An Invitation to Computational Homotopy

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.

Auteur
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.

Texte du rabat

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.

Contenu

• 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