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Advances in applied and computational topology : American Mathematical Society Short Course on Computational Topology, January 4-5, 2011, New Orleans, Louisiana /

Bibliographic Details
Corporate Author: American Mathematical Society. Short Course on Computational Topology
Other Authors: Zomorodian, Afra J., 1974-
Format: Book
Language:English
Published: Providence, R.I. : American Mathematical Society, [2012]
Series:Proceedings of symposia in applied mathematics ; v. 70.
Proceedings of symposia in applied mathematics. AMS short course lecture notes.
Subjects:
Algebra, Homological > Congresses.
Homology theory > Congresses.
Ergodic theory > Congresses.
Algebraic topology > Homology and cohomology theories > Other homology theories.
Algebraic topology > Applied homological algebra and category theory > Abstract complexes.
Algebraic topology > Explicit machine computation and programs (not the theory of computation or programming)
Dynamical systems and ergodic theory > Topological dynamics > Index theory, Morse-Conley indices.
Dynamical systems and ergodic theory > Approximation methods and numerical treatment of dynamical systems > None of the above, but in this section.
Dynamical systems and ergodic theory > Dynamical systems with hyperbolic behavior > Strange attractors, chaotic dynamics.
Algebraic topology > Homology and cohomology theories > Sheaf cohomology.
Differential geometry > Global differential geometry > Integral geometry.
Computer science > Artificial intelligence > Reasoning under uncertainty.
Computer science > Artificial intelligence > Robotics.
Computer science > Algorithms > Nonnumerical algorithms.
Computer science > Theory of computing > Analysis of algorithms and problem complexity.
Table of Contents:
  • Topological data analysis / Afra Zomorodian
  • Topological dynamics : rigorous numerics via cubical homology / Marian Mrozek
  • Euler calculus with applications to signals and sensing / Justin Curry, Robert Ghrist, and Michael Robinson
  • On the topology of discrete planning with uncertainty / Michael Erdmann
  • Combinatorial optimization of cycles and bases / Jeff Erickson.