Advanced Calculus for Users

By Alain M. Robert

This monograph is applications oriented, aimed at those who need to use advanced calculus in their work, for example physicists and engineers. The central idea of the course is Linearization. It occurs in the notion of derivative (tangent linear map) and differential forms (fields of linear forms). In these first two sections, finite dimensional vector spaces play the central role. The third part is an introduction to Functional Analysis and therefore many infinite dimensional function spaces are introduced and examined. Convergence (particularly uniform convergence) for sequences and series of functions is studied more or less systematically: the importance of these concepts in analysis cannot be overemphasized. The final part, a study of Fourier Series, includes a section on historical applications.

• Format: Hardcover
• Language: English
• ISBN: 0444873244
• ISBN13: 9780444873248
• Release Date: January 1989
• Publisher: Pan Publishing
• Length: 364 Pages
• Weight: 2.10 lbs.