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Ein Kurs in Realanalyse von John McDonald und Neil Weiss✨2. Auflage

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Book Title
A Course in Real Analysis
Narrative Type
Probability & Statistics
Genre
N/A
Topic
Probability & Statistics
Intended Audience
N/A
ISBN
9780123877741

Über dieses Produkt

Product Identifiers

Publisher
Elsevier Science & Technology
ISBN-10
0123877741
ISBN-13
9780123877741
eBay Product ID (ePID)
102917091

Product Key Features

Number of Pages
688 Pages
Language
English
Publication Name
Course in Real Analysis
Publication Year
2012
Subject
Mathematical Analysis
Type
Textbook
Subject Area
Mathematics
Author
John N. McDonald, Neil A. Weiss
Format
Hardcover

Dimensions

Item Length
9.2 in
Item Width
7.5 in

Additional Product Features

Edition Number
2
Intended Audience
College Audience
LCCN
2011-037823
TitleLeading
A
Dewey Edition
21
Reviews
"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, "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, "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, "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
Illustrated
Yes
Dewey Decimal
515
Table Of Content
1. Set Theory2. The Real Number System and Calculus3. Lebesgue Measure on the Real Line4. The Lebesgue Integral on the Real Line5. Elements of Measure Theory6. Extensions to Measures and Product Measure7. Elements of Probability8. Differentiation and Absolute Continuity9. Signed and Complex Measures10. Topologies, Metrics, and Norms11. Separability and Compactness12. Complete and Compact Spaces13. Hilbert Spaces and Banach Spaces14. Normed Spaces and Locally Convex Spaces15. Elements of Harmonic Analysis16. Measurable Dynamical Systems17. Hausdorff Measure and Fractals
Synopsis
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., 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
LC Classification Number
QA300.M38 2012

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