Algebraic Topology
A Toolkit
Seiten
2024
|
1. Auflage
De Gruyter (Verlag)
978-3-11-101481-4 (ISBN)
De Gruyter (Verlag)
978-3-11-101481-4 (ISBN)
Lese- und Medienproben
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.
Zielgruppe: Graduate students studying mathematics, as algebraic topology is a required course.
- 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: 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 |
| 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 |
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