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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
Includes supplementary material: sn.pub/extras
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Table of contents (11 chapters)
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Front Matter
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Back Matter
About this book
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.
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Authors and Affiliations
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Department of Mathematics, Indiana University, Bloomington, USA
Hari Bercovici, Arlen Brown
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Department of Mathematics, Texas A&M University, College Station, USA
Carl Pearcy
About the authors
Carl Pearcy is an Emeritus Professor in Mathematics at Texas A&M University. His research interest is in functional analysis.
Bibliographic Information
Book Title: Measure and Integration
Authors: Hari Bercovici, Arlen Brown, Carl Pearcy
DOI: https://doi.org/10.1007/978-3-319-29046-1
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Hardcover ISBN: 978-3-319-29044-7Published: 04 April 2016
Softcover ISBN: 978-3-319-80480-4Published: 25 April 2018
eBook ISBN: 978-3-319-29046-1Published: 17 March 2016
Edition Number: 1
Number of Pages: XI, 300
Topics: Measure and Integration, Real Functions