Book:Richard W. Hamming/Numerical Methods for Scientists and Engineers

Subject Matter

 * Numerical Analysis

Contents

 * Preface


 * PART I. THE DISCRETE FINITE DIFFERENCE CALCULUS


 * Chapter 1. The Difference Calculus
 * Chapter 2. Roundoff Noise
 * Chapter 3. The Summation Calculus
 * Chapter 4. Evaluation of Infinite Series
 * Chapter 5. Finite Difference Equations
 * Chapter 6. The Finite Fourier Series


 * Part II. POLYNOMIAL APPROXIMATION -- CLASSICAL NUMERICAL ANALYSIS
 * Chapter 7. Introduction to Polynomial Approximations
 * Chapter 8. Polynomial Interpolation -- Arbitrarily Spaced Data
 * Chapter 9. Polynomial Interpolation -- Equally Spaced Data
 * Chapter 10. A Uniform Method of Finding Formulas
 * Chapter 11. On Finding the Error Term of a Formula
 * Chapter 12. Formulas for Definite Integrals
 * Chapter 13. Indefinite Integrals
 * Chapter 14. Introduction to Differential Equations
 * Chapter 15. A General Theory of Predictor-Corrector Methods
 * Chapter 16. Special Methods of Integrating Ordinary Differential Equations
 * Chapter 17. Least Squares: Theory
 * Chapter 18. Least Squares: Practice
 * Chapter 19. Chebyshev Polynomials
 * Chapter 20. Rational Functions


 * Part III. NONPOLYNOMIAL APPROXIMATION
 * Chapter 21. Periodic Functions -- Fourier Approximation
 * Chapter 22. The Convergence of Fourier Series
 * Chapter 23. Nonperiodic Functions -- The Fourier Integral
 * Chapter 24. Linear Filters -- Smoothing and Differentiating
 * Chapter 25. Integrals and Differential Equations
 * Chapter 26. Exponential Approximation
 * Chapter 27. Singularities


 * Part IV. ALGORITHMS AND HEURISTICS
 * Chapter 28. On Finding Zeroes
 * Chapter 29. Simultaneous Linear Algebraic Equations
 * Chapter 30. Inversion of Matrices and Eigenvalues
 * Chapter 31. Some Examples of the Simulation of Situations and Processes
 * Chapter 32. Random Numbers and Monte Carlo Methods
 * Chapter $N + 1$. The Art of Computing for Scientists and Engineers


 * References


 * Index