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Full Description
The fourth edition of this very successful book, based on the experience and notes of the authors while teaching mathematics courses to engineering students for more than three decades, emphasizes the fundamental and theoretical concepts. The key features of the book are illustrative examples and exercises that explain each theoretical concept. NEW TO THE FOURTH EDITION: Chapters on: Condition number of a matrix and Singular Value Decomposition (Chapter 3) Application of Z-transforms to find the sum of series (Chapter 17) Cubic splines, B-splines, Romberg integration, Gauss quadrature rules and Two- point boundary value problems KEY FEATURES: Logical and Lucid Presentation of both the Theory and Problem Solving Techniques 890 Solved Examples and 3485 Problems Answers and hints for problems given to Motivate Students
Contents
Preface to the Fourth Edition / Precace to the First Edition / Functions of a Real Variable / Functions of Several Real Variables / Matrices and Eigenvalue Problems / Ordinary Differential Equations of First Order / Linear Differential Equations / Series Solution of Differential Equation / Legendre Polynomials, Chebysher Polynomials, Bessel Functions and Sturm-Liouvelle Problem / Laplace Transformation / Fourier Series, Fourier Integrals and Fourier Transform / Functions of a Complex Variables: Analytic Functions / Integration of Complex Functions / Power Series, Taylor and Laurent Series / Zeros, Singularities and Residues / Billinear Transformation and Conformal Mapping / Vector Differential and Integral Calculus / Partial Differential Equations / Z Transformation / Numerical Methods / Theory of Probability / Mathematical Statistics - Tests of Significance / Appendixes / Some References Textbooks / Index.
