Mathematical Analysis and Applications: An Introduction

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Alpha Science Int'l Ltd., 2004 - Mathematics - 341 pages
Starting with a discussion of Real Numbers and Functions, this text introduces standard topics of Differential and Integral Calculus together with their Applications such as Differential Equations, Numerical Analysis, Approximation Methods.
 

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Contents

TAYLORS THEOREM APPROXIMATION
11
INDUCTION PRINCIPLE
21
REAL NUMBER SYSTEM
33
SETS AND FUNCTIONS
49
CONTINUOUS FUNCTIONS I
67
SEQUENCES
73
CONTINUOUS FUNCTIONS
104
INFINITE SERIES
131
DIFFERENTIABLE FUNCTIONS
157
MEAN VALUE THEOREMS
171
NOTE ON PART III
224
RIEMANN INTEGRATION II
301
RIEMANN INTEGRATION III
313
INDEX
338
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