A First Course in Mathematical Analysis

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Cambridge University Press, Dec 14, 1978 - Mathematics - 186 pages
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This straightforward course based on the idea of a limit is intended for students who have acquired a working knowledge of the calculus and are ready for a more systematic treatment which 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. A large number of examples is included, with hints for the solution of many of them.
 

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Contents

II
1
III
2
IV
3
V
7
VI
8
VII
10
VIII
13
IX
15
XLIII
92
XLIV
94
XLV
96
XLVI
97
XLVII
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XLVIII
101
XLIX
104
L
105

X
18
XI
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XII
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XIII
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XIV
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XV
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XVI
31
XVII
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XVIII
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XIX
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XX
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XXI
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XXII
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XXIII
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XXIV
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XXVI
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XXVII
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XXVIII
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XXIX
57
XXX
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XXXI
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XXXII
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XXXIII
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XXXIV
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XXXV
72
XXXVI
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XXXVII
75
XXXVIII
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XXXIX
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XL
82
XLI
88
XLII
90
LII
106
LIII
107
LIV
110
LV
112
LVI
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LVII
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LVIII
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LIX
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LX
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LXI
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LXII
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LXIII
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LXIV
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LXV
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LXVI
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LXVII
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LXVIII
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LXIX
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LXX
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LXXI
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LXXII
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LXXIII
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LXXIV
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LXXV
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LXXVI
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LXXVII
159
LXXVIII
163
LXXIX
164
LXXX
166
LXXXI
170
LXXXII
185
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