Nonlinear functional analysis

Its subject matter includes:

{{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 }}

{{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

• Functional analysis

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