Differential calculus in normed spaces (Fréchet derivatives), contraction principles, and monotone maps.
: The original edition includes 401 problems to help reinforce the material. Historical Context
Imagine a rubber ball. When you squeeze it, it deforms. The energy of the ball is a "functional"—a function of a function.
Before one can tackle the chaotic world of nonlinear dynamics, one must understand the structure of linear spaces. is essentially the extension of linear algebra to infinite-dimensional spaces.
The work " Linear and Nonlinear Functional Analysis with Applications