Advanced Calculus

Front Cover
Courier Corporation, 1989 - Mathematics - 520 pages
6 Reviews

This classic text by a distinguished mathematician and former Professor of Mathematics at Harvard University, leads students familiar with elementary calculus into confronting and solving more theoretical problems of advanced calculus. In his preface to the first edition, Professor Widder also recommends various ways the book may be used as a text in both applied mathematics and engineering.
Believing that clarity of exposition depends largely on precision of statement, the author has taken pains to state exactly what is to be proved in every case. Each section consists of definitions, theorems, proofs, examples and exercises. An effort has been made to make the statement of each theorem so concise that the student can see at a glance the essential hypotheses and conclusions.
For this second edition, the author has improved the treatment of Stieltjes integrals to make it more useful to the reader less than familiar with the basic facts about the
Riemann integral. In addition the material on series has been augmented by the inclusion of the method of partial summation of the Schwarz-Holder inequalities, and of additional results about power series. Carefully selected exercises, graded in difficulty, are found in abundance throughout the book; answers to many of them are contained in a final section.

  

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Review: Advanced Calculus

User Review  - Kumar Mayank - Goodreads

good Read full review

Review: Advanced Calculus

User Review  - Ashiqul Dip - Goodreads

Mathematically rigorous, but difficult to digest. I liked the chapter on Fourier specially. Read full review

Contents

I
1
II
2
IV
3
V
6
VII
8
VIII
9
X
11
XI
12
CCXXVIII
260
CCXXIX
263
CCXXX
264
CCXXXI
268
CCXXXIII
269
CCXXXV
271
CCXXXVII
273
CCXXXVIII
274

XII
13
XIV
14
XV
16
XVII
19
XIX
20
XX
21
XXI
23
XXII
24
XXIII
25
XXIV
27
XXVI
28
XXVII
29
XXIX
33
XXXI
34
XXXIII
36
XXXIV
37
XXXV
38
XXXVI
39
XXXVII
40
XXXVIII
43
XL
44
XLI
48
XLIV
50
XLV
52
XLVIII
53
XLIX
55
LI
57
LII
58
LIII
59
LIV
62
LV
63
LVI
64
LVIII
66
LX
67
LXI
69
LXII
70
LXIII
71
LXIV
72
LXV
75
LXVII
76
LXVIII
79
LXX
81
LXXII
84
LXXIV
85
LXXV
86
LXXVI
88
LXXVII
89
LXXVIII
90
LXXIX
92
LXXX
93
LXXXII
95
LXXXIII
97
LXXXV
98
LXXXVI
101
LXXXVII
102
LXXXIX
105
XCI
107
XCIII
108
XCIV
109
XCVI
110
XCVII
111
XCIX
113
CI
115
CII
116
CIII
118
CIV
119
CV
120
CVI
122
CVIII
123
CIX
124
CX
126
CXII
128
CXIII
130
CXIV
132
CXVI
134
CXVII
135
CXIX
138
CXX
139
CXXI
141
CXXIII
143
CXXIV
144
CXXV
145
CXXVII
147
CXXVIII
149
CXXIX
151
CXXX
152
CXXXI
155
CXXXIII
156
CXXXVI
159
CXXXVIII
160
CXXXIX
161
CXL
162
CXLI
163
CXLII
165
CXLIV
167
CXLV
170
CXLVII
171
CXLIX
172
CL
173
CLI
174
CLII
175
CLIII
176
CLV
178
CLVII
181
CLVIII
182
CLIX
183
CLX
185
CLXIII
186
CLXIV
188
CLXVI
190
CLXVII
191
CLXVIII
192
CLXX
193
CLXXI
195
CLXXIII
196
CLXXIV
198
CLXXVI
199
CLXXVII
200
CLXXVIII
202
CLXXXI
203
CLXXXII
204
CLXXXIV
206
CLXXXVI
207
CLXXXVII
208
CLXXXVIII
210
CXC
211
CXCI
213
CXCIII
214
CXCIV
215
CXCVI
217
CXCVII
218
CXCVIII
221
CXCIX
223
CCI
224
CCII
225
CCIV
227
CCVI
229
CCVII
230
CCIX
232
CCXI
234
CCXII
237
CCXIII
239
CCXV
241
CCXVI
243
CCXVII
244
CCXIX
246
CCXXI
247
CCXXII
249
CCXXIII
251
CCXXIV
252
CCXXV
257
CCXXVI
258
CCXXVII
259
CCXXXIX
277
CCXLI
279
CCXLII
280
CCXLIII
281
CCXLIV
284
CCXLV
285
CCXLVI
288
CCXLVIII
289
CCL
292
CCLII
293
CCLIII
295
CCLIV
296
CCLVI
298
CCLVII
299
CCLVIII
301
CCLX
303
CCLXII
304
CCLXIII
305
CCLXIV
307
CCLXV
308
CCLXVI
309
CCLXVII
310
CCLXVIII
311
CCLXIX
313
CCLXXI
314
CCLXXII
315
CCLXXIII
318
CCLXXV
319
CCLXXVI
320
CCLXXVII
323
CCLXXVIII
324
CCLXXX
326
CCLXXXI
327
CCLXXXII
330
CCLXXXV
333
CCLXXXVII
335
CCLXXXVIII
337
CCLXXXIX
338
CCXCI
339
CCXCIII
341
CCXCIV
342
CCXCVI
343
CCXCVIII
344
CCXCIX
347
CCC
348
CCCI
350
CCCIII
351
CCCIV
353
CCCV
354
CCCVI
356
CCCVIII
357
CCCIX
358
CCCX
361
CCCXIII
362
CCCXIV
364
CCCXVI
365
CCCXVIII
367
CCCXIX
368
CCCXX
369
CCCXXI
371
CCCXXII
372
CCCXXIII
373
CCCXXV
374
CCCXXVI
375
CCCXXVII
376
CCCXXVIII
378
CCCXXIX
379
CCCXXX
380
CCCXXXI
381
CCCXXXII
383
CCCXXXIII
384
CCCXXXIV
386
CCCXXXV
387
CCCXXXVI
388
CCCXXXVII
389
CCCXXXVIII
393
CCCXXXIX
394
CCCXL
396
CCCXLI
398
CCCXLII
399
CCCXLIII
401
CCCXLV
403
CCCXLVII
404
CCCXLVIII
405
CCCXLIX
406
CCCL
408
CCCLII
409
CCCLIII
410
CCCLIV
413
CCCLV
414
CCCLVII
416
CCCLVIII
417
CCCLIX
418
CCCLX
419
CCCLXI
421
CCCLXII
422
CCCLXIII
423
CCCLXV
425
CCCLXVII
426
CCCLXVIII
427
CCCLXIX
428
CCCLXX
429
CCCLXXI
431
CCCLXXIII
432
CCCLXXV
433
CCCLXXVI
434
CCCLXXVII
436
CCCLXXVIII
437
CCCLXXIX
438
CCCLXXX
440
CCCLXXXI
441
CCCLXXXIII
443
CCCLXXXIV
445
CCCLXXXVI
446
CCCLXXXVIII
448
CCCXC
449
CCCXCI
450
CCCXCIII
452
CCCXCV
453
CCCXCVI
454
CCCXCVII
455
CCCXCVIII
456
CCCXCIX
457
CD
459
CDII
460
CDIII
461
CDIV
462
CDV
463
CDVI
465
CDIX
466
CDX
468
CDXII
470
CDXIII
471
CDXIV
474
CDXV
476
CDXVI
478
CDXVIII
480
CDXX
482
CDXXII
483
CDXXIII
484
CDXXV
487
CDXXVIII
488
CDXXIX
490
CDXXXI
491
CDXXXII
492
CDXXXIV
494
CDXXXV
495
CDXXXVII
496
CDXXXVIII
499
CDXXXIX
511
CDXL
513
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