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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. This book is based on courses the authors have given over several years, and summarizes the achievements of computer topology. Full Product DetailsAuthor: A.T. Fomenko , S.V. Matveev , A. T. FomenkoPublisher: Springer Imprint: Springer Edition: 1997 ed. Volume: 425 Dimensions: Width: 15.60cm , Height: 2.00cm , Length: 23.40cm Weight: 1.490kg ISBN: 9780792347705ISBN 10: 0792347706 Pages: 337 Publication Date: 31 October 1997 Audience: College/higher education , Professional and scholarly , Undergraduate , Postgraduate, Research & Scholarly Format: Hardback Publisher's Status: Active Availability: In Print ![]() This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. 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) '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 |