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Lecture Notes in Real Analysis

  • Xiaochang Wang

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

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Xiaochang Wang
    Pages 1-37
  3. Xiaochang Wang
    Pages 39-89
  4. Xiaochang Wang
    Pages 91-121
  5. Xiaochang Wang
    Pages 123-146
  6. Xiaochang Wang
    Pages 147-174
  7. Xiaochang Wang
    Pages 175-204
  8. Back Matter
    Pages 205-207

About this book

Introduction

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.   

Keywords

Lebesgue integral Real Analysis Measure Theory Functional Analysis Topological Spaces

Authors and affiliations

  • Xiaochang Wang
    • 1
  1. 1.Math & StatsTexas Tech UniversityLubbockUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-98956-3
  • Copyright Information Springer Nature Switzerland AG 2018
  • Publisher Name Birkhäuser, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-98955-6
  • Online ISBN 978-3-319-98956-3
  • Series Print ISSN 2296-4568
  • Series Online ISSN 2296-455X
  • Buy this book on publisher's site