Introduction to Calculus and Analysis II/1

Front Cover
Springer Science & Business Media, Dec 14, 1999 - Mathematics - 556 pages
4 Reviews
From the reviews: "These books (Introduction to Calculus and Analysis Vol. I/II) are very well written. The mathematics are rigorous but the many examples that are given and the applications that are treated make the books extremely readable and the arguments easy to understand. These books are ideally suited for an undergraduate calculus course. Each chapter is followed by a number of interesting exercises. More difficult parts are marked with an asterisk. There are many illuminating figures...Of interest to students, mathematicians, scientists and engineers. Even more than that."
Newsletter on Computational and Applied Mathematics, 1991
"...one of the best textbooks introducing several generations of mathematicians to higher mathematics. ... This excellent book is highly recommended both to instructors and students."
Acta Scientiarum Mathematicarum, 1991
 

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Contents

I
1
II
3
III
6
IV
9
VI
11
VII
12
VIII
13
IX
17
LXXXIX
273
XC
275
XCI
278
XCII
288
XCIII
290
XCIV
292
XCV
296
XCVI
303

X
19
XI
22
XII
26
XIII
32
XIV
34
XV
36
XVI
40
XVII
43
XVIII
46
XIX
49
XX
52
XXI
53
XXII
59
XXIII
60
XXIV
64
XXV
66
XXVI
68
XXVII
71
XXIX
74
XXX
80
XXXI
82
XXXII
85
XXXIII
92
XXXIV
95
XXXV
96
XXXVI
98
XXXVII
102
XXXVIII
104
XXXIX
107
XLI
108
XLII
109
XLIII
110
XLIV
112
XLV
113
XLVI
115
XLVII
117
XLVIII
119
XLIX
122
L
124
LI
127
LII
131
LIII
133
LIV
136
LV
143
LVI
146
LVII
150
LVIII
153
LIX
159
LX
163
LXI
166
LXII
171
LXIII
175
LXIV
180
LXV
187
LXVI
190
LXVII
195
LXVIII
200
LXIX
201
LXX
204
LXXI
205
LXXII
208
LXXIII
211
LXXIV
218
LXXV
219
LXXVI
221
LXXVII
225
LXXVIII
228
LXXIX
230
LXXX
236
LXXXI
238
LXXXII
241
LXXXIII
246
LXXXIV
249
LXXXV
252
LXXXVI
257
LXXXVII
261
LXXXVIII
266
XCVII
307
XCVIII
310
XCIX
312
C
316
CI
325
CII
327
CIII
330
CIV
334
CV
337
CVI
340
CVII
345
CVIII
352
CIX
360
CX
362
CXI
363
CXII
365
CXIII
367
CXIV
370
CXV
372
CXVI
374
CXVII
376
CXVIII
379
CXIX
381
CXX
383
CXXI
385
CXXII
386
CXXIII
388
CXXV
390
CXXVI
392
CXXVII
397
CXXVIII
398
CXXIX
403
CXXX
406
CXXXI
407
CXXXII
411
CXXXIII
414
CXXXIV
417
CXXXV
419
CXXXVI
421
CXXXVII
431
CXXXIX
433
CXL
436
CXLI
438
CXLII
445
CXLIII
448
CXLIV
453
CXLV
455
CXLVI
459
CXLVII
462
CXLVIII
466
CXLIX
469
CL
473
CLI
476
CLII
479
CLIII
481
CLIV
485
CLV
488
CLVI
490
CLVII
497
CLIX
499
CLX
503
CLXI
507
CLXII
508
CLXIII
511
CLXIV
515
CLXV
517
CLXVI
519
CLXVII
524
CLXVIII
526
CLXIX
528
CLXX
531
CLXXI
534
CLXXII
539
CLXXIII
540
CLXXIV
543
CLXXV
545
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About the author (1999)

Richard Courant was born in Lublintz, Germany, on January 8, 1888, later becoming an American citizen. He was a mathematician, researcher and teacher, specializing in variational calculus and its applications to physics, computer science, and related fields. He received his Ph.D. from the University of Gottingen, Germany, lectured at Cambridge University and headed the mathematics department at New York University. Courant's writings include Introduction to Calculus and Analysis (1965), written with John Fritz, Differential and Integral Calculus (1965), Methods of Mathematical Physics: Dirichlet's Principle, Conformal Mapping and Minimal Surfaces (1950), and Supersonic Flow and Shock Waves (1948). He edited a mathematics series and contributed to journals and periodicals. Courant received the Distinguished Service Award from the Mathematical Association of America in 1965. He earned the Navy Distinguished Public Service Award, the Knight-Commander's cross, and Germany's Star of the Order of Merit in 1958. Courant died on January 27, 1972.

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