Logo

Nonlinear Functional Analysis

Small book cover: Nonlinear Functional Analysis

Nonlinear Functional Analysis
by

Publisher: University of Vienna
Number of pages: 74

Description:
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.

Home page url

Download or read it online for free here:
Download link
(450KB, PDF)

Similar books

Book cover: Functional AnalysisFunctional Analysis
by - University of Vienna
This free manuscript provides a brief introduction to Functional Analysis. The text covers basic Hilbert and Banach space theory including Lebesgue spaces and their duals (no knowledge about Lebesgue integration is assumed).
(14036 views)
Book cover: Integral OperatorsIntegral Operators
by - BookBoon
Examples of Hilbert-Smith operators and other types of integral operators, Hilbert Schmidt norm, Volterra integral operator, Cauchy-Schwarz inequality, Hoelder inequality, iterated kernels, Hermitian kernel, and much more.
(12467 views)
Book cover: Topics in Real and Functional AnalysisTopics in Real and Functional Analysis
by - Universitaet Wien
This manuscript provides a brief introduction to Real and (linear and nonlinear) Functional Analysis. It covers basic Hilbert and Banach space theory as well as basic measure theory including Lebesgue spaces and the Fourier transform.
(15330 views)
Book cover: Special Course in Functional Analysis: (Non-)Commutative TopologySpecial Course in Functional Analysis: (Non-)Commutative Topology
by - Aalto TKK
In this book you will learn something about functional analytic framework of topology. And you will get an access to more advanced literature on non-commutative geometry, a quite recent topic in mathematics and mathematical physics.
(11533 views)