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Compact Textbooks in Mathematics

Lecture Notes in Real Analysis

Authors: WANG, ALEX

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  • Presents graduate-level material in a compact, more intuitive manner
  • Combines elements from two classic Real Analysis textbooks to provide a more concise approach to the material
  • Includes several color illustrations to aid in the explanation of more difficult concepts
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eBook 21,39 €
37,44 € (listprice)
price for Spain (gross)
valid through June 30, 2020
  • ISBN 978-3-319-98956-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 29,11 €
46,79 € (listprice)
price for Spain (gross)
valid through June 30, 2020
  • ISBN 978-3-319-98955-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this Textbook

This compact textbook is a collection of the author’s lecture notes for a two-semester graduate-level real analysis course.  While the material covered is standard, the author’s approach is unique in that it combines elements from both Royden’s and Folland’s classic texts to provide a more concise and intuitive presentation.  Illustrations, examples, and exercises are included that present Lebesgue integrals, measure theory, and topological spaces in an original and more accessible way, making difficult concepts easier for students to understand.  This text can be used as a supplementary resource or for individual study.   

About the authors

Xiaochang Wang is a professor in the Department of Mathematics at Texas Tech University.

Reviews

“The presentation of the chosen material is precise and intuitive. … This concise textbook may be useful for students in their self-learning, and for teachers who prepare systematic lectures on real analysis.” (Marek Balcerzak, Mathematical Reviews, July, 2019)
“The resulting book, that also features several examples and exercise problems to illustrate key concepts, is very clear and pleasant to read. In my opinion, the author fully successes in, using his own words, ‘helping students to see that the Lebesgue measure and integration, and therefore the general measure theory, come naturally from the process of fixing the flaws of Riemann integrals’.” (Emma D’Aniello, zbMATH 1423.26003, 2019)

Table of contents (6 chapters)

Table of contents (6 chapters)
  • Measures

    Pages 1-37

    Wang, Xiaochang

  • Integration

    Pages 39-89

    Wang, Xiaochang

  • Signed Measures and Differentiation

    Pages 91-121

    Wang, Xiaochang

  • Topology: A Generalization of Open Sets

    Pages 123-146

    Wang, Xiaochang

  • Elements of Functional Analysis

    Pages 147-174

    Wang, Xiaochang

Buy this book

eBook 21,39 €
37,44 € (listprice)
price for Spain (gross)
valid through June 30, 2020
  • ISBN 978-3-319-98956-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 29,11 €
46,79 € (listprice)
price for Spain (gross)
valid through June 30, 2020
  • ISBN 978-3-319-98955-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Lecture Notes in Real Analysis
Authors
Series Title
Compact Textbooks in Mathematics
Copyright
2018
Publisher
Birkhäuser Basel
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-319-98956-3
DOI
10.1007/978-3-319-98956-3
Softcover ISBN
978-3-319-98955-6
Series ISSN
2296-4568
Edition Number
1
Number of Pages
XIII, 207
Number of Illustrations
1 b/w illustrations, 22 illustrations in colour
Topics