An Invitation to Computational Homotopy

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An Invitation to Computational Homotopy is an introduction to elementary algebraic topology for those with an interest in computers and computer programming. It expertly illustrates how the basics of the subject can be implemented on a computer through its focus on fully-worked examples
designed to develop problem solving techniques.

The transition from basic theory to practical computation raises a range of non-trivial algorithmic issues which will appeal to readers already familiar with basic theory and who are interested in developing computational aspects. The book covers a subset of standard introductory material on
fundamental groups, covering spaces, homology, cohomology and classifying spaces as well as some less standard material on crossed modules.

These topics are covered in a way that hints at potential applications of topology in areas of computer science and engineering outside the usual territory of pure mathematics, and also in a way that demonstrates how computers can be used to perform explicit calculations within the domain of pure
algebraic topology itself. The initial chapters include in-depth examples from data mining, biology and digital image analysis, while the later chapters cover a range of computational examples on the cohomology of classifying spaces that are likely beyond the reach of a purely paper-and-pen approach
to the subject.

An Invitation to Computational Homotopy serves as a self-contained and informal introduction to these topics and their implementation in the sphere of computer science. Written in a dynamic and engaging style, it skilfully showcases a range of useful machine computations, and will serve as an
invaluable aid to graduate students working with algebraic topology.

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بستن

فرمت کتاب

ebook

زبان

english

تاریخ انتشار

2019

نویسنده

Graham Ellis

ناشر

Oxford University Press, USA

شابک

9780198832980

20,000 تومان

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An Invitation to Computational Homotopy

گزارش تخلف

فرمت کتاب

ebook

زبان

english

تاریخ انتشار

2019

نویسنده

ناشر

شابک

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