Symmetric Properties of Real Functions

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CRC Press, Jun 10, 1994 - Mathematics - 472 pages
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This work offers detailed coverage of every important aspect of symmetric structures in function of a single real variable, providing a historical perspective, proofs and useful methods for addressing problems. It provides assistance for real analysis problems involving symmetric derivatives, symmetric continuity and local symmetric structure of sets or functions.
 

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Contents

Preface
1
CONTINUITY
23
COVERING THEOREMS
63
EVEN PROPERTIES
111
MONOTONICITY
183
ODD PROPERTIES
213
THE SYMMETRIC DERIVATIVE
249
SYMMETRIC VARIATION
293
SYMMETRIC INTEGRALS
323
APPENDIX
403
PROBLEMS
421
References
427
Index
441
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