Introductory Methods Of Numerical Analysis

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Book Summary:

This thoroughly revised and updated text, now in its fifth edition, continues to provide a rigorous introduction to the fundamentals of numerical methods required in scientific and technological applications, emphasizing on teaching students numerical methods and in helping them to develop problem-solving skills.

While the essential features of the previous editions such as References to MATLAB, IMSL, Numerical Recipes program libraries for implementing the numerical methods are retained, a chapter on Spline Functions has been added in this edition because of their increasing importance in applications.

This text is designed for undergraduate students of all branches of engineering.

This book is recommended in Manipur University, Manipur, Gauhati University, Assam, Dibrugarh University, Assam, Assam University, Assam, North Eastern Hill University, Meghalaya, Jadavpur University, West Bengal for B.Sc. Mathematics, West Bengal University of Technology (WBUT), West Bengal for M.Tech Structural Engineering, B.Tech, University of Kalyani, West Bengal.

NEW TO THIS EDITION :

Includes additional modified illustrative examples and problems in every chapter.

Provides answers to all chapter-end exercises.

Illustrates algorithms, computational steps or flow charts for many numerical methods.

Contains four model question papers at the end of the text.
 

Table of Contents:

Preface
1. Errors in Numerical Calculations
2. Solution of Algebraic and Transcendental Equations
3. Interpolation
4. Least Squares and Fourier Transforms
5. Spline Functions
6. Numerical Differentiation and Integration
7. Numerical Linear Algebra
8. Numerical Solution of Ordinary Differential Equations
9. Numerical Solution of Partial Differential Equations
10. Numerical Solution of Integral Equations
11. The Finite Element Method
Bibliography
Model Test Papers
Index