- 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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- About this Textbook
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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
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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
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“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)
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Rings of sets
Pages 1-18
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Measurability
Pages 19-42
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Integrals and measures
Pages 43-73
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Convergence theorems for Lebesgue integrals
Pages 75-104
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Existence and uniqueness of measures
Pages 105-132
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Table of contents (11 chapters)
- Download Preface 1 PDF (49.2 KB)
- Download Sample pages 1 PDF (346.8 KB)
- Download Table of contents PDF (17.6 KB)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Measure and Integration
- Authors
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- Hari Bercovici
- Arlen Brown
- Carl Pearcy
- 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
