書誌事項

Numerical mathematics and computing

Ward Cheney, David Kincaid

(A Gary W. Ostedt book)

Brooks/Cole Pub. Co., c1999

4th ed.

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注記

Includes bibliographical references (p. 653-660) and index

内容説明・目次

内容説明

Acquainting the reader with the modern computer's potential for solving the numerical problems that arise in their careers, this text also provides them with an opportunity to hone their skills in programming and problem solving and helps them arrive at an understanding of the important subject of errors that inevitably accompany scientific computing and arms them with methods for detecting, predicting, and controlling these errors.

目次

  • Number representation and errors
  • locating roots of equations
  • interpolation and numerical differentiation
  • numerical integration
  • systems of linear equations
  • approximation by spline functions
  • ordinary differential equations
  • systems of ordinary differential equations
  • smoothing of data and the method of least squares
  • Monte Carlo methods and simulation
  • boundary value problems for ordinary differential equation
  • partial differential equations
  • minimization of multivariate functions
  • linear programming. Appendices: linear algebra concepts and notation
  • answers for selected problems.

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