Examples and Theorems in Analysis

Peter Walker

287 pages, parution le 31/12/2003

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Résumé

Examples and Theorems in Analysis takes a unique and very practical approach to mathematical analysis. It makes the subject more accessible by giving the examples equal status with the theorems. The results are introduced and motivated by reference to examples which illustrate their use, and further examples then show how far the assumptions may be relaxed before the result fails.

A number of applications show what the subject is about and what can be done with it; the applications in Fourier theory, distributions and asymptotics show how the results may be put to use. Exercises at the end of each chapter, of varying levels of difficulty, develop new ideas and present open problems.

Written primarily for first- and second-year undergraduates in mathematics, this book features a host of diverse and interesting examples, making it an entertaining and stimulating companion that will also be accessible to students of statistics, computer science and engineering, as well as to professionals in these fields.

Written for:
Undergraduate students of mathematics; students and researchers in mathematics, statistics, computer science and engineering

Sommaire

Preface
Sequences
Functions and Continuity
Differentiation
Constructive Integration
Improper Integrals
Series
Applications
Appendix A: Fubini's Theorem
Appendix B: Hints and Solutions for Exercises
References
Index

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Peter Walker
Parution	31/12/2003
Nb. de pages	287
Format	17,5 x 23,5
Couverture	Broché
Poids	600g
Intérieur	Noir et Blanc
EAN13	9781852334932
ISBN13	978-1-85233-493-2