ISBN-10:
9812779493
ISBN-13:
9789812779496
Pub. Date:
12/01/2007
Publisher:
World Scientific Publishing Company, Incorporated
Problems and Solutions in Real Analysis

Problems and Solutions in Real Analysis

by Masayoshi Hata
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Product Details

ISBN-13: 9789812779496
Publisher: World Scientific Publishing Company, Incorporated
Publication date: 12/01/2007
Series: Series On Number Theory And Its Applications Series , #4
Pages: 292
Product dimensions: 6.23(w) x 9.00(h) x 0.71(d)

Table of Contents

Preface     v
Sequences and Limits     1
Solutions     5
Infinite Series     15
Solutions     20
Continuous Functions     31
Solutions     35
Differentiation     43
Solutions     49
Integration     59
Solutions     66
Improper Integrals     77
Solutions     81
Series of Functions     93
Solutions     100
Approximation by Polynomials     113
Solutions     117
Convex Functions     125
Solutions     129
Various proofs of [xi](2) = [pi superscript 2]/6     139
Solutions     146
Functions of Several Variables     157
Solutions     161
Uniform Distribution     171
Solutions     174
Rademacher Functions     181
Solutions     185
Legendre Polynomials     191
Solutions     195
Chebyshev Polynomials     205
Solutions     209
Gamma Function     219
Solutions     225
Prime Number Theorem     239
Solutions     245
Miscellanies     257
Solutions     263
Bibliography     273
Index     285

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