Algorithmic and Computer Methods for Three-Manifolds: 425 (Mathematics and Its Applications, 425) - Hardcover

Fomenko, A.T.; Matveev, S.V.

Hardcover

ISBN 10: 0792347706 ISBN 13: 9780792347705

Publisher: Springer, 1997

Synopsis

One service mathematics has rendered the human race. It has put common sense back where it belongs. It has put common sense back where it belongs, on the topmost shelf next to the dusty canister labelled discarded nonsense. Eric TBell Every picture tells a story. Advenisement for for Sloan's backache and kidney oils, 1907 The book you have in your hands as you are reading this, is a text on3-dimensional topology. It can serve as a pretty comprehensive text book on the subject. On the other hand, it frequently gets to the frontiers of current research in the topic. If pressed, I would initially classify it as a monograph, but, thanks to the over three hundred illustrations of the geometrical ideas involved, as a rather accessible one, and hence suitable for advanced classes. The style is somewhat informal; more or less like orally presented lectures, and the illustrations more than make up for all the visual aids and handwaving one has at one's command during an actual presentation.

About this title

Review

`I really enjoyed this book; it is great fun and full of enthusiasm for the subject. ... Furthermore, there are some excellent figures, which bring the book to life and often show really clearly what is going on.'
Bulletin of the London Mathematical Society, 32 (2000)
`This book is an attractive and comprehensive introduction to three-dimensional topology. The book is readable and inviting. Its many illustrations make it particularly accessible. This book promises to be a valuable text and reference for an exciting area of mathematics.'
SIAM Review, 41:2 (1999)

Synopsis

This monograph presents a comprehensive coverage of three-dimensional topology, as well as exploring some of its frontiers. Many important applied problems of mechanics and theoretical physics can be reduced to algorithmic problems of three-dimensional topology, which can then be solved using computers. Although much progress in this field has been made in recent years, these results have not been readily accessible to a wider audience up to now. This book is based on courses the authors have given over several years, and summarizes the most outstanding achievements of modern computer topology. Audience: This book will be of interest to graduate students and researchers whose work involves such diverse disciplines as physics, mathematics, computer programs for spline theory and its applications, geometrical modeling, geometry, and topology. The illustrations by A.T. Fomenko, drawn especially for this work, add great value and extra appeal.

Edition details

• Publisher: Springer
• Publication date: 1997
• Language: English
• ISBN 10: 0792347706
• ISBN 13: 9780792347705
• Binding: Hardcover
• Number of pages: 349