Mathematical Analysis: An Introduction to Functions of Several Variables

by Mariano Giaquinta

Preface.-Differential Calculus.-The differential calculus for scalar functions.-The differential calculus for vector-valued functions.-The theorems of the differential calculus.-Invertibility of map Rn to Rn.-Differential calculus in Banach spaces.-Exercises.-The Integral Calculus.-Lebesque's integral.-Convergence theorems.-Mollifiers and approximation.-Integral calculus.-Measure and area.-The Gauss-Green formula.-Exercises.-Curves and Differential...

• Format: Hardcover
• Language: English
• ISBN: 0817645098
• ISBN13: 9780817645090
• Release Date: April 2009
• Publisher: Birkhauser
• Length: 348 Pages
• Weight: 1.51 lbs.
• Dimensions: 0.8" x 6.1" x 9.2"