1  9
 Zomorodian, Afra J., 1974
 Cambridge, UK ; New York : Cambridge University Press, 2005.
 Description
 Book — xiii, 243 p. : ill. (some col.).
 Summary

 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 MorseSmale algorithm
 10. The linking number algorithm
 Part III. Applications: 11. Software
 12. Experiments
 13. Applications.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Lins, Sóstenes.
 Singapore ; River Edge, N.J. : World Scientific Pub. Co., c1995.
 Description
 Book — xiv, 450 p. : ill.
 Summary

 Part 1 Basic theory: Egraphs  special celldecomposition of 2manifolds
 crystallizations  the FerriGagliardi moves
 diagrams of Egraphs 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 3gems: the "planar" class and lens spaces
 gists  special symmetries on 3manifolds. Part 5 Theory for a catalogue of 3gems: shortcuts for inserting the 4th colour
 the TSmoves and the Umove. Appendices: all 3gems up to 28 vertices. (Part Contents).
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
3. Topology for computing [2005]
 Zomorodian, Afra J., 1974
 Cambridge, UK ; New York : Cambridge University Press, 2005.
 Description
 Book — xiii, 243 p. : ill. (some col.) ; 24 cm.
 Summary

 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 MorseSmale algorithm
 10. The linking number algorithm
 Part III. Applications: 11. Software
 12. Experiments
 13. Applications.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA611 .Z65 2005  CHECKEDOUT Request 
4. Computers in geometry and topology [1989]
 New York : M. Dekker, c1989.
 Description
 Book — viii, 317 p. : ill. ; 25 cm.
 Online
SAL3 (offcampus storage)
SAL3 (offcampus storage)  Status 

Stacks  Request (opens in new tab) 
QA448 .D38 C67 1989  Available 
5. Topological dynamics and topological data analysis : IWCTA 2018, Kochi, India, December 911 [2021]
 International Workshop and Conference on Topology and Applications (2018 : Cochin, India)
 Singapore : Springer, [2021]
 Description
 Book — 1 online resource : illustrations (some color)
 Summary

 H. Bruin, An Overview of Unimodal Inverse Limit Spaces. B. Barany, M. Rams, K. Simon, Dimension Theory of Some Non Markovian Rapellers Part I: A General Introduction. B. Barany, M. Rams, K. Simon, Dimension Theory of Some Non Markovian Repellers: Part II: Dynamically Defined Function Graphs. K. Lesniak, Iterated Function Systems  A Topological Approach Attractors. H. Kato, Zero Dimensional Covers of Dynamical Systems. H. Kato, Chaotic Continua in Chaotic Dynamical Systems. R. L. Devaney, S. M. Marotta, Mandelpinski Necklaces in the Parameter Planes of Rational Maps. Kit C Chan, Some Examples of Hypercyclic Operators and Universal Sequences of Operators. Kit C Chan, Some Basic Properties of Hypercyclic Operators. Kit C Chan, The Testing Ground of Weighted Shift Operators for Hypercyclicity. D. Drozdov, M. Samuel, A. Tetenov, On deformations of Polygonal Dendrites. A. Tetenov, K. Kamalutdinov, V. Aseev, General Position Theorems and its Applications. A. Raj P, V. Kumar P B, The nth iterate of a map with dense orbit. Aswathy R K, S. Mathew, Finite Products of Irregular Iterated Function Systems and Their Separation Properties. A. Akbar, Mubeena T, Periodic Points of Ndimensional Toral Automorphisms. S. Jose, V. Kumar P B, Julia Sets in Topological Spaces. K U Sreeja, V. Kumar P B, Ramkumar P B, Julia, Sets of Some Graphs Using Independence Polynomials. P. Frosini, An Introduction to the Notion of Natural Pseudo Distance in Topological Data Analysis. A. Cerri, P. Frosini, A Brief Introduction to Multidimensional Persistent Betti Numbers. N. Quercioli, Some New Methods to Build Group Equivariant Non Expansive Operators in TDA. Y. Dabaghian, Topological Stability of the Hippocampal Spatial Map and Synaptic Transience. A. Jacob, Ramkumar P B, Intuitionistic Fuzzy Graph Morphological Topology. A. G. Pillai, Ramkumar P B, Some Properties of the Bitopological Space Associated with the 3Uniform Semigraph of Cycle graph. D. Chandran R, Ramkumar P B, Hypergraph Topology.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
6. Computational topology : an introduction [2010]
 Edelsbrunner, Herbert.
 Providence, R.I. : American Mathematical Society, c2010.
 Description
 Book — xii, 241 p. : ill. ; 27 cm.
 Summary

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)
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA611 .E353 2010  Unknown 
7. Research in computational topology 2 [2022]
 Cham, Switzerland : Springer, 2022.
 Description
 Book — 1 online resource.
 Summary

 The Persistent Homology of Dual Digital Image Constructions (V. Robins). Morsebased Fibering of the Persistence Rank Invariant (C. Landi). Local Versus Global Distances for Zigzag and Multi Parameter Persistence Modules (E. Gasparovic). Tiletransitive tilings of the Euclidean and hyperbolic planes by ribbons (V. Robins). Graph Pseudometrics from a Topological Point of View (J. Tan). Nerve theorems for fixed points of neural networks (C. Curto). Combinatorial Conditions for Directed Collapsing (T. Fasy). Lions and contamination, triangular grids, and Cheeger constants (L. Gibson). A Topological Approach for Motion Track Discrimination (S. Tymochko). Persistent topology of protein space (W. Hamilton). Mappering Mecklenburg County: Exploring Census data for potential communities of interest (M. Thatcher). Stitch Fix for Mapper and Topological Gains (B. Wang).
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Steppig, Michael.
 [S.l.] : PACKT PUBLISHING LIMITED, 2023.
 Description
 Book — 1 online resource
 Summary

 Table of Contents Navigating and Modeling in Blender The Fundamentals of Topology Deforming Topology Improving Topology Using UV Maps Topology on a Humanoid Head Topology on a Humanoid Body Topology on a Hard Surface Optimizing Geometry for a Reduced Triangle Count.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
9. Research in computational topology [2018]
 Cham, Switzerland : Springer, [2018]
 Description
 Book — 1 online resource Digital: text file.PDF.
 Summary

 Preface. The Rank Invariant Stability via Interleavings (Claudia Landi). Persistent Homology Over Directed Acyclic Graphs (Erin Wolf Chambers and David Letscher). A Complete Characterization of the 1Dimensional Intrinsic Cech Persistence Diagrams for Metric Graphs (Ellen Gasparovic, Maria Gommel, et al). Comparing Directed and Weighted Road Maps (Alyson Bittner, Brittany Terese Fasy, et al). Sweeping Costs of Planar Domains (Brooks Adams, Henry Adams, and Colin Roberts). Scaffoldings and Spines: Organizing HighDimensional Data Using Cover Trees, Local Principal Component Analysis, and Persistent Homology (Paul Bendich, Ellen Gasparovic, et al). Density of local maxima of the distance function to a set of points in the plane (Nina Amenta, Erin Chambers, et al). Mind the Gap: A Study in Global Development through Persistent Homology (Andrew Banman and Lori Ziegelmeier). Cluster Identification via Persistent Homology and other Clustering Techniques, with Application to Liver Transplant Data (Berhanu A. Wubie, Axel Andres, et al). Pseudomultidimensional persistence and its applications (Catalina Betancourt, Mathieu Chalifour, et al).
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
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