A First Course in Real Analysis

Front Cover
Springer Science & Business Media, Jan 1, 1991 - Mathematics - 534 pages
0 Reviews
This book is designed for a first course in real analysis following the standard course in elementary calculus. Since many students encounter rigorous mathematical theory for the first time in this course, the authors have included such elementary topics as the axioms of algebra and their immediate consequences as well as proofs of the basic theorems on limits. The pace is deliberate, and the proofs are detailed. The emphasis of the presentation is on theory, but the book also contains a full treatment (with many illustrative examples and exercises) of the standard topics in infinite series, Fourier series, multidimensional calculus, elements of metric spaces, and vector field theory. There are many exercises that enable the student to learn the techniques of proofs and the standard tools of analysis. In this second edition, improvements have been made in the exposition, and many of the proofs have been simplified. Additionally, this new edition includes an assortment of new exercises and provides answers for the odd-numbered problems.
  

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

III
1
IV
9
V
15
VI
25
VII
30
VIII
35
IX
42
X
48
XLI
230
XLII
241
XLIII
250
XLIV
254
XLV
263
XLVI
270
XLVII
275
XLVIII
285

XI
55
XII
59
XIII
62
XIV
68
XV
70
XVI
72
XVII
75
XVIII
77
XIX
83
XX
94
XXI
98
XXII
111
XXIII
117
XXIV
122
XXV
130
XXVI
136
XXVII
145
XXVIII
150
XXIX
157
XXX
161
XXXI
164
XXXII
173
XXXIII
178
XXXIV
188
XXXV
194
XXXVI
197
XXXVII
203
XXXVIII
211
XXXIX
216
XL
222
XLIX
290
L
295
LI
305
LII
316
LIII
329
LIV
335
LV
341
LVI
348
LVII
359
LVIII
369
LIX
374
LX
381
LXI
393
LXII
403
LXIII
413
LXIV
423
LXV
434
LXVI
445
LXVII
455
LXVIII
461
LXIX
471
LXX
477
LXXI
486
LXXII
495
LXXIII
499
LXXIV
503
LXXV
507
LXXVI
515
LXXVII
529
Copyright

Common terms and phrases

References to this book

All Book Search results »

Bibliographic information