Multivariable Analysis

In what is a rigorous treatment of multivariable differential and integral calculus, this book explains key theorems including Stokes's as well as covering extrema such as Lagrange multipliers. It explores Riemann integration in n dimensions in detail.

Contains a number of examples as well as section-by section problems, ranging from simple to complex Problems illustrate the application of concepts introduced as well as further developments Extensive hints and solutions are provided Full chapter on extrema, including examples when the Lagrange method appears to "fail"

Inhalt

Preliminaries.- Functions between Euclidean Spaces.- Differentiation.- Inverse and Implicit Function Theorems.- Extrema.- Riemann Integration in Euclidean Space.- The General Stokes Theorem.- Solutions.