Description: This outstanding text treats numerical analysis with mathematical rigor, but presents a minimum of theorems and proofs. Oriented toward solving problems on a digital computer, it stresses errors in methods and computational efficiency, and compares different solutions to the same problem. Following an introductory chapter on sources of error and computer arithmetic, the text covers such topics as approximation and algorithms, interpolation, the numerical solution of ordinary differential equations, functional approximation, the solution of nonlinear equations, and the calculation of eigenvalues and eigenvectors of matrices. This second edition also includes discussions of spline interpolation, adaptive integration, the fast Fourier transform, the simplex method of linear programming, and simple and double QR algorithms. Problems appear at the end of each chapter, many of which are strictly mathematical; others require a computer for solution.

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