Advanced Calculus A Geometric View /

• Main Author: Callahan, James J. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2010.
• Series: Undergraduate Texts in Mathematics,
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Approximation theory.; Functions of real variables.; Applied mathematics.; Engineering mathematics.; Real Functions.; Analysis.; Applications of Mathematics.; Approximations and Expansions.

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:

• Starting Points
• Geometry of Linear Maps
• Approximations
• The Derivative
• Inverses
• Implicit Functions
• Critical Points
• Double Integrals
• Evaluating Double Integrals
• Surface Integrals
• Stokes’ Theorem.