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Algebraic Topology

A Toolkit

Lehrbuch Studium

Kevin P. Knudson (Autor)

Buch | Softcover

XIV, 248 Seiten

2024 | 1. Auflage
De Gruyter (Verlag)
978-3-11-101481-4 (ISBN)

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Vorwort (PDF)
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This book is ideal as an introduction to algebraic topology and applied algebraic topology featuring a streamlined approach including coverage of basic categorical notions, simplicial, cellular, and singular homology, persistent homology, cohomology groups, cup products, Poincare Duality, homotopy theory, and spectral sequences. The focus is on examples and computations, and there are many end of chapter exercises and extensive student projects.

Focuses on (co)homology and its computation with a large collection of examples.
Covers topics such as persistent homology and basic topological data analysis.
Provides many exercises and extended projects to engage students in deeper study.

Zielgruppe:
Zielgruppe: Graduate students studying mathematics, as algebraic topology is a required course.

Kevin P. Knudson, University of Florida, USA.

Erscheinungsdatum	25.07.2024
Reihe/Serie	De Gruyter Textbook
Zusatzinfo	30 b/w and 24 col. ill.
Verlagsort	Berlin/Boston
Sprache	englisch
Maße	170 x 240 mm
Gewicht	451 g
Einbandart	kartoniert
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Schlagworte	algebraic topology • Algebraische Topologie • cohomology and duality • continuous maps and homotopy • Homologie • Homology • Homotopie • homotopy and spectral sequences. • Kohomologie und Dualität • Spektrale Sequenzen
ISBN-10	3-11-101481-9 / 3111014819
ISBN-13	978-3-11-101481-4 / 9783111014814
Zustand	Neuware