書誌事項

Real and convex analysis

Erhan Çınlar, Robert J. Vanderbei

(Undergraduate texts in mathematics)

Springer, 2013

  • : pbk

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注記

Includes bibliographical references (p. 157) and index

"Softcover re-print of the Hardcover 1st edition 2013"--T.p. verso

内容説明・目次

内容説明

This book offers a first course in analysis for scientists and engineers. It can be used at the advanced undergraduate level or as part of the curriculum in a graduate program. The book is built around metric spaces. In the first three chapters, the authors lay the foundational material and cover the all-important "four-C's": convergence, completeness, compactness, and continuity. In subsequent chapters, the basic tools of analysis are used to give brief introductions to differential and integral equations, convex analysis, and measure theory. The treatment is modern and aesthetically pleasing. It lays the groundwork for the needs of classical fields as well as the important new fields of optimization and probability theory.

目次

Sets and Functions.- Metric Spaces.- Functions on Metric Spaces.- Differential and Integral Equations.- Convexity.-Convex Optimization.- Measure and Integration.- Bibiography.-Index.-

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詳細情報

  • NII書誌ID(NCID)
    BB21968740
  • ISBN
    • 9781489998590
  • LCCN
    2012950352
  • 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
    New York
  • ページ数/冊数
    ix, 161 p.
  • 大きさ
    24 cm
  • 分類
  • 件名
  • 親書誌ID
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