Advanced Calculus A Geometric View /

• Main Author: Callahan, James J. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: New York, NY : Springer New York, 2010.
• Series: Undergraduate Texts in Mathematics,
• Subjects: Mathematics.; Global analysis (Mathematics).; Analysis.; Applications of Mathematics.; Real Functions.; Approximations and Expansions.
• Online Access: View fulltext via EzAccess

With a fresh geometric approach that incorporates more than 250 illustrations, this textbook sets itself apart from all others in advanced calculus. Besides the classical capstones--the change of variables formula, implicit and inverse function theorems, the integral theorems of Gauss and Stokes--th...

Table of Contents:

• 1. Starting Points
• 2. Geometry of Linear Maps
• 3. Approximations
• 4. The Derivative
• 5. Inverses
• 6. Implicit Functions
• 7. Critical Points
• 8. Double Integrals
• 9. Evaluating Double Integrals
• 10. Sufrace Integrals
• 11. Stokes' Theorem.