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Presents the trends in topological fixed point theory. This book is useful for post-graduate students and researchers interested in the fixed point theory, particularly in topological methods in nonlinear analysis, differential equations and dynamical systems.

Fixed point theory --- Topology. --- Analysis situs --- Position analysis --- Rubber-sheet geometry --- Geometry --- Polyhedra --- Set theory --- Algebras, Linear --- Fixed point theorems (Topology) --- Nonlinear operators --- Coincidence theory (Mathematics) --- Differential Equations. --- Differential equations, partial. --- Algebraic topology. --- Ordinary Differential Equations. --- Partial Differential Equations. --- Algebraic Topology. --- Topology --- Partial differential equations --- 517.91 Differential equations --- Differential equations --- Differential equations. --- Partial differential equations.

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1 SCHELLING, FRIEDRICH WILHELM JOSEPH --- Filosofie. Psychologie--SCHELLING, FRIEDRICH WILHELM JOSEPH --- Bohme, Jakob --- Schelling, Friedrich Wilhelm Joseph von --- 1 SCHELLING, FRIEDRICH WILHELM JOSEPH Filosofie. Psychologie--SCHELLING, FRIEDRICH WILHELM JOSEPH --- God --- Metaphysics --- Misotheism --- Monotheism --- Religion --- Theism --- Böhme, Jakob, --- Schelling, Friedrich Wilhelm Joseph von, --- Schelling, F. W. J. --- Schelling, Friedrich Wilhelm Joseph --- Schelling, Federico Guillermo José --- Böhme, Giacomo, --- Boehme, Jacob, --- Böhme, Jacob, --- Boehm, Jacob, --- Behmen, Jacob, --- Behme, Jacob, --- Behm, Jacob, --- Teutonicus, --- Teutonicus Philosophus, --- I. B. T., --- T., I. B., --- I. B., --- B., I., --- Teut, I. B., --- A. S., --- S., A., --- Boehme, Jakub, --- Boehme, Jakob, --- von Schelling, Friedrich Wilhelm Joseph --- Böhme, Jakob --- Böhme, Giacomo --- Böhme, Jacob --- Boehme, Jacob --- Böhme, Jacob --- Boehm, Jacob --- Behmen, Jacob --- Behme, Jacob --- Behm, Jacob --- Teutonicus --- Teutonicus Philosophus --- I. B. T. --- T., I. B. --- I. B. --- B., I. --- Teut, I. B. --- A. S. --- S., A. --- Boehme, Jakub --- Boehme, Jakob

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This third edition of A Topological Introduction to Nonlinear Analysis is addressed to the mathematician or graduate student of mathematics - or even the well-prepared undergraduate - who would like, with a minimum of background and preparation, to understand some of the beautiful results at the heart of nonlinear analysis. Based on carefully-expounded ideas from several branches of topology, and illustrated by a wealth of figures that attest to the geometric nature of the exposition, the book will be of immense help in providing its readers with an understanding of the mathematics of the nonlinear phenomena that characterize our real world. For this third edition, several new chapters present the fixed point index and its applications. The exposition and mathematical content is improved throughout. This book is ideal for self-study for mathematicians and students interested in such areas of geometric and algebraic topology, functional analysis, differential equations, and applied mathematics. It is a sharply focused and highly readable view of nonlinear analysis by a practicing topologist who has seen a clear path to understanding. "For the topology-minded reader, the book indeed has a lot to offer:  written in a very personal, eloquent and instructive style it makes  one of the highlights of nonlinear analysis accessible to a wide audience."-Monatshefte fur Mathematik (2006).

Mathematics. --- Functional analysis. --- Differential equations. --- Partial differential equations. --- Topology. --- Functional Analysis. --- Ordinary Differential Equations. --- Partial Differential Equations. --- Differential Equations. --- Differential equations, partial. --- Analysis situs --- Position analysis --- Rubber-sheet geometry --- Geometry --- Polyhedra --- Set theory --- Algebras, Linear --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Partial differential equations --- 517.91 Differential equations --- Differential equations --- Nonlinear theories. --- Nonlinear functional analysis. --- Differential equations, Partial.

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Isaacs, John

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