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Topological Degree: Theory and Applications

Topological Degree: Theory and Applications

Paperback

General Mathematics

ISBN10: 6209423701
ISBN13: 9786209423703
Publisher: LAP Lambert Academic Publishing
Published: Jan 14 2026
Pages: 68
Weight: 0.23
Height: 0.16 Width: 6.00 Depth: 9.00
Language: English
The book presents the theory of topological degree as a tool for stably counting the solutions of nonlinear equations while taking orientation into account.It first develops the Brouwer degree in finite dimensions, establishes its properties (axioms, homotopy invariance, stability), and uses it to prove topological results such as Brouwer's fixed point theorem and the non-retractability of the sphere.The theory is then extended to the infinite-dimensional setting through the Leray-Schauder degree for compact operators, leading to general fixed point theorems and existence results for boundary value problems in ordinary and partial differential equations.

Also from

Biroud, Kheireddine

Also in

General Mathematics