Morse Theory: Smooth And Discrete

Inbunden, Engelska, 2015

Av Kevin P Knudson, Usa) Knudson, Kevin P (Univ Of Florida, Kevin P. Knudson, KNUDSON KEVIN P, Knudson Kevin P

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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.

Produktinformation

Utgivningsdatum2015-07-24
Mått255 x 174 x 18 mm
Vikt556 g
FormatInbunden
SpråkEngelska
Antal sidor196
FörlagWorld Scientific Publishing Co Pte Ltd
ISBN9789814630962

Tillhör följande kategorier

Matematik inom Naturvetenskap och teknik
Topologi inom Naturvetenskap och teknik
Diskret matematik inom Naturvetenskap och teknik

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;