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OverviewThis 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 summarises 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 programmes for spline theory and its applications, geometrical modelling, geometry, and topology. The illustrations by A.T. Fomenko, drawn especially for this work, add great value and extra appeal. Full Product DetailsAuthor: A.T. Fomenko , S.V. MatveevPublisher: Springer Imprint: Springer Edition: Softcover reprint of hardcover 1st ed. 1997 Volume: 425 Dimensions: Width: 17.00cm , Height: 1.80cm , Length: 24.40cm Weight: 0.608kg ISBN: 9789048149254ISBN 10: 9048149258 Pages: 337 Publication Date: 06 December 2010 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Out of stock  The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of Contents1. Preliminary information.- 2. Surfaces.- 3. The homeotopy group of a surface.- 4. The presentation of three-dimensional manifolds by the identification of faces of polyhedra.- 5. Heegaard splittings and Heegaard Diagrams.- 6. Algorithmic recognition of the sphere.- 7. Connected sums.- 8. Knots and links.- 9. Surgery Along Links.- 10. Seifert Manifolds.- 11. Class ?.- 12. The Haken Method.- Comments on the Figures.- References.Reviews`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) '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) Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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