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Numerical Analysis - A Programming Approach By Vinay Vachharajani

Rs. 359.10

COVERAGE:

  • 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

 SALIENT FEATURES:

  • 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.

 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