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Measure and Integration

Authors: Bercovici, Hari, Brown, Arlen, Pearcy, Carl

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  • Axiomatic treatment of Lebesgue integration allows quick access to the main convergence of theorems
  • Includes a brief introduction to Fourier analysis in the Euclidean setting
  • Provides a treatment of standard measure spaces and analytic sets
  • Detailed index provides easy navigation to the main results                                     
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  • ISBN 978-3-319-29046-1
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About this Textbook

This book covers the material of a one year course in real analysis.  It includes an original axiomatic approach to Lebesgue integration which the authors have found to be effective in the classroom.  Each chapter contains numerous examples and an extensive problem set which expands considerably the breadth of the material covered in the text.  Hints are included for some of the more difficult problems.                

About the authors

Hari Bercovici is a Professor in the Department of Mathematics at Indiana University Bloomington.  His research interests include functional analysis, operator theory, and free probability.
Carl Pearcy is an Emeritus Professor in Mathematics at Texas A&M University. His research interest is in functional analysis.                     

Reviews

“The book is a perfect introduction for graduate students into the theory of measure and Lebesgue integration. It is written in a very pedagogical way providing in each chapter many examples and a long collection of problems with a number of hints for the more challenging ones.” (Oscar Blasco, zbMATH 1337.28001, 2016)


                   

Table of contents (11 chapters)

Table of contents (11 chapters)

Buy this book

eBook $59.99
price for USA
  • ISBN 978-3-319-29046-1
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.99
price for USA
  • ISBN 978-3-319-29044-7
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually ready to be dispatched within 3 to 5 business days.
Softcover $74.99
price for USA
  • ISBN 978-3-319-80480-4
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually ready to be dispatched within 3 to 5 business days.

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Bibliographic Information

Bibliographic Information
Book Title
Measure and Integration
Authors
Copyright
2016
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-29046-1
DOI
10.1007/978-3-319-29046-1
Hardcover ISBN
978-3-319-29044-7
Softcover ISBN
978-3-319-80480-4
Edition Number
1
Number of Pages
XI, 300
Topics

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