Nonlinear Functional Analysis

Small book cover: Nonlinear Functional Analysis

Nonlinear Functional Analysis

Publisher: University of Vienna
Number of pages: 74

This manuscript provides a brief introduction to nonlinear functional analysis. We start out with calculus in Banach spaces, review differentiation and integration, derive the implicit function theorem and apply the result to prove existence and uniqueness of solutions for ordinary differential equations in Banach spaces. Next we introduce the mapping degree in both finite and infinite dimensional Banach spaces.

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