Real Anaysis Books

[Dr. Analysis]

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Real Analysis
By N. L. Carothers, N.L. Carothers



Publisher: Cambridge University Press
Number Of Pages: 416
Publication Date: 1999-05-01
ISBN-10 / ASIN: 0521497566
ISBN-13 / EAN: 9780521497565

Product Description:

This course in real analysis is directed at advanced undergraduates and beginning graduate students in mathematics and related fields. Presupposing only a modest background in real analysis or advanced calculus, the book offers something of value to specialists and nonspecialists alike. The text covers three major topics: metric and normed linear spaces, function spaces, and Lebesgue measure and integration on the line. In an informal, down-to-earth style, the author gives motivation and overview of new ideas, while still supplying full details and complete proofs. He provides a great many exercises and suggestions for further study.

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Problems in Real Analysis: A Workbook with Solutions
By Charalambos D. Aliprantis, Owen Burkinshaw



Publisher: Academic Press
Number Of Pages: 403
Publication Date: 1999-01-15
ISBN-10 / ASIN: 0120502534
ISBN-13 / EAN: 9780120502530
Binding: Hardcover


Product Description:
A collection of problems and solutions in real analysis based on the major textbook, Principles of Real Analysis (also by Aliprantis and Burkinshaw), Problems in Real Analysis is the ideal companion for senior science and engineering undergraduates and first-year graduate courses in real analysis. It is intended for use as an independent source, and is an invaluable tool for students who wish to develop a deep understanding and proficiency in the use of integration methods.
Problems in Real Analysis teaches the basic methods of proof and problem-solving by presenting the complete solutions to over 600 problems that appear in Principles of Real Analysis, Third Edition. The problems are distributed in forty sections, and cover the entire spectrum of difficulty

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Advanced Real Analysis
By Anthony W. Knapp


Publisher: Birkhäuser Boston
Number Of Pages: 468
Publication Date: 2005-07-27
ISBN-10 / ASIN: 0817643826
ISBN-13 / EAN: 9780817643829
Binding: Hardcover

Product Description:

Advanced Real Analysis systematically develops those concepts and tools in real analysis that are vital to every mathematician, whether pure or applied, aspiring or established. Along with a companion volume Basic Real Analysis (available separately or together as a Set via the Related Links nearby), these works present a comprehensive treatment with a global view of the subject, emphasizing the connections between real analysis and other branches of mathematics.


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[Dr. Analysis]

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Problems and Solutions for Undergraduate Analysis (Undergraduate Texts in Mathematics)
By Rami Shakarchi, Serge Lang


Publisher: Springer
Number Of Pages: 368
Publication Date: 1997-12-19
ISBN-10 / ASIN: 0387982353
ISBN-13 / EAN: 9780387982359
Binding: Paperback


Book Description:

This volume contains all the exercises and their solutions for Lang's second edition of UNDERGRADUATE ANALYSIS. The wide variety of exercises, which range from computational to more conceptual and which are of varying difficulty, cover the following subjects and more: real numbers, limits, continuous functions, differentiation and elementary integration, normed vector spaces, compactness, series, integration in one variable, improper integrals, convolutions, Fourier series and the Fourier integral, functions in n-space, derivatives in vector spaces, inverse and implicit mapping theorem, ordinary differential equations, multiple integrals and differential forms. This volume also serves as an independent source of problems with detailed answers beneficial for anyone interested in learning analysis. Intermediary steps and original drawings provided by the author assists students in their mastery of problem solving techniques and increases their overall comprehension of the subject matter.



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The Elements of Real Analysis
by Robert Bartle


Publisher: John Wiley Sons
Number Of Pages: 447
Publication Date: 1964-01-01
ISBN-10 / ASIN: 0471054623
ISBN-13 / EAN: 9780471054627
Binding: Hardcover


Description:
Presents the basic theory of real analysis. The algebraic and order properties of the real number system are presented in a simpler fashion than in the previous edition


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By Anthony W. Knapp
Publisher: Birkhäuser Boston
Number Of Pages: 650
Publication Date: 2005-07-29
Sales Rank: 759179
ISBN / ASIN: 0817632506
EAN: 9780817632502
Binding: Hardcover
Manufacturer: Birkhäuser Boston
Studio: Birkhäuser Boston
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Book Description:
Basic Real Analysis systematically develops those concepts and tools in real analysis that are vital to every mathematician, whether pure or applied, aspiring or established. Along with a companion volume Advanced Real Analysis (available separately or together as a Set via the Related Links nearby), these works present a comprehensive treatment with a global view of the subject, emphasizing the connections between real analysis and other branches of mathematics.


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