Basic real analysis : along with a companion volume Advanced real analysis

書誌事項

Basic real analysis : along with a companion volume Advanced real analysis

Anthony W. Knapp

(Cornerstones)

Birkhäuser, c2005

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注記

Includes bibliographical references and index

内容説明・目次

内容説明

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.

目次

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.

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詳細情報

  • NII書誌ID(NCID)
    BA73547362
  • ISBN
    • 0817632506
  • LCCN
    2005048070
  • 出版国コード
    us
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Boston, MA
  • ページ数/冊数
    xxi, 653 p.
  • 大きさ
    25 cm
  • 分類
  • 件名
  • 親書誌ID
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