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Analysis : An Introduction by Richard Beals (2004, Trade Paperback)

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About this product

Product Identifiers

PublisherCambridge University Press

ISBN-100521600472

ISBN-139780521600477

eBay Product ID (ePID)30238207

Product Key Features

Number of Pages272 Pages

LanguageEnglish

Publication NameAnalysis : an Introduction

SubjectProbability & Statistics / General, Mathematical Analysis

Publication Year2004

TypeTextbook

Subject AreaMathematics

AuthorRichard Beals

FormatTrade Paperback

Dimensions

Item Height0.7 in

Item Weight17.3 Oz

Item Length9.9 in

Item Width7 in

Additional Product Features

Intended AudienceCollege Audience

LCCN2004-040687

Dewey Edition22

Reviews'The self-contained text, suitable for advanced undergraduates, provides an extensive introduction into mathematical analysis, from the fundamentals to more advanced material.' Zentralblatt fur Didaktik der Mathematik, "Analysis: An Introduction is most appropriate for a undergraduate who has already grappled with the main ideas from real analysis, and who is looking for a succinct, well-written treatise that connects these concepts to some of their most powerful applications. Beals' book has the potential to serve this audience very well indeed." MAA Reviews, Christopher Hammond, Connecticut College

IllustratedYes

Dewey Decimal515

Table Of Content1. Introduction; 2. The real and complex numbers; 3. Real and complex sequences; 4. Series; 5. Power series; 6. Metric spaces; 7. Continuous functions; 8. Calculus; 9. Some special functions; 10. Lebesgue measure on the line; 11. Lebesgue integration on the line; 12. Function spaces; 13. Fourier series; 14. Applications of Fourier series; 15. Ordinary differential equations; Appendix: the Banach-Tarski paradox; Hints for some exercises.

SynopsisThis book is a text on mathematical analysis suitable for graduate students and advanced undergraduates. It provides an extensive introduction to proof and to rigorous mathematical thinking. It contains many remarks and examples and 500 exercises designed to provide motivation, test understanding, help practice mathematical writing and explore additional topics., This self-contained text, suitable for advanced undergraduates, provides an extensive introduction to mathematical analysis, from the fundamentals to more advanced material. It begins with the properties of the real numbers and continues with a rigorous treatment of sequences, series, metric spaces, and calculus in one variable. Further subjects include Lebesgue measure and integration on the line, Fourier analysis, and differential equations. In addition to this core material, the book includes a number of interesting applications of the subject matter to areas both within and outside the field of mathematics. The aim throughout is to strike a balance between being too austere or too sketchy, and being so detailed as to obscure the essential ideas. A large number of examples and 500 exercises allow the reader to test understanding, practise mathematical exposition and provide a window into further topics.

LC Classification NumberQA300.B4124 2004