Differential equations : a modeling perspective

書誌事項

Differential equations : a modeling perspective

Robert L. Borrelli, Courtney S. Coleman

Wiley, c1998

  • cloth

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注記

Includes index

内容説明・目次

内容説明

The Authors' goal is to communicate an exciting new approach to Differential Equations - through Modeling, Visualization and Dynamical Systems. This new way of looking at ODEs blends the tried and true analytical methods with mathematical modeling, applications to engineering and the sciences, and geometric visualization via numerical solvers. The resulting rich insight and highly motivated learning offers students a powerful, stimulating, yet accessible experience that brings them to a deep understanding of ODEs!

目次

First--Order Differential Equations and Models. Initial Value Problems and Their Approximate Solutions. Second--Order Differential Equations. Applications of Second--Order Differential Equations. Systems of Differential Equations. The Laplace Transform. Linear Systems of Differential Equations. Stability. Cycles, Bifurcations, and Chaos. Fourier Series and Separation of Variables. Series Solutions: Bessel Functions, Legendre Polynomials. Appendices. Answers to Selected Problems. Index.

「Nielsen BookData」 より

詳細情報

  • NII書誌ID(NCID)
    BA35696481
  • ISBN
    • 0471042307
  • LCCN
    97028427
  • 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
    xiii, 706 p.
  • 大きさ
    26 cm
  • 分類
  • 件名
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