Morse Theory of Gradient Flows, Concavity and Complexity on Manifolds with Boundary - Image 1

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Scientific Publishing Morse Theory of Gradient Flows, Concavity and Complexity on Manifolds with Boundary

Name: Morse Theory of Gradient Flows, Concavity and Complexity on Manifolds with Boundary
Brand: Scientific Publishing
Price: 88.61 GBP
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Vector & Tensor Analysis

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Description

This monograph is an account of the author's investigations of gradient vector flows on compact manifolds with boundary. Many mathematical structures and constructions in the book fit comfortably in the framework of Morse Theory and, more generally, of the Singularity Theory of smooth maps. The geometric and combinatorial structures, arising from the interactions of vector flows with the boundary of the manifold, are surprisingly rich. This geometric setting leads organically to many encounters with Singularity Theory, Combinatorics, Differential Topology, Differential Geometry, Dynamical Systems, and especially with the boundary value problems for ordinary differential equations. This diversity of connections animates the book and is the main motivation behind it. The book is divided into two parts. The first part describes the flows in three dimensions. It is more pictorial in nature. The second part deals with the multi-dimensional flows, and thus is more analytical. Each of the nine chapters starts with a description of its purpose and main results. This organization provides the reader with independent entrances into different chapters.

Product Specifications

Brand: Scientific Publishing
Format: hardcover
ASIN: 981436875X
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis > Vector & Tensor Analysis
Domain: Amazon UK
Release Date: 30 November 2016
Listed Since: 16 September 2011

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Scientific Publishing Morse Theory of Gradient Flows, Concavity and Complexity on Manifolds with Boundary

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