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Fundamentals of Real Analysis /

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Integration theory and general topology form the core of this textbook for a first-year graduate course in real analysis. After the foundational material in the first chapter (construction of the reals, cardinal and ordinal numbers, Zorn's lemma and transfinite induction), measure, integral and...

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Bibliographic Details
Main Author: Berberian, Sterling K.
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: New York, NY : Springer New York, 1999.
Series:Universitext,
Subjects:
Mathematics.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Foundations
  • Lebesgue Measure
  • Topology
  • Lebesgue Integral
  • Differentiation
  • Function Spaces
  • Product Measure
  • The Differential Equation y'= f(x, y)
  • Topics in Measure and Integration.