A Course in Real Analysis - Hardcover

McDonald, John N.; Weiss, Neil A.

Hardcover

ISBN 10: 0127428305 ISBN 13: 9780127428307

Publisher: Academic Press, 1999

Synopsis

A Course in Real Analysis provides a firm foundation in real analysis concepts and principles while presenting a broad range of topics in a clear and concise manner. This student-oriented text balances theory and applications, and contains a wealth of examples and exercises. Throughout the text, the authors adhere to the idea that most students learn more efficiently by progressing from the concrete to the abstract. McDonald and Weiss have also created real application chapters on probability theory, harmonic analysis, and dynamical systems theory. The text offers considerable flexibility in the choice of material to cover.

* Motivation of Key Concepts: The importance of and rationale behind key ideas are made transparent
* Illustrative Examples: Roughly 200 examples are presented to illustrate definitions and results
* Abundant and Varied Exercises: Over 1200 exercises are provided to promote understanding
* Biographies: Each chapter begins with a brief biography of a famous mathematician

About this title

Review

"The second edition of A Course in Real Analysis provides a solid foundation of real analysis concepts and principles, presenting a broad range of topics in a clear and concise manner. The book is excellent at balancing theory and applications with a wealth of examples and exercises. The authors take a progressive approach of skill building to help students learn to absorb the abstract."--Zentralblatt MATH 2012-1239-26003 "This is a beautifully written text. There is an excellent choice of topics and results, topics are well motivated, proofs are precise and very readable, and there are lots of meaningful examples and useful exercises."--Bruce A. Barnes, University of Oregon "This text provides the 'between the lines' insight that many students need. The greatest strengths of the text are the order of topics, the inclusion of all major ideas of the theory, the easy readability, and the strong motivation and tight organization of topics."--Dennis D. Berkey, Boston University "The authors' exposition is extremely clear. There is literary quality in the writing that is rare in mathematics texts. It is a pleasure to read this text."--Peter L. Duren, University of Michigan

From the Back Cover

A Course in Real Analysis offers more for the student, incorporating sound pedagogical techniques and a breadth of examples and exercises. Professors McDonald and Weiss have written an inspiring text in a contemporary style suitable for graduate or advanced undergraduate course work.
The authors present the elements of measure and integration by first discussing the Lebesgue theory on the line and then the abstract theory. Other chapters include probability theory, differentiation, topological and metric spaces, approximation, and Hilbert, Banach, and locally convex spaces. Application chapters examine harmonic analysis and measurable dynamical systems.
A Course in Real Analysis includes:
* Motivation of Key Concepts--The importance of and rationale behind key ideas are made transparent.
* Illustrative Examples--Roughly 200 examples are presented to illustrate definitions and results.
* Abundant and Varied Exercises--Over 1200 exercises are provided to promote understanding.
* Biographies--Each chapter begins with a brief biography of a famous mathematician.
"This is a beautifully written text. There is an excellent choice of topics and results, topics are well motivated, proofs are precise and very readable, and there are lots of meaningful examples and useful exercises."
--Bruce A. Barnes, University of Oregon
"This text provides the 'between the lines' insight that many students need. The greatest strengths of the text are the order of topics, the inclusion of all major ideas of the theory, the easy readability, and the strong motivation and tight organization of topics.
--Dennis D. Berkey, Boston University
"The authors' exposition is extremely clear. There is literary quality in the writing that is rare in mathematics texts. It is a pleasure to read this text."
--Peter L. Duren, University of Michigan|A Course in Real Analysis offers more for the student, incorporating sound pedagogical techniques and a breadth of examples and exercises. Professors McDonald and Weiss have written an inspiring text in a contemporary style suitable for graduate or advanced undergraduate course work.
The authors present the elements of measure and integration by first discussing the Lebesgue theory on the line and then the abstract theory. Other chapters include probability theory, differentiation, topological and metric spaces, approximation, and Hilbert, Banach, and locally convex spaces. Application chapters examine harmonic analysis and measurable dynamical systems.
A Course in Real Analysis includes:
* Motivation of Key Concepts--The importance of and rationale behind key ideas are made transparent.
* Illustrative Examples--Roughly 200 examples are presented to illustrate definitions and results.
* Abundant and Varied Exercises--Over 1200 exercises are provided to promote understanding.
* Biographies--Each chapter begins with a brief biography of a famous mathematician.
"This is a beautifully written text. There is an excellent choice of topics and results, topics are well motivated, proofs are precise and very readable, and there are lots of meaningful examples and useful exercises."
--Bruce A. Barnes, University of Oregon
"This text provides the 'between the lines' insight that many students need. The greatest strengths of the text are the order of topics, the inclusion of all major ideas of the theory, the easy readability, and the strong motivation and tight organization of topics.
--Dennis D. Berkey, Boston University
"The authors' exposition is extremely clear. There is literary quality in the writing that is rare in mathematics texts. It is a pleasure to read this text."
--Peter L. Duren, University of Michigan

Edition details

• Publisher: Academic Press
• Publication date: 1999
• ISBN 10: 0127428305
• ISBN 13: 9780127428307
• Binding: Hardcover
• Language: English
• Number of pages: 768