A Second Course in Mathematical Analysis

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Cambridge University Press, Oct 24, 2002 - Mathematics - 526 pages
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The classic analysis textbook from Burkill and Burkill is now available in the Cambridge Mathematical Library. This straightforward course, based on the idea of a limit, is for students of mathematics and physics who have acquired a working knowledge of calculus and are ready for a more systematic approach. The treatment given here also brings in other limiting processes, such as the summation of infinite series and the expansion of trigonometric functions as power series. Particular attention is given to clarity of exposition and the logical development of the subject matter.
 

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Contents

II
1
III
5
IV
6
V
10
VI
17
VII
21
VIII
25
IX
31
LVIII
289
LIX
297
LX
299
LXI
302
LXII
307
LXIII
311
LXIV
315
LXV
320

X
32
XI
35
XII
43
XIII
47
XIV
57
XV
60
XVI
67
XVII
70
XVIII
75
XIX
77
XX
84
XXI
86
XXII
89
XXIII
93
XXIV
95
XXV
100
XXVI
103
XXVII
109
XXVIII
116
XXIX
122
XXX
127
XXXI
132
XXXII
137
XXXIII
139
XXXIV
148
XXXV
156
XXXVI
162
XXXVII
168
XXXVIII
173
XXXIX
178
XL
181
XLI
187
XLII
195
XLIII
197
XLIV
204
XLV
208
XLVI
212
XLVII
222
XLVIII
226
XLIX
231
L
237
LI
244
LII
246
LIII
252
LIV
258
LV
265
LVI
274
LVII
278
LXVI
323
LXVII
327
LXVIII
330
LXIX
335
LXX
338
LXXI
341
LXXII
345
LXXIII
346
LXXIV
348
LXXV
352
LXXVI
355
LXXVII
358
LXXVIII
360
LXXIX
361
LXXX
364
LXXXI
367
LXXXII
368
LXXXIII
370
LXXXIV
372
LXXXV
375
LXXXVI
378
LXXXVII
381
LXXXVIII
383
LXXXIX
386
XC
389
XCI
390
XCII
392
XCIII
396
XCIV
397
XCV
399
XCVI
400
XCVII
404
XCVIII
408
XCIX
411
C
414
CI
416
CII
424
CIII
425
CIV
428
CV
432
CVI
436
CVII
440
CVIII
444
CIX
451
CX
453
CXI
522
CXII
523
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