Advanced Calculus - Kaplan - 5th Ed

The Fifth Edition of this leading text offers substantial training in vectors and matrices, vector analysis, and partial differential equations. Vectors are introduced at the outset and serve at many points to indicate geometrical and physical significance of mathematical relations. Numerical methods are touched upon at various points, because of their practical value and the insights they give about theory. Content:

Vectors and Matrices
Differential Calculus of Functions of Several Variables
Vector Differential Calculus
Integral Calculus of Functions of Several Variables
Vector Integral Calculus
Two-Dimensional Theory
Three-Dimensional Theory and Applications
Infinite Series
Fourier Series and Orthogonal Functions
Functions of a Complex Variable
Ordinary Differential Equations
Partial Differential Equations