chapter X
252

с
104
over it is not difficult to see that the
106
ཨཁམམ
111
82
112
4famsunered
116
ܪܘ
117
col
121
Chapter VI
128
Chapter VII
142
مه
155
lea
159
equation will give that f and I are everywhere identical
180
1
184
164 lo
186
jrde
189
ſmestremo
253
facto
254
wm
257
veya
258
applying Dinis Theorem Exercise VII16 Another involves
262
+
272
Chapter XI
279
Śros +
281
ܗܬ
282
Chapter XII
292
Appendix A
303
Appendix B
307
1 L V AHLFORS Complex Analysis
311
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