Advanced Engineering Mathematics

by R.K. Jain, S.R.K. Iyengar

Based on three decades worth of experience and notes of mathematics course lecturers to engineering students, Advanced Engineering Mathematics emphasizes the fundamental and theoretical concepts though explanatory illustrative examples and exercises. In this revised edition the topic of Vector Spaces has been with further explored, touching on concepts like the Sum of Subspaces, Direct Sum of Subspaces and the Gram-Schmidt Orthogonalization Process.

Table of Contents

• Preface to the Fourth Edition
•

• Preface 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 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.

1472 pages, Hardcover

Published January 30, 2016