Numerical Methods

Numerical Methods has been specifically written to serve as a textbook for mathematics, science and engineering students of all disciplines. The text covers all major aspects of numerical methods, including numerical computations, matrices and linear system of equations, solution of algebraic and transcendental equations, finite differences and interpolation, curve fitting, correlation and regression, numerical differentiation and integration, and numerical solution of ordinary differential equations. The book maintains a student-friendly approach and numerical problem solving orientation. Presentations are limited to very basic topics to serve as an introduction to advanced topics in those areas of discipline. The purpose of the book is to present the principle and concepts of numerical methods as relevant to student learning.

The numerous worked examples and unsolved exercise problems are intended to provide the reader with an awareness of the general applicability of principles and concepts of numerical methods. An extensive bibliography to guide the student to further sources of information on numerical methods topics covered in this book is provided at the end of the book. Answers to all end-of-chapter problems are given at the end of the book.

CONTENTS

Numerical Computations
Linear System of Equations
Solution of Algebraic and Transcendental Equations
Numerical Differentiation
Interpolation
Curve Fitting
Numerical Integration
Numerical Solution of Ordinary Differential Equations
Appendices

KEY POINTS

Lucid Style
Easy to understand methodology
Coverage of all course fundamentals
Clarity in the presentation of concepts
Over 175 fully-solved problems with step-by-step solutions
Over 350 additional practice problems with complete answers

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