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The present book provides a comprehensive treatment of the concepts and topics by giving a vast variety of examples fully solved. The entire subject matter has been arranged in a systematic, graded, simple, lucid and exhaustive manner. Each chapter begins with some definitions followed by theorems with complete proofs and solved problems. A large number of notes and remarks have been added for a better understanding of the subject.



Solution of Equations : Bisection, Secant, Regula Falsi, Newton’s Method, Roots of Polynomials.

Interpolation : Lagrange and Hermite Interpolation, Divided Differences, Difference Schemes, Interpolation Formulas using Difference.

Numerical Differentiation.

       Numerical Quadrature : Newton-Cote’s Formulas, Gauss Quadrature Formulas, Chebychev’s Formulas.

Linear Equations : Direct Methods for Solving Systems of Linear Equations (Gauss Elimination, LU Decomposition, Cholesky Decomposition), Iterative Methods (Jacobi, Gauss-Seidel, Relaxation Methods).

The Algebraic Eigenvalue Problem : Jacobi’s Method, Givens’ Method, Householder’s Method, Power Method, QR Method, Lanczos’ Method.

Ordinary Differential Equations : Euler Method, Single-step Methods, Runge-Kutta’s Method, Multi-step Methods.

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