Bansal R.K. Fundamentals of Numerical Methods

Oxford: Alpha Science International Ltd., 2018. — 574 p. — ISBN: 1783323604.Presents the fundamental concepts of numerical methods for students of mathematics, physics and engineering. The text strikes a balance between abstract and applied expositions of numerical analysis. Insofar as possible, each concept is developed in a clear and concise manner, and illustrated by pedagogically sound examples so that the material can be assimilated, even if the theoretical development is not fully understood. The book caters to readers who are interested in the applications of numerical methods. It will also be of interest to the students of pure mathematics who are exposed to the numerical methods for the first time.Preliminaries and Introduction.
Approximation of Roots of Polynomial and Transcendental Equations.
Solution of Linear System of Algebraic Equations.
Interpolation.
Numerical Differentiation and Integration.
Numerical Solution of Ordinary Differential Equations.
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