“Nonlinear functional analysis”的意思、由来-开放百科全书

词条

Nonlinear functional analysis

释义

Topics
See also
Notes

Nonlinear functional analysis is a branch of mathematical analysis that deals with nonlinear mappings.

Topics

Its subject matter includes:^[1]{{Rp|1–2}}

generalizations of calculus to Banach spaces
implicit function theorems
fixed-point theorems (Brouwer fixed point theorem, Fixed point theorems in infinite-dimensional spaces, topological degree theory, Jordan separation theorem, Lefschetz fixed-point theorem)
Morse theory and Lusternik–Schnirelmann category theory
methods of complex function theory

Notes

1. ^{{cite book | last = Schwartz | first = Jacob T. | authorlink = Jack Schwartz | title = Non-Linear Functional Analysis | publisher = Gordon & Breach Science Pub | location = New York | year = 1969 | isbn = 978-0-677-01505-7 }}

1 : Nonlinear functional analysis

随便看

开放百科全书收录14589846条英语、德语、日语等多语种百科知识，基本涵盖了大多数领域的百科知识，是一部内容自由、开放的电子版国际百科全书。

Topics

See also

Notes