Neil Weiss A Course in Real Analysis

ISBN 13: 9780123877741

A Course in Real Analysis

4 avg rating
( 3 ratings by Goodreads )
 
9780123877741: A Course in Real Analysis
View all copies of this ISBN edition:
 
 

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. Real world applications, probability theory, harmonic analysis, and dynamical systems theory are included, offering considerable flexibility in the choice of material to cover in the classroom. The accessible exposition not only helps students master real analysis, but also makes the book useful as a reference.



  • New chapter on Hausdorff Measure and Fractals
  • Key concepts and learning objectives give students a deeper understanding of the material to enhance learning
  • More than 200 examples (not including parts) are used to illustrate definitions and results
  • Over 1300 exercises (not including parts) are provided to promote understanding
  • Each chapter begins with a brief biography of a famous mathematician

"synopsis" may belong to another edition of this title.

Review:

"...truly marvelous...weaves an interesting, lively, and crystal clear sequence of ideas comprising the heart of modern analysis. The order of presentation is so carefully chosen and the exposition is so masterful as to possess the traits of a literary art form." --MAA Reviews, January 2015

"The exposition is very clear and unhurried and the book would be useful both as a text and a book for self-study. The last chapters go beyond what is usually covered in analysis courses and this is all to the good." --Sigurdur Helgason, MIT

"There is a literary quality in the writing that is rare in mathematics texts. It is a pleasure to read this book. The exercises are a strong feature of the book and the examples are well chosen and plentiful." --Peter Duren, University of Michigan

"The outstanding features of the book are the wealth of examples and exercises, the interesting biographical data, and the introduction to wavelets and dynamical systems." --Duong H. Phong, Columbia University

"McDonald and Weiss have crafted a treasure chest of exercises in real analysis. Just an amazing and broad collection. Students and researchers will surely benefit from the enormous amount of superb exercises." --Enno Lenzmann, University of Copenhagen

"I was very impressed by the motivating discussions of a number of difficult concepts, along with their fresh approach to the details following. Their general philosophy of starting with concrete ideas, and slowly abstracting, worked well in communicating even the most difficult concepts in the course." --Todd Kemp, University of California, San Diego

From the Back Cover:

Now in its second edition, A Course in Real Analysis provides students with a modern, engaging, and thorough treatment of real analysis. Graduate and advanced undergraduate students, instructors, and researchers will appreciate the motivation of key concepts and wealth of examples, exercises, and applications offered in this book.

Professors McDonald and Weiss present the elements of measure and integration by first discussing the Lebesgue theory on the line and then the abstract theory. They go on to discuss elements of probability theory, differentiation and absolute continuity, signed and complex measures, and topological, metric, and normed spaces. The book concludes with valuable application chapters on harmonic analysis and measurable dynamical systems—as well as a brand new chapter on Hausdorff measure and fractals.

Key features:

  • Motivation of key concepts—the significance and rationale of main ideas are underscored throughout the text.
  • Detailed theoretical discussion—proofs of most results are provided, while some are assigned as exercises to fully engage the reader.
  • Illustrative examples and abundant exercises—roughly 200 examples and over 1300 widely varied exercises solidify understanding.
  • Diverse applications—these appear throughout as examples and as entire sections or chapters, such as the applications to probability theory that pervade the text.
  • Biographies—each chapter begins with a brief biography of a famous mathematician.
|

Now in its second edition, A Course in Real Analysis provides students with a modern, engaging, and thorough treatment of real analysis. Graduate and advanced undergraduate students, instructors, and researchers will appreciate the motivation of key concepts and wealth of examples, exercises, and applications offered in this book.

Professors McDonald and Weiss present the elements of measure and integration by first discussing the Lebesgue theory on the line and then the abstract theory. They go on to discuss elements of probability theory, differentiation and absolute continuity, signed and complex measures, and topological, metric, and normed spaces. The book concludes with valuable application chapters on harmonic analysis and measurable dynamical systems—as well as a brand new chapter on Hausdorff measure and fractals.

Key features:

  • Motivation of key concepts—the significance and rationale of main ideas are underscored throughout the text.
  • Detailed theoretical discussion—proofs of most results are provided, while some are assigned as exercises to fully engage the reader.
  • Illustrative examples and abundant exercises—roughly 200 examples and over 1300 widely varied exercises solidify understanding.
  • Diverse applications—these appear throughout as examples and as entire sections or chapters, such as the applications to probability theory that pervade the text.
  • Biographies—each chapter begins with a brief biography of a famous mathematician.

"About this title" may belong to another edition of this title.

Top Search Results from the AbeBooks Marketplace

Stock Image

1.

MCDONALD
ISBN 10: 0123877741 ISBN 13: 9780123877741
New Softcover Quantity Available: 6
Seller:
MK Traders
(Ghaziabad, India)

Book Description Softcover. Condition: Brand New. Brand New,Softcover,Cover & ISBN may be different from US edition. But Contents are same as US Edition. Printed in English Language, We may ship the books form UPS, DHL & Fedex. NO CD AND ACCESS CODE. We do not ship PO Box, APO, FPO address. Satisfaction Guaranteed. Seller Inventory # NEADY3396

More information about this seller | Contact this seller

Buy New
17.08
Convert currency

Add to Basket

Shipping: FREE
From India to U.S.A.
Destination, rates & speeds
Stock Image

2.

John N. McDonald, Neil A. Weiss
Published by Elsevier Science Publishing Co Inc, United States (2012)
ISBN 10: 0123877741 ISBN 13: 9780123877741
New Hardcover Quantity Available: 1
Seller:
The Book Depository
(London, United Kingdom)

Book Description Elsevier Science Publishing Co Inc, United States, 2012. Hardback. Condition: New. 2nd edition. Language: English. Brand new Book. 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. Real world applications, probability theory, harmonic analysis, and dynamical systems theory are included, offering considerable flexibility in the choice of material to cover in the classroom. The accessible exposition not only helps students master real analysis, but also makes the book useful as a reference. Seller Inventory # AA59780123877741

More information about this seller | Contact this seller

Buy New
50.70
Convert currency

Add to Basket

Shipping: FREE
From United Kingdom to U.S.A.
Destination, rates & speeds
Stock Image

3.

John N. McDonald, Neil A. Weiss
Published by Elsevier Science Publishing Co Inc, United States (2012)
ISBN 10: 0123877741 ISBN 13: 9780123877741
New Hardcover Quantity Available: 1
Seller:
Book Depository International
(London, United Kingdom)

Book Description Elsevier Science Publishing Co Inc, United States, 2012. Hardback. Condition: New. 2nd edition. Language: English. Brand new Book. 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. Real world applications, probability theory, harmonic analysis, and dynamical systems theory are included, offering considerable flexibility in the choice of material to cover in the classroom. The accessible exposition not only helps students master real analysis, but also makes the book useful as a reference. Seller Inventory # AA59780123877741

More information about this seller | Contact this seller

Buy New
52.20
Convert currency

Add to Basket

Shipping: FREE
From United Kingdom to U.S.A.
Destination, rates & speeds
Stock Image

4.

John N. McDonald
Published by Academic Press (2012)
ISBN 10: 0123877741 ISBN 13: 9780123877741
New Quantity Available: 3
Seller:
Paperbackshop-US
(Wood Dale, IL, U.S.A.)

Book Description Academic Press, 2012. HRD. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # GB-9780123877741

More information about this seller | Contact this seller

Buy New
56.39
Convert currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, rates & speeds
Stock Image

5.

John N. McDonald
Published by Academic Press (2012)
ISBN 10: 0123877741 ISBN 13: 9780123877741
New Quantity Available: 3
Seller:
Books2Anywhere
(Fairford, GLOS, United Kingdom)

Book Description Academic Press, 2012. HRD. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # GB-9780123877741

More information about this seller | Contact this seller

Buy New
52.13
Convert currency

Add to Basket

Shipping: 5
From United Kingdom to U.S.A.
Destination, rates & speeds
Stock Image

6.

McDonald, John N.; Weiss, Neil A.
Published by Academic Press
ISBN 10: 0123877741 ISBN 13: 9780123877741
New Hardcover Quantity Available: 3
Seller:
Your Satisfaction Guaranteed
(Brattleboro, VT, U.S.A.)

Book Description Academic Press. Hardcover. Condition: New. 0123877741 Brand new, in stock, ships quickly! 100% Satisfaction guaranteed. Seller Inventory # ES9780123877741NW

More information about this seller | Contact this seller

Buy New
55.40
Convert currency

Add to Basket

Shipping: 3.02
Within U.S.A.
Destination, rates & speeds
Stock Image

7.

Weiss, Neil A.;mcdonald, John; Mcdonald, John; Weiss, Neil A.
ISBN 10: 0123877741 ISBN 13: 9780123877741
New Quantity Available: 3
Seller:
GreatBookPrices
(Columbia, MD, U.S.A.)

Book Description Condition: New. Seller Inventory # 13400866-n

More information about this seller | Contact this seller

Buy New
56.44
Convert currency

Add to Basket

Shipping: 2
Within U.S.A.
Destination, rates & speeds
Stock Image

8.

John N. McDonald, Neil A. Weiss
Published by Academic Press 2012-02-23 (2012)
ISBN 10: 0123877741 ISBN 13: 9780123877741
New Hardcover Quantity Available: 20
Seller:
Chiron Media
(Wallingford, United Kingdom)

Book Description Academic Press 2012-02-23, 2012. Hardcover. Condition: New. Seller Inventory # NU-ELSPD-00004303

More information about this seller | Contact this seller

Buy New
50.20
Convert currency

Add to Basket

Shipping: 9.32
From United Kingdom to U.S.A.
Destination, rates & speeds
Stock Image

9.

Neil Weiss
ISBN 10: 0123877741 ISBN 13: 9780123877741
New Quantity Available: 3
Seller:
Speedy Hen LLC
(Sunrise, FL, U.S.A.)

Book Description Condition: New. Bookseller Inventory # ST0123877741. Seller Inventory # ST0123877741

More information about this seller | Contact this seller

Buy New
64.21
Convert currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, rates & speeds
Stock Image

10.

John N. McDonald,Neil A. Weiss
Published by Academic Press 2012-02-23 (2012)
ISBN 10: 0123877741 ISBN 13: 9780123877741
New Quantity Available: 3
Seller:
Chiron Media
(Wallingford, United Kingdom)

Book Description Academic Press 2012-02-23, 2012. Condition: New. Brand new book, sourced directly from publisher. Dispatch time is 24-48 hours from our warehouse. Book will be sent in robust, secure packaging to ensure it reaches you securely. Seller Inventory # NU-GRD-04824671

More information about this seller | Contact this seller

Buy New
55.78
Convert currency

Add to Basket

Shipping: 9.32
From United Kingdom to U.S.A.
Destination, rates & speeds

There are more copies of this book

View all search results for this book