Mathematical Analysis and Applications: An Introduction

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Alpha Science Int'l Ltd., Jan 1, 2004 - Mathematics - 341 pages
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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

RATIONAL NUMBERS
5
INDUCTION PRINCIPLE
19
REAL NUMBER SYSTEM
33
SETS AND FUNCTIONS
49
SEQUENCES
69
CONTINUOUS FUNCTIONS I
89
CONTINUOUS FUNCTIONS II
107
INFINITE SERIES
131
TAYLORS THEOREM APPROXIMATION
189
POWER SERIES MAPS
205
DIFFERENTIAL EQUATIONS I
231
DIFFERENTIAL EQUATIONS II
251
RIEMANN INTEGRATION I
277
RIEMANN INTEGRATION II
301
RIEMANN INTEGRATION III
313
INDEX
338

DIFFERENTIABLE FUNCTIONS
157
MEAN VALUE THEOREMS
171

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