Real Analysis /

This textbook is designed for a year-long course in real analysis taken by beginning graduate and advanced undergraduate students in mathematics and other areas such as statistics, engineering, and economics. Written by one of the leading scholars in the field, it elegantly explores the core concept...

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Bibliographic Details
Main Author: Loeb, Peter A (Author, http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Format: Book
Language:English
Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2016
Edition:1st ed. 2016
Subjects:
Table of Contents:
  • Preface
  • Set Theory and Numbers
  • Measure on the Real Line
  • Measurable Functions
  • Integration
  • Differentiation and Integration
  • General Measure Spaces
  • Introduction to Metric and Normed Spaces
  • Hilbert Spaces
  • Topological Spaces
  • Measure Construction
  • Banach Spaces
  • Appendices
  • References.