Applied analysis

by John K. Hunter and Bruno Nachtergaele

This book provides an introduction to those parts of analysis that are most useful in applications for graduate students. The material is selected for use in applied problems, and is presented clearly and simply but without sacrificing mathematical rigour. The text is accessible to students from a wide variety of backgrounds, including undergraduate students entering applied mathematics from non-mathematical fields and graduate students in the sciences and engineering who want to learn analysis. A basic background in calculus, linear algebra and ordinary differential equations, as well as some familiarity with functions and sets, should be sufficient.

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[目次]

  • Metric and Normed Spaces
  • Continuous Functions
  • The Contraction Mapping Theorem
  • Topological Spaces
  • Banach Spaces
  • Hilbert Spaces
  • Fourier Series
  • Bounded Linear Operators on a Hilbert Space
  • The Spectrum of Bounded Linear Operators
  • Linear Differential Operators and Green's Functions
  • Distributions and the Fourier Transform
  • Measure Theory and Function Spaces
  • Differential Calculus and Variational Methods.

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この本の情報

書名 Applied analysis
著作者等 Hunter, John K
Nachtergaele, Bruno
Nachtergaele B.
Hunter John K.
出版元 World Scientific
刊行年月 2001
ページ数 xii, 439 p.
大きさ 26 cm
ISBN 9789810241919
NCID BA51695322
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言語 英語
出版国 アメリカ合衆国
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