Harmonic Analysis and Hypergroups

Harmonic Analysis and Hypergroups

by Ken Ross (Editor)

Paperback(Softcover reprint of the original 1st ed. 1998)

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Product Details

ISBN-13: 9781489901583
Publisher: Birkh�user Boston
Publication date: 06/29/2013
Series: Trends in Mathematics
Edition description: Softcover reprint of the original 1st ed. 1998
Pages: 249
Product dimensions: 6.10(w) x 9.25(h) x 0.02(d)

Table of Contents

ContentsPreface 1 Introduction 1 The Set N of Natural Numbers 2 The Set Q of Rational Numbers 3 The Set R of Real Numbers 4 The Completeness Axiom 5 The Symbols + and - 6
• A Development of R
2 Sequences 7 Limits of Sequences 8 A Discussion about Proofs 9 Limit Theorems for Sequences 10 Monotone Sequences and Cauchy Sequences 11 Subsequences 12 limsup's and liminf's 13
• Some Topological Concepts in Metric Spaces 14 Series 15 Alternating Series and Integral Tests 16
• Decimal Expansions of Real Numbers
3 Continuity 17 Continuous Functions 18 Properties of Continuous Functions 19 Uniform Continuity 20 Limits of Functions 21
• More on Metric Spaces: Continuity 22
• More on Metric Spaces: Connectedness
4 Sequences and Series of Functions 23 Power Series 24 Uniform Convergence 25 More on Uniform Convergence 26 Differentiation and Integration of Power Series 27
• Weierstrass's Approximation Theorem
5 Differentiation 28 Basic Properties of the Derivative 29 The Mean Value Theorem 30
• L'Hospital's Rule 31 Taylor's Theorem
6 Integr ation 32 The Riemann Integral 33 Properties of the Riemann Integral 34 Fundamental Theorem of Calculus 35
• Riemann-Stieltjes Integrals 36
• Improper Integrals 37
• A Discussion of Exponents and Logarithms Appendix on Set Notation Selected Hints and Answers References Index

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