Applications of numerical techniques with C

Applications of Numerical Techniques With C discusses the salient features of computers, C language, Interpolation, Integration, Roots of an Equation, Solution of Simultaneous Equations, Eigenvalues and Eigenvectors of a Matrix, Solution of Differential Equations, Random Numbers and Statistical Parameters. Flow-chart is written for each technique. Each technique is explained with the help of simple exercises using simple language, and computer programs for dealing with complicated situations.

Computers: Brief Description about a Computer / Operating System / Coding System / Translators / Flow-chart / Problems and Questions / C: Introduction / Arithmetic Operators / Library Functions / Input and Output / Relational Operators / Logical Operators / Control Statements / Looping / Arrays / Functions / Problems and Questions / Interpolation: 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 / Integration: Trapezoidal Rule / Simpson Rule / Newton's Three-Eight Rule / Gauss Quadrature Method / Problems and Questions / Roots of An Equation: 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 Equations: 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 Matrix: 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 Equation: Taylor Series Method / Euler Method / Henn Method / Runge-Kutta Method/ Predictor-corrector Method / Problems and Questions / Random Numbers: Random Numbers / Problems and Questions / Statistical Parameters: Arithmetic Mean / Median / Mode / Mean Deviation / Standard Deviation / Correlation / Problems and Questions / Bibliography / Index.

Undergraduate and Postgraduate Students