[[Image:3D-Leveltorus.png|thumb|right|Morse theory is a branch of nonlinear functional analysis.]]
'''Nonlinear functional analysis''' is a branch of mathematical analysis that deals with nonlinear mappings.
==Topics== Its subject matter includes:<ref> {{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 }} </ref>{{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
==See also== * Functional analysis
==Notes== {{reflist}}
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Category:Nonlinear functional analysis