1. Topology for computing [2005]
- Book
- xiii, 243 p. : ill. (some col.) ; 24 cm.
- 1. Introduction-- Part I. Mathematics: 2. Spaces and filtrations-- 3. Group theory-- 4. Homology-- 5. Morse theory-- 6. New results-- Part II. Algorithms: 7. The persistence algorithms-- 8. Topological simplification-- 9. The Morse-Smale algorithm-- 10. The linking number algorithm-- Part III. Applications: 11. Software-- 12. Experiments-- 13. Applications.
- (source: Nielsen Book Data)9780521836661 20160528
(source: Nielsen Book Data)9780521836661 20160528
- 1. Introduction-- Part I. Mathematics: 2. Spaces and filtrations-- 3. Group theory-- 4. Homology-- 5. Morse theory-- 6. New results-- Part II. Algorithms: 7. The persistence algorithms-- 8. Topological simplification-- 9. The Morse-Smale algorithm-- 10. The linking number algorithm-- Part III. Applications: 11. Software-- 12. Experiments-- 13. Applications.
- (source: Nielsen Book Data)9780521836661 20160528
(source: Nielsen Book Data)9780521836661 20160528
www.myilibrary.com MyiLibrary
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Science Library (Li and Ma)
Science Library (Li and Ma) | Status |
---|---|
Stacks | |
QA611 .Z65 2005 | Unknown |
- Book
- xiv, 450 p. : ill.
- Part 1 Basic theory: E-graphs - special cell-decomposition of 2-manifolds-- crystallizations - the Ferri-Gagliardi moves-- diagrams of E-graphs and Ferri's switching lemma. Part 2 Generating surgery moves: quadricolours, hinges, commuters-- relations among the generating moves-- connections with Lickorish's construction. Part 3 Invariants: the fundamental and the homology groups-- the vertex group ... is there something new here?-- linking invariants. Part 4 Classes of 3-gems: the "planar" class and lens spaces-- gists - special symmetries on 3-manifolds. Part 5 Theory for a catalogue of 3-gems: shortcuts for inserting the 4th colour-- the TS-moves and the U-move. Appendices: all 3-gems up to 28 vertices. (Part Contents).
- (source: Nielsen Book Data)9789810219079 20160614
(source: Nielsen Book Data)9789810219079 20160614
- Part 1 Basic theory: E-graphs - special cell-decomposition of 2-manifolds-- crystallizations - the Ferri-Gagliardi moves-- diagrams of E-graphs and Ferri's switching lemma. Part 2 Generating surgery moves: quadricolours, hinges, commuters-- relations among the generating moves-- connections with Lickorish's construction. Part 3 Invariants: the fundamental and the homology groups-- the vertex group ... is there something new here?-- linking invariants. Part 4 Classes of 3-gems: the "planar" class and lens spaces-- gists - special symmetries on 3-manifolds. Part 5 Theory for a catalogue of 3-gems: shortcuts for inserting the 4th colour-- the TS-moves and the U-move. Appendices: all 3-gems up to 28 vertices. (Part Contents).
- (source: Nielsen Book Data)9789810219079 20160614
(source: Nielsen Book Data)9789810219079 20160614
3. Computational topology : an introduction [2010]
- Book
- xii, 241 p. : ill. ; 27 cm.
Combining concepts from topology and algorithms, this book delivers what its title promises: an introduction to the field of computational topology. Starting with motivating problems in both mathematics and computer science and building up from classic topics in geometric and algebraic topology, the third part of the text advances to persistent homology. This point of view is critically important in turning a mostly theoretical field of mathematics into one that is relevant to a multitude of disciplines in the sciences and engineering. The main approach is the discovery of topology through algorithms. The book is ideal for teaching a graduate or advanced undergraduate course in computational topology, as it develops all the background of both the mathematical and algorithmic aspects of the subject from first principles. Thus the text could serve equally well in a course taught in a mathematics department or computer science department.
(source: Nielsen Book Data)9780821849255 20160604
(source: Nielsen Book Data)9780821849255 20160604
Combining concepts from topology and algorithms, this book delivers what its title promises: an introduction to the field of computational topology. Starting with motivating problems in both mathematics and computer science and building up from classic topics in geometric and algebraic topology, the third part of the text advances to persistent homology. This point of view is critically important in turning a mostly theoretical field of mathematics into one that is relevant to a multitude of disciplines in the sciences and engineering. The main approach is the discovery of topology through algorithms. The book is ideal for teaching a graduate or advanced undergraduate course in computational topology, as it develops all the background of both the mathematical and algorithmic aspects of the subject from first principles. Thus the text could serve equally well in a course taught in a mathematics department or computer science department.
(source: Nielsen Book Data)9780821849255 20160604
(source: Nielsen Book Data)9780821849255 20160604
Science Library (Li and Ma)
Science Library (Li and Ma) | Status |
---|---|
Stacks | |
QA611 .E353 2010 | Unavailable Checked out - Overdue Request |
4. Computers in geometry and topology [1989]
- Book
- viii, 317 p. : ill. ; 25 cm.
SAL3 (off-campus storage)
SAL3 (off-campus storage) | Status |
---|---|
Stacks | Request |
QA448 .D38 C67 1989 | Available |
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