Robert Ghrist
Elementary Applied Topology
- ISBN 13:
- 9781502880857
- author:
- Robert Ghrist
- format:
- Paperback
- publisher:
- CreateSpace Independent Publishing Platform 1 edition
- language:
- English
- Publication Year:
- 2014
- Pages:
- 276
- Dimensions:
- 17 x 1.6 x 24.4 cm
- Genre:
- Science & Nature, Mathematics, Geometry & Topology, Robert Ghrist,Elementary Applied Topology,CreateSpace Independent Publishing Platform,1502880857,Mathematics,Science/Mathematics,Mathematics / Topology,Topology,Topology - General
- Condition:
- New
- Availability:
- Item usually sent within 7 working days
Description
This introduction to Applied Topology provides a fresh approach to understanding the mathematics behind this field. It covers key concepts such as manifolds and cell complexes, before moving on to algebraic topology using the Euler characteristic and Euler calculus.
The book then explores homology, exact sequences, and cohomology, setting the stage for more advanced topics like modern Morse theory, sheaf theory, and category theory. Each of these tools is paired with real-world applications across various scientific disciplines.
From topological data analysis to biological and economic applications, this comprehensive text provides a thorough understanding of Applied Algebraic Topology. It's an ideal resource for students of mathematical sciences looking for a clear and engaging introduction to the subject.
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