Overview

Morse Theory: Smooth and Discrete serves as an introduction to classical smooth Morse theory and to Forman's discrete Morse theory, highlighting the parallels between the two subjects. This is the first time both smooth and discrete Morse theory have been treated in a single volume. This makes the book a valuable resource for students and professionals working in topology and discrete mathematics. With a strong focus on examples, the text is suitable for advanced undergraduates or beginning graduate students.

Full Product Details

Author:   Kevin P Knudson (Univ Of Florida, Usa)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
Dimensions:   Width: 16.50cm , Height: 2.00cm , Length: 24.90cm
Weight:   0.590kg
ISBN:  

9789814630962

ISBN 10:   9814630969
Pages:   196
Publication Date:   24 July 2015
Audience:   College/higher education ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Smooth Morse Theory: First Steps (Surfaces, Critical Points); Fundamental Results (Morse Lemma, Existence, Gradient-Like Vector Fields); Topological Consequences (Homotopy Type, Morse Inequalities); Discrete Morse Theory: First Steps (Definitions and Examples); Fundamental Results (Existence, Gradients); Topological Consequences (Homotopy Type, Collapses); Algorithms (Constructing Discrete Morse Functions); Appendices: Smooth Manifolds; Simplicial Complexes;

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