Real Analysis

Front Cover
Cambridge University Press, Aug 15, 2000 - Mathematics - 401 pages
4 Reviews
This is a course in real analysis directed at advanced undergraduates and beginning graduate students in mathematics and related fields. Presupposing only a modest background in real analysis or advanced calculus, the book offers something to specialists and non-specialists alike, including historical commentary, carefully chosen references, and plenty of exercises.
  

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By far the best real analysis text I've ever used. Especially good for those interested in pursuing functional analysis.

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Carothers has a wonderful style of writing that makes difficult concepts seem very understandable to the beginning graduate student. It is comprehensive, with a slant towards functional analysis. Exercises are excellent. Much easier read than classics like Royden.

Contents

III
3
IV
14
V
17
VI
18
VII
25
VIII
31
IX
34
X
36
LII
202
LIII
210
LIV
212
LV
214
LVI
215
LVII
221
LVIII
225
LIX
232

XI
37
XII
39
XIII
43
XIV
45
XV
49
XVI
51
XVII
53
XVIII
60
XIX
62
XX
63
XXI
69
XXII
73
XXIII
78
XXIV
87
XXV
89
XXVI
92
XXVII
97
XXVIII
102
XXIX
106
XXX
108
XXXI
114
XXXII
120
XXXIII
126
XXXIV
128
XXXV
131
XXXVI
136
XXXVII
137
XXXVIII
139
XXXIX
143
XL
150
XLI
153
XLII
160
XLIII
162
XLIV
170
XLV
176
XLVI
178
XLVII
183
XLVIII
185
XLIX
188
L
194
LI
201
LX
234
LXI
239
LXII
242
LXIII
244
LXIV
250
LXV
254
LXVI
257
LXVII
258
LXVIII
261
LXIX
263
LXX
268
LXXI
274
LXXII
277
LXXIII
283
LXXIV
289
LXXV
292
LXXVI
293
LXXVII
296
LXXVIII
302
LXXIX
304
LXXX
306
LXXXI
310
LXXXII
312
LXXXIII
314
LXXXIV
322
LXXXV
328
LXXXVI
333
LXXXVII
335
LXXXVIII
337
LXXXIX
342
XC
350
XCI
352
XCII
356
XCIII
359
XCIV
370
XCV
377
XCVI
379
XCVII
395
XCVIII
397
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About the author (2000)

Carothers is Professor of Mathematics at Bowling Green State University in Bowling Green, Ohio.

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