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Topological Degree: Theory and Applications

By Kheireddine Biroud

Topological Degree: Theory and Applications

By Kheireddine Biroud

0 - Default Title
Description
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.
Product details
Binding:
Paperback
Number of Pages:
68
Release Date:
2026-01-14
Publication Date:
2026-01-14
Publisher:
LAP LAMBERT Academic Publishing
Languages:
Original: English
ISBN10:
6209423701
ISBN13:
9786209423703
Weight:
119 g
Height:
150 cm
Width:
220 cm
Thickness:
5 cm
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