Algorithmic Topology and Classification of 3-Manifolds. [Algorithms and Computation in Mathematics, Vol. 9].
Language: English
Published by Springer, 2003
Series: Book 14 of 24 - Algorithms and Computation in Mathematics
- Hardcover
- Used
Seller: Antiquariat Thomas Haker GmbH & Co. KG, Berlin, GermanyAntiquariat Thomas Haker GmbH & Co. KG
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Condition: Used - Fine
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490 p. Very good. Shrink wrapped. / Sehr guter Zustand. In Folie verschweißt. Sprache: Englisch Gewicht in Gramm: 1231.
Seller Inventory # 829104
- Title
- Algorithmic Topology and Classification of 3-Manifolds. [Algorithms and Computation in Mathematics, Vol. 9].
- Author
- Matveev, Sergei:
- Publisher
- Springer
- Publication year
- 2003
- Condition
- Sehr gut
- Binding
- Hardcover/Pappeinband
- Language
- English
- ISBN 10
- 3540441719
- ISBN 13
- 9783540441717
- Item weight
- 1,231 grams
- Series
- Book 14 of 24: Algorithms and Computation in Mathematics
- Seller catalogs
- Mathematik
"Synopsis" may belong to another edition of this title.
Review
"This book provides a comprehensive and detailed account of different topics in algorithmic 3-dimensiona] topology, culminating with the recognition procedure for Haken manifolds and including the up-to-date results in Computer enumeration of 3-manifolds. Originating from lecture notes of various courses given by the author over a decade, the book is intended to combine the pedagogical approach of a graduate textbook (without exercises) with the completeness and reliability of a research monograph. This motivates the about 400 pages length of the main text.
All the material, with few exceptions, is presented froni the peculiar point of view of special polyhedra and special spines of 3-manifolds. This choice contributes to keep the level of the exposilion really elementary. ???.
In conclusion, the reviewer subscribes to the quotation from the back cover: "the book fills a gap in the existing literature and will become a standard reference for algorithmic 3-dimensional topology both for graduate students and researchers."
Riccardo Piergallini (Camerino), Zentralblatt f??r Mathematik 1048 (2004)
"The purpose of the book is to present a detailed overview of the algorithmis aspects of 3-manifold topology. As noted by the author, the book is largely self-contained, though basic topology and group theory are assumed. The book contains extensive references, as the author makes use of many statemants from primary sources, and a large number of figures that help the reader follow the exposition. On the whole, the book is well organized. ..."
James W. Anderson, Mathematical Reviews, Clippings from Issue 2004i
"Almost coincident with the 1985 publication ofthe first edition of Gerard Burde and Heiner Zieschang's otherwise magisterial Knots, V. Jones's revolutionary "polynomial invariants" blew that subject wide open. History now repeats itself. ... Just as Matveev ... provides a state-of-the-art fast track into all the mathematics surrounding the notorious Poincar?? ... conjecture, G. Perelman appears to have proved not only the Poincar?? conjecture, but the whole Thurston geometrization conjecture, holy grail of three-dimensional topology. ... Summing up: Recommended. Upper-division undergraduates through faculty."
D.V. Feldman, Choice - Current Reviews for College Libraries 2003
"This book provides a comprehensive and detailed account of different topics in algorithmic 3-dimensional topology ??? including the up-to-date results in computer enumeration of 3-manifolds. ??? Concerning the style the author succeeded to conform to the ground rules ??? as for completeness, modularity and clarity of the text. ??? the reviewer subscribes to the quotation from the back cover: ???the book fills a gap in the existing literature and will become a standard reference for algorithmic 3-dimensional topology both for graduate students and researchers.???"
(Riccardo Piergallini, Zentralblatt MATH, Vol. 1048, 2004)
"The purpose of this book is to present a detailed overview of the algorithmic aspects of 3-manifold topology. ??? The book contains extensive references, as the author makes use of many statements from primary sources and a large number of figures that help the reader follow the exposition. On the whole, the book is well organized."
(James W. Anderson, Mathematical Reviews, 2004 i)
"About the title" may belong to another edition of this title.
Antiquariat Thomas Haker GmbH & Co. KG
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