Calculus in Banach Space
Abstract
This is on differentiation in Banach Space. The main result is the development of the derivative and the Implicit and Inverse Function theorems. An application is given to Ordinary Differential Equations and their differentiable dependence on data. An elementary proof of the Brouwer Fixed Point theorem is also presented.
Fields of Study & Subjects
Advanced Banach Space Theory
Nonlinear Differential Equations Analysis
Mathematical and Theoretical Analysis
Publication details
- Journal / source
- Chapman & Hall/CRC eBooks
- Pages
- 76–104
- Publication date
- 10 January 2026
- Language
- EN
- Document type
- Book chapter