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Measure and Integral

  • Martin Brokate
  • Götz Kersting

Part of the Compact Textbooks in Mathematics book series (CTM)

Table of contents

  1. Front Matter
    Pages i-vii
  2. Martin Brokate, Götz Kersting
    Pages 1-6
  3. Martin Brokate, Götz Kersting
    Pages 7-17
  4. Martin Brokate, Götz Kersting
    Pages 19-27
  5. Martin Brokate, Götz Kersting
    Pages 29-39
  6. Martin Brokate, Götz Kersting
    Pages 41-52
  7. Martin Brokate, Götz Kersting
    Pages 53-62
  8. Martin Brokate, Götz Kersting
    Pages 63-71
  9. Martin Brokate, Götz Kersting
    Pages 73-86
  10. Martin Brokate, Götz Kersting
    Pages 87-107
  11. Martin Brokate, Götz Kersting
    Pages 109-115
  12. Martin Brokate, Götz Kersting
    Pages 117-135
  13. Martin Brokate, Götz Kersting
    Pages 137-152
  14. Martin Brokate, Götz Kersting
    Pages 153-167
  15. Back Matter
    Pages 169-172

About this book

Introduction

The Lebesgue integral is an essential tool in the fields of analysis and stochastics and for this reason, in many areas where mathematics is applied. This textbook is a concise, lecture-tested introduction to measure and integration theory. It addresses the important topics of this theory and presents additional results which establish connections to other areas of mathematics. The arrangement of the material should allow the adoption of this textbook in differently composed Bachelor programmes.

Keywords

Hilbert space Lebesgue integral integration theory measure theory

Authors and affiliations

  • Martin Brokate
    • 1
  • Götz Kersting
    • 2
  1. 1.TU MünchenGarchingGermany
  2. 2.Institut für MathematikGoethe-Universität FrankfurtFrankfurt am MainGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-15365-0
  • Copyright Information Springer International Publishing Switzerland 2015
  • Publisher Name Birkhäuser, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-15364-3
  • Online ISBN 978-3-319-15365-0
  • Series Print ISSN 2296-4568
  • Series Online ISSN 2296-455X
  • Buy this book on publisher's site
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