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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 by Afra Zomorodian, Afra Zomorodian (ed.) is a nonfiction available to read on EtoBox.
What is Advances in Applied and Computational Topology : American Mathematical Society Short Course on Computational Topology, January 4-5, 2011, New Orleans, Louisiana about?
What is the shape of data? How do we describe flows? Can we count by integrating? How do we plan with uncertainty? What is the most compact representation? These questions, while unrelated, become similar when recast into a computational setting. Our input is a set of finite, discrete, noisy samples that describes an abstract space. Our goal is to compute qualitative features of the unknown space. It turns out that topology is sufficiently tolerant to provide us with robust tools. This volume is based on lectures delivered at the 2011 AMS Short Course on Computational Topology, held January 4–5, 2011 in New Orleans, Louisiana. The aim of the volume is to provide a broad introduction to recent techniques from applied and computational topology. Afra Zomorodian focuses on topological data analysis via efficient construction of combinatorial structures and recent theories of persistence. Marian Mrozek analyzes asymptotic behavior of dynamical systems via efficient computation of cubical homology. Justin Curry, Robert Ghrist, and Michael Robinson present Euler Calculus, an integral calculus based on the Euler characteristic, and apply it to sensor and network data aggregation. Michael
Who reads Advances in Applied and Computational Topology : American Mathematical Society Short Course on Computational Topology, January 4-5, 2011, New Orleans, Louisiana?
It is typically read by self-directed learners exploring a subject in depth.
Common subject areas: history, science, philosophy, social sciences.
- Author
- Afra Zomorodian, Afra Zomorodian (ed.)
- Publisher
- American Mathematical Society
- Published
- 2012
- Language
- EN
- ISBN
- 9780821889978
- Category
- nonfiction
- Subjects
- Mathematics, Computer Science, Programming
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