Numerical Analysis - A Programming Approach By Vinay Vachharajani

Numerical Analysis - A Programming Approach By Vinay Vachharajani

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Author: Vinay Vachharajani

Book Title Numerical Analysis - A Programming Approach By Vinay Vachharajani
Type Book
Date Published Sep 29, 2017

Author: Vinay Vachharajani


  • Language: English
  • Binding: Paperback
  • Publisher: BPB Publications
  • ISBN: 9788183335515
  • Edition: 2017
  • Pages: 577
  • Dimension: 23 X 15 X 3 cm


This book is Designed to serve as a text book for the undergraduate as well as post graduate students of Mathematics, Engineering, Computer Science.


  • Concept of numbers and their accuracy, binary and decimal number system, limitations of floating point representation.
  • Concept of error and their types, propagation of errors through process graph.
  • Iterative methods for finding the roots of algebraic and transcendental equations with their convergence, methods to solve the set of non-linear equations, methods to obtain complex roots.
  • Concept of matrices, the direct and iterative methods to solve a system of linear algebraic equations.
  • Finite differences, interpolation and extrapolation methods, cubic spline, concept of curve fitting.
  • Differentiation and integration methods.
  • Solution of ordinary and partial differential equations


  • Chapters include objectives, learning outcomes, multiple choice questions, exercises for practice and solutions.
  • Programs are written in C Language for Numerical methods.
  • Topics are explained with suitable examples.
  • Arrangement (Logical order), clarity, detailed presentation and explanation of each topic with numerous solved and unsolved examples.
  • Concise but lucid and student friendly presentation for derivation of formulas used in various numerical methods.

 Table Of Contents:

  • Computer Arithmetic
  • Error Analysis                                                                                                
  • Solution of Algebraic and Transcendental Equations                                  
  • Solution of System of Linear Equations and Eigen value Problems                  
  • Finite Differences                                                                                    
  • Interpolation                                                                                                      
  • Curve Fitting and Approximation                                                                
  • Numerical Differentiation                                                                            
  • Numerical Integration                                                                                  
  • Difference Equations                                                                                  
  • Numerical Solution of Ordinary Differential Equations                              
  • Numerical Solution of Partial Differential Equations                                  
  • Appendix – I    Case Studies / Applications  
  • Appendix - II   Synthetic Division        
  • Bibliography        
  • Index