Author(s)

Bibliographic Information

Fourier analysis

Eric Stade

(Pure and applied mathematics)

John Wiley & Sons, c2005

Available at  / 27 libraries

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Note

Includes bibliographical references(p. 479-482) and index

Description and Table of Contents

Description

A reader-friendly, systematic introduction to Fourier analysis Rich in both theory and application, Fourier Analysis presents a unique and thorough approach to a key topic in advanced calculus. This pioneering resource tells the full story of Fourier analysis, including its history and its impact on the development of modern mathematical analysis, and also discusses essential concepts and today's applications. Written at a rigorous level, yet in an engaging style that does not dilute the material, Fourier Analysis brings two profound aspects of the discipline to the forefront: the wealth of applications of Fourier analysis in the natural sciences and the enormous impact Fourier analysis has had on the development of mathematics as a whole. Systematic and comprehensive, the book: Presents material using a cause-and-effect approach, illustrating where ideas originated and what necessitated them Includes material on wavelets, Lebesgue integration, L2 spaces, and related concepts Conveys information in a lucid, readable style, inspiring further reading and research on the subject Provides exercises at the end of each section, as well as illustrations and worked examples throughout the text Based upon the principle that theory and practice are fundamentally linked, Fourier Analysis is the ideal text and reference for students in mathematics, engineering, and physics, as well as scientists and technicians in a broad range of disciplines who use Fourier analysis in real-world situations.

Table of Contents

Preface. Introduction. 1. Fourier Coefficients and Fourier Series. 2. Fourier Series and Boundary Value Problems. 3. L2 Spaces: Optimal Contexts for Fourier Series. 4. Sturm-Liouville Problems. 5. A Splat and a Spike. 6. Fourier Transforms and Fourier Integrals. 7. Special Topics and Applications. 8. Local Frequency Analysis and Wavelets. Appendix. References. Index.

by "Nielsen BookData"

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Details

  • NCID
    BA71978614
  • ISBN
    • 0471669849
  • LCCN
    2004042297
  • Country Code
    us
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Hoboken, N.J.
  • Pages/Volumes
    xxiv, 488 p.
  • Size
    25 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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