Functions of One Complex Variable II: II

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Springer Science & Business Media, Jan 1, 1995 - Mathematics - 394 pages
1 Review
This is the sequel to my book Functions of One Complex Variable I, and probably a good opportunity to express my appreciation to the mathemat ical community for its reception of that work. In retrospect, writing that book was a crazy venture. As a graduate student I had had one of the worst learning experiences of my career when I took complex analysis; a truly bad teacher. As a non-tenured assistant professor, the department allowed me to teach the graduate course in complex analysis. They thought I knew the material; I wanted to learn it. I adopted a standard text and shortly after beginning to prepare my lectures I became dissatisfied. All the books in print had virtues; but I was educated as a modern analyst, not a classical one, and they failed to satisfy me. This set a pattern for me in learning new mathematics after I had become a mathematician. Some topics I found satisfactorily treated in some sources; some I read in many books and then recast in my own style. There is also the matter of philosophy and point of view. Going from a certain mathematical vantage point to another is thought by many as being independent of the path; certainly true if your only objective is getting there. But getting there is often half the fun and often there is twice the value in the journey if the path is properly chosen.
  

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Contents

II
1
IV
6
V
14
VI
16
VII
21
VIII
29
IX
33
X
40
XXXIX
196
XL
198
XLI
205
XLIII
210
XLIV
217
XLV
220
XLVI
229
XLVII
235

XI
45
XII
48
XIII
56
XIV
61
XV
71
XVI
76
XVII
81
XVIII
85
XIX
90
XX
97
XXI
100
XXII
109
XXIV
113
XXV
116
XXVI
123
XXVII
125
XXVIII
133
XXIX
136
XXX
142
XXXI
148
XXXII
156
XXXIII
160
XXXIV
169
XXXV
174
XXXVI
177
XXXVII
185
XXXVIII
192
XLVIII
237
XLIX
245
L
246
LI
253
LII
259
LIII
269
LV
272
LVI
278
LVII
295
LVIII
301
LX
311
LXI
313
LXII
315
LXIII
320
LXIV
328
LXV
331
LXVI
339
LXVII
344
LXVIII
352
LXIX
355
LXX
360
LXXI
367
LXXII
376
LXXIII
384
LXXIV
389
LXXV
391
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