ADVANCED ENGINEERING MATHEMATICS

This book provides a comprehensive, thorough, and up-to-date treatment of engineering mathematics. It is intended to introduce students of engineering, physics, mathematics, computer science, and related fields to those areas of applied mathematics that are most relevant for solving practical problems. A course in elementary calculus is the sole prerequisite.

TABLES OF CONTENTS:

First-Order ODEs
Second-Order Linear ODEs
Higher Order Linear ODEs
Systems of ODEs. Phase Plane. Qualitative Methods
Series Solutions of ODEs. Special Functions
Laplace Transforms
Linear Algebra: Matrix Eigenvalue Problems
Vector Differential Calculus. Grad, Div, Curl
Vector Integral Calculus. Integral Theorems