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An Invitation to Computational Homotopy

Graham Ellis

13 August 2019

ISBN: 9780198832980

550 pages
Paperback
234x156mm

In Stock

Price: £55.00

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.

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Description

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 book covers a range of material in a way that hints at potential applications of topology in areas of computer science and engineering outside the usual territory of pure mathematics
  • Each chapter contains a selection of fully worked computational examples together with corresponding computational exercises
  • The book is accompanied by the author's Homological Algebra Programming (HAP) software package which is available as part of the open source GAP system for computational algebra

About the Author(s)

Graham Ellis, Professor of Mathematics, National University of Ireland, Galway

Graham Ellis received his PhD from the University of Wales, Bangor, in 1984 and has taught at the National University of Ireland, Galway since 1987. He is the Established Professor of Mathematics at Galway. He has published research articles on computational algebra, group theory and low-dimensional topology.

Table of Contents

    1:Path components and the fundamental group
    2:Cellular homology
    3:Cohomology of groups
    4:Cohomological group theory
    5:Cohomology of homotopy 2-types
    6:Explicit classifying spaces

Reviews

"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." - Graham Ellis, Mathematical Reviews

"The book is well equipped with exercises...providing a widespread of approaches to the material in the book.this book is definitely one I appreciate having read, and one that I can see myself recommending to students who already wish to go into something related to group theory." - Mikael Vejdemo-Johansson, Assistant Professor of Data Science at CUNY College of Staten Island, Mathematical Association of America

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