First Steps in Numerical Analysis
by R. Hosking, S. Joe, D. Joyce, and J. Turner
Number of pages: 338
This book provides an excellent introduction to the elementary concepts and methods of numerical analysis for students meeting the subject for the first time. The subject matter is organized into fundamental topics and presented as a series of steps. At the end of each step, checkpoints are included to allow the reader to gauge their understanding of the concepts introduced.
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by Dennis Deturck, Herbert S. Wilf - University of Pennsylvania
Contents: Differential and Difference Equations (Linear equations with constant coefficients, Difference equations, Stability theory); The Numerical Solution of Differential Equations (Euler's method); Numerical linear algebra.
by Autar K Kaw, Egwu Eric Kalu - Lulu.com
The textbook is written for engineering undergraduates taking a course in numerical methods. It offers a treatise to numerical methods based on a holistic approach and short chapters. The authors included examples of real-life applications.
by George Benthien
Tutorial discussing some of the numerical aspects of practical harmonic analysis. Topics include Historical Background, Fourier Series and Integral Approximations, Convergence Improvement, Differentiation of Fourier Series and Sigma Factors, etc.
by R. Glowinski - Tata Institute of Fundamental Research
Many physics problems have variational formulations making them appropriate for numerical treatment. This book describes the mathematical background and reviews the techniques for solving problems, including those that require large computations.