Multivariable Analysis

• Main Authors: Shirali, Satish (Author), Vasudeva, Harkrishan Lal (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: London : Springer London, 2011.
• Subjects: Mathematics.; Functions of real variables.; Real Functions.

This book provides a rigorous treatment of multivariable differential and integral calculus. Inverse and implicit function theorems based on total derivatives are given and the connection with solving systems of equations is included. There is an extensive treatment of extrema, including constrained...

Table of Contents:

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