TY - BOOK AU - Zomorodian,Afra J. ED - American Mathematical Society. TI - Advances in applied and computational topology: American Mathematical Society Short Course on Computational Topology, January 4-5, 2011, New Orleans, Louisiana T2 - Proceedings of symposia in applied mathematics, SN - 9780821889978 (online) AV - QA169 .A475 2011 U1 - 514 23 PY - 2012/// CY - Providence, R.I. PB - American Mathematical Society KW - Algebra, Homological KW - Congresses KW - Homology theory KW - Ergodic theory KW - Algebraic topology -- Homology and cohomology theories -- Other homology theories KW - msc KW - Algebraic topology -- Applied homological algebra and category theory -- Abstract complexes KW - Algebraic topology -- Explicit machine computation and programs (not the theory of computation or programming) KW - Dynamical systems and ergodic theory -- Topological dynamics -- Index theory, Morse-Conley indices KW - Dynamical systems and ergodic theory -- Approximation methods and numerical treatment of dynamical systems -- None of the above, but in this section KW - Dynamical systems and ergodic theory -- Dynamical systems with hyperbolic behavior -- Strange attractors, chaotic dynamics KW - Algebraic topology -- Homology and cohomology theories -- Sheaf cohomology KW - Differential geometry -- Global differential geometry -- Integral geometry KW - Computer science -- Artificial intelligence -- Reasoning under uncertainty KW - Computer science -- Artificial intelligence -- Robotics KW - Computer science -- Algorithms -- Nonnumerical algorithms KW - Computer science -- Theory of computing -- Analysis of algorithms and problem complexity N1 - Includes bibliographical references and index; Topological data analysis; Afra Zomorodian --; http://www.ams.org/psapm/070; http://dx.doi.org/10.1090/psapm/070/587; Topological dynamics: Rigorous numerics via cubical homology; Marian Mrozek --; http://www.ams.org/psapm/070; http://dx.doi.org/10.1090/psapm/070/588; Euler calculus with applications to signals and sensing; Justin Curry, Robert Ghrist and Michael Robinson --; http://www.ams.org/psapm/070; http://dx.doi.org/10.1090/psapm/070/589; On the topology of discrete planning with uncertainty; Michael Erdmann --; http://www.ams.org/psapm/070; http://dx.doi.org/10.1090/psapm/070/590; Combinatorial optimization of cycles and bases; Jeff Erickson --; http://www.ams.org/psapm/070; http://dx.doi.org/10.1090/psapm/070/591; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012 UR - http://www.ams.org/psapm/070 UR - http://dx.doi.org/10.1090/psapm/070 ER -