Applications of Numerical Techniques with C

by Suresh Chandra

Discussing the salient features of computers, including areas like C language, interpolation, integration, and Eigenvalues, this richly illustrated book seeks to explain and aid the reader with the help of simple exercises and computer programs for dealing with complicated situations.

Table of Contents

• Brief Description about a Computer
• Operating System
• Coding System
• Translators
• Flow-chart
• Problems and Questions
• Introduction
• Arithmetic Operators
• Library Functions
• Input and Output
• Relational Operators
• Logical Operators
• Control Statements
• Looping
• Arrays
• Functions
• Problems and Questions
• Linear Least Square Fitting
• Lagrange's Interpolation
• Cubic Spline Fitting
• Newton's Interpolation
• Difference Schemes
• Interpolation in Terms of the Differences
• Gregory-Newton Difference Interpolation
• Problems and Questions
• Trapezoidal Rule
• Simpson Rule
• Newton's Three-Eight Rule
• Gauss Quadrature Method
• Problems and Questions
• Roots of An Roots of a Quadratic Equation
• Limits for Real Roots of a Polynomial Equation
• Bisectional Method
• False Position Method
• Newton-Raphson Method
• Problems and Questions
• Solution of Simultaneous Basic Operations Under Which a Solution of Simultaneous, Linear and Independent Equations Remains Unchanged
• Gauss Elimination Method
• Pivotal Condensation Method
• Gauss-Jordan Method
• Problems and Questions
• Eigenvalues and Eigenvectors of a Eigenvalues and Eigenvectors of a Real Symmetric Matrix of Order 2 x 2
• Eigenvalues and Eigenvectors of a Real Asymmetric Matrix of Order 2 x 2
• Eigenvalues and Eigenvectors of a Real Matrix Whose Elements Can be Written in the Form of Square Matrices Along the Diagonal and the Rest Elements are Zero
• Determinant of a Matrix
• Characteristic Equation of a Matrix
• Power Method
• Inverse Power Method
• Problems and Questions
• Solution of Differential Taylor Series Method
• Euler Method
• Henn Method
• Runge-Kutta Method
• Predictor-corrector Method
• Problems and Questions
• Random Random Numbers
• Problems and Questions
• Statistical Arithmetic Mean
• Median
• Mode
• Mean Deviation
• Standard Deviation
• Correlation
• Problems and Questions
• Bibliography
• Index.

270 pages, Hardcover

Published June 1, 2006