Applied mathematics in hydraulic engineering : an introduction to nonlinear differential equations

著者

    • 水村, 和正 ミズムラ, カズマサ

書誌事項

Applied mathematics in hydraulic engineering : an introduction to nonlinear differential equations

Kazumasa Mizumura

World Scientific, c2011

  • : hardcover

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注記

Includes bibliographical references (p. 417-420) and index

内容説明・目次

内容説明

Applied Mathematics in Hydraulic Engineering is an excellent teaching guide and reference to treating nonlinear mathematical problems in hydraulic, hydrologic and coastal engineering. Undergraduates studying civil and coastal engineering, as well as analysis and differential equations, are started off applying calculus to the treatment of nonlinear partial differential equations, before given the chance to practice real-life problems related to the fields. This textbook is not only a good source of teaching materials for teachers or instructors, but is also useful as a comprehensive resource of mathematical tools to researchers.

目次

  • Calculus
  • Vector & Tensor
  • Complex Functions
  • Conformal Mapping
  • Special Functions
  • Fourier Series
  • Fourier & Laplace Transformations
  • Partial Differential Equations of the First & Second Orders
  • Nonlinear Equations
  • Linearization Methods
  • Boundary Layer Theory
  • Method of Variation
  • Perturbation Method
  • Nonlinear System Analysis.

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