Analysis for Applied Mathematics

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Springer Science & Business Media, Jun 21, 2001 - Mathematics - 448 pages
1 Review
This book evolved from a course at our university for beginning graduate stu dents in mathematics-particularly students who intended to specialize in ap plied mathematics. The content of the course made it attractive to other math ematics students and to graduate students from other disciplines such as en gineering, physics, and computer science. Since the course was designed for two semesters duration, many topics could be included and dealt with in de tail. Chapters 1 through 6 reflect roughly the actual nature of the course, as it was taught over a number of years. The content of the course was dictated by a syllabus governing our preliminary Ph. D. examinations in the subject of ap plied mathematics. That syllabus, in turn, expressed a consensus of the faculty members involved in the applied mathematics program within our department. The text in its present manifestation is my interpretation of that syllabus: my colleagues are blameless for whatever flaws are present and for any inadvertent deviations from the syllabus. The book contains two additional chapters having important material not included in the course: Chapter 8, on measure and integration, is for the ben efit of readers who want a concise presentation of that subject, and Chapter 7 contains some topics closely allied, but peripheral, to the principal thrust of the course. This arrangement of the material deserves some explanation.
 

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Contents

II
1
IV
6
V
15
VI
19
VII
24
VIII
30
IX
40
X
47
XXXIX
261
XL
269
XLI
273
XLII
281
XLIII
287
XLIV
294
XLV
301
XLVI
305

XI
53
XII
58
XIII
61
XV
70
XVI
81
XVII
91
XVIII
105
XIX
115
XXI
121
XXII
125
XXIII
135
XXIV
145
XXV
152
XXVI
170
XXVII
176
XXVIII
186
XXIX
191
XXX
198
XXXI
205
XXXII
213
XXXIII
225
XXXIV
232
XXXV
237
XXXVI
246
XXXVII
253
XXXVIII
257
XLVII
310
XLVIII
318
XLIX
321
L
325
LI
333
LIII
339
LIV
342
LV
347
LVI
351
LVII
361
LVIII
367
LIX
373
LX
381
LXII
386
LXIII
391
LXIV
394
LXV
399
LXVI
404
LXVII
409
LXVIII
413
LXIX
417
LXX
420
LXXI
429
LXXII
437
LXXIII
443
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