Basic Real Analysis (Cornerstones 2005 ed.)

Basic Real Analysis (Cornerstones 2005 ed.)

By: Anthony W. Knapp (author)Hardback

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Description

Systematically develop the concepts and tools that are vital to every mathematician, whether pure or applied, aspiring or established A comprehensive treatment with a global view of the subject, emphasizing the connections between real analysis and other branches of mathematics Included throughout are many examples and hundreds of problems, and a separate 55-page section gives hints or complete solutions for most.

Contents

Theory of Calculus in One Real Variable.- Metric Spaces.- Theory of Calculus in Several Real Variables.- Theory of Ordinary Differential Equations and Systems.- Lebesgue Measure and Abstract Measure Theory.- Measure Theory for Euclidean Space.- Differentiation of Lebesgue Integrals on the Line.- Fourier Transform in Euclidean Space.- Lp Spaces.- Topological Spaces.- Integration on Locally Compact Spaces.- Hilbert and Banach Spaces.

Product Details

  • ISBN13: 9780817632502
  • Format: Hardback
  • Number Of Pages: 656
  • ID: 9780817632502
  • weight: 2490
  • ISBN10: 0817632506
  • edition: 2005 ed.

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