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Nonlinear Functional Analysis and its Applications: Part 1: Fixed-Point Theorems (Zeidler, Eberhard//Nonlinear Functional Analysis and Its Applications) (Pt. 1)
by Eberhard Zeidler
Binding: Hardcover, 909 pages
Publisher: Springer
Weight: 3.2 pound
Dimension: H: 1.8 x L: 9.3 x W: 6.1 inches
ISBN 10: 0387909141
ISBN 13: 9780387909141
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Book Description:
This is the first of a five-volume exposition of the main principles of nonlinear functional analysis and its applications to the natural sciences, economics, and numerical analysis. The presentation is self-contained and accessible to the nonspecialist. Among the topics of Volume I are the two basic fixed-point theorems of Banach and Schauder, calculus in Banach spaces, the implicit function theorem, Newton's method, analytic bifurcation theory, fixed-point theorems for multivalued mappings, nonexpansive and condensing operators, mapping degree and fixed-point index and their applications, analytic maps, and asymptotic fixed-point theorems. The book contains numerous applications to such areas as ordinary and partial differential equations, integral equations, and game theory. Many exercises and a comprehensive bibliography complement the text.

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