The content and character of mathematics needed in applications are changing rapidly. Introduces students of
engineering, physics, mathematics and computer science to those areas that are vital to address practical problems.
The Seventh Edition offers a self-contained treatment of ordinary differential equations, linear algebra, vector
calculus, fourier analysis and partial differential equations, complex analysis, numerical methods, optimization
and graphs, probability and statistics. New in this edition are: many sections rewritten to increase readability;
problems have been revised and more closely related to examples; instructors manual quadrupled in content; improved
balance between applications, algorithmic ideas and theory; reorganized differential equations and linear algebra
sections; added and improved examples throughout.
Table of Contents
ORDINARY DIFFERENTIAL EQUATIONS.
First-Order Differential Equations.
Second-Order Linear Differential Equations.
Higher Order Linear Differential Equations.
Systems of Differential Equations: Phase Plane, Stability.
Series Solutions of Differential Equations: Special Functions.
Laplace Transforms.
LINEAR ALGEBRA, VECTOR CALCULUS.
Linear Algebra: Matrices, Vectors, Determinants.
Vector Differential Calculus: Grad, Div, Curl.
Vector Integral Calculus: Integral Theorems.
FOURIER ANALYSIS AND PARTIAL DIFFERENTIAL EQUATIONS.