Numerical methods for scientists and engineers /

Numerical methods for scientists and engineers /

Preface, There has been much progress in the 10 years since the first edition was written, but of the many books that have appeared on the topic none has put the emphasis on the frequency approach and its use in the solution of problems. For these reasons, a second edition seems necessary. The mater...

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Detalles Bibliográficos
Formato: Libro
Lenguaje:Spanish
Publicado: United States of America : McGraw-Hill, ©1962
Edición:second edition
Tabla de Contenidos:
  • I. Fundamentals and algorithms. 1 An Essay on Numerical Methods. – 2 Numbers. – 3 Function Evaluation.
  • 4 Real Zeros.
  • 5 Complex Zeros.
  • 6 Zeros of Polynomials.
  • 7 Linear Equations and Matrix Inversion.
  • 8 Random Numbers.
  • 9 The Difference Calculus.
  • 10 Roundoff.
  • 11 The Summation Calculus.
  • 12 Infinite Series.
  • 13 Difference Equations.
  • II. Polynomial approximation-classical theory. 14 Polynomial Interpolation.
  • 15 Formulas Uaing Funetion Values.
  • 16 Error Terms.
  • 17 Formulas Using Derivatives.
  • 18 Fomulas Using Differences. – 19 Formulas Using the Sample Points as Parameters.
  • 20 Composite Formulas.
  • 21 Indefinite Integrals-Feedback.
  • 22 Introduction to Differential Equations.
  • 23 A General Theory of Predictor-Corrector Methods. – 24 Special Methods of Integrating Ordinary Differential Equations.
  • 25 Least Squares: Theory.
  • 26 Orthogonal Funetions.
  • 27 Least Squares: Practice.
  • 28 Chebyshev Approximation: Theory.
  • 29 Chebyshev Approximation: Practice.
  • 30 Rational Function Approximation.
  • III. Fourier approximation-modern theory. 31 Fourier Series: Periodic Functions.
  • 32 Convergence of Fourier Series.
  • 33 The Fast Fourier Transform.
  • 34 The Fourier Integral: Nonperiodic Functions.
  • 35 A Second Look at Polynomial Approximation –Filters.
  • 36 Integrals and Differential Equations.
  • 37 Design of Digital Filters.
  • 38 Quantization of Signals.
  • IV. Exponential approximation. 39 Sums of Exponentials.
  • 40 The Laplace Transform.
  • 41 Simulation and the Method of Zeros and Poles.
  • V. Miscellaneous. 42 Approximations to Singularities.
  • 43 Optimization.
  • 44 Linear Independence. – 45 Eigenvalues and Eigenvectors of Hermitian Matrices.
  • N+1 The Art of Computing for Scientists and Engineers. – Index.

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