Mathematical Methods

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Mathematics lays the basic foundation for engineering students to pursue their core subjects. This book on Mathematical Methods covers topics on matrices, linear systems of equations, eigenvalues, eigenvectors, quadratic forms, Fourier series, partial differential equations, Z-transforms, numerical methods of solutions of equation, differentiation, integration and numerical solutions of ordinary differential equations.FeaturesNumerical solutions of algebraic and transcendental equations by iteration, bisection, Newton – Raphson methods Numerical methods include cubic spline method, Runge–Kutta methods and Adams–Bashforth – Moulton methods Applications to one-dimensional heat equations, wave equations and Laplace equations Clear concepts of classifiable functions—even and odd functions—in Fourier series Exhaustive coverage of LU decomposition—tridiagonal systems in solutions of linear systems of equations Over 900 objective-type questions that include multiple choice questions fill in the blanks match the following and true or false statements Latest University model question papers with solutionsContentsMatrices and Linear Systems of Equations Eigenvalues and Eigenvectors Real and Complex Matrices Quadratic Forms Solution of Algebraic and Transcendental Equations Interpolation Curve Fitting Numerical Differentiation and Integration Numerical Solution of Ordinary Differential Equations Fourier Series Fourier Integral Transforms Partial Differential Equations Z-Transforms and Solution of Difference Equations Question Bank