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Real Analysis / by Emmanuele DiBenedetto.

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The focus of this modern graduate text in real analysis is to prepare the potential researcher to a rigorous "way of thinking" in applied mathematics and partial differential equations. The book will provide excellent foundations and serve as a solid building block for research in analysis...

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Bibliographic Details
Online Access: Full Text (via Springer)
Main Author: DiBenedetto, Emmanuele
Format: eBook
Language:English
Published: Boston, MA : Birkhäuser Boston : Imprint : Birkhäuser, 2002.
Series:Birkhäuser Advanced Texts, Basler Lehrbücher.
Subjects:
Mathematics.
Global analysis (Mathematics)
Differential equations, Partial.
Table of Contents:
  • Preliminaries
  • I Topologies and Metric Spaces
  • II Measuring Sets
  • III The Lebesgue Integral
  • IV Topics on Measurable Functions of Real Variables
  • V The Lp(E) Spaces
  • VI Banach Spaces
  • VII Spaces of Continuous Functions, Distributions, and Weak Derivatives
  • VIII Topics on Integrable Functions of Real Variables
  • IX Embeddings of W1,p (E) into Lq (E)
  • References.

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