This text book, reflects many years of teaching experience of the author, provides a clear, concise and authoritative treatment of the topics and is designed to meet the requirements of undergraduate students in the engineering and science disciplines. Enriched by many specially designed numerical examples and exercises which test the degree of understanding achieved, this book will be of value to all engineering and science students. This book (volumes I & II) covers the complete syllabi of engineering mathematics in various universities.

• • Clear and concise presentation of the theory and problem solving techniques • 596 solved examples and 1088 unsolved problems • Answers and hints for problems given to Motivate students

Preface / Algebra of Matrices / Rank of a Matrix and Linear Equations / Characteristic Roots and Characteristic Vectors of a Matrix / Successive Differentiation / Expansion of Functions / Partial Differentiation / Expansion of Functions for Two Variables, Approximation, Maxima and Minima / Jacobians / Asymptotes / Curve Tracing / Multiple Integrals / Gamma, Beta Functions and Dirichlet’s Integrals / Applications of Multiple Integrals / Differentiation of Vectors / Integration of Vectors / Differential Operators: Gradient, Divergence and Curl / Line, Surface and Volume Integrals / Green’s, Stoke’s and Gauss’s Theorems / Differential Equations and their Formation / Differential Equations of the First Order and First Degree / Linear Differential Equations with Constant Coefficients / Homogeneous Linear Equations Or Euler-Cauchy’s Equations / Ordinary Simultaneous Differential Equations / Linear Equations of Second Order / Applications of Differential Equations / Integration in Series / Bessel’s Equation and its Solutions / Legendre’s Equation and its Solutions / Index.

Undergraduate Students in Engineering and Science Disciplines