This book is based on the experience and the lecture notes of the authors while teaching Mathematics Courses for more than four decades. This comprehensive text book covers the material for one year core course in “Mathematical Methods” for first year Engineering students. The emphasis in the book is on the presentation of fundamentals and theoretical concepts in an intelligible and easy to understand manner. Graded sets of examples (in text) and problems (in exercises) are used to explain each theoretical concept and application of these concepts in problem solving. Answers for every problem and hints for difficult problems are provided.

• NEW TO THE SECOND EDITION: • Singular Value Decomposition • B-splines • Gauss-Legendre Quadrature • Evaluation of Singular Value Integrals • Adams-Bashforth-Moulton Fourth Order Predictor-corrector Method This text book offers a logical and lucid presentation of both theory and techniques for problem solving to motivate the students in the study and application of mathematics, in particular ‘Numerical methods’, to solve Engineering problems.

Preface to the Second Edition / Preface to the First Edition / Matrices and Linear System of Equations / Eigenvalue Problems / Solution of Algebraic and Transcendental Equations / Interpolation / Least Squares Approximation / Numerical Differentiation and Integration / Numerical Solution of Ordinary Differential Equations / Fourier Series and Fourier Integral / Fourier Transforms / Z transforms / Partial Differential Equations / Appendix / Bibliography / Index.

Undergraduate Students