Advances in Applied and Computational Topology
Regular price
€122.99
Regular price
€126.99
Sale
Sale price
€122.99
14 days return policy
Shipping & Delivery
Age Group_Uncategorized
Age Group_Uncategorized
automatic-update
B01=Afra Zomorodian
Category1=Non-Fiction
Category=PBW
COP=United States
Delivery_Delivery within 10-20 working days
eq_isMigrated=0
eq_isMigrated=2
eq_nobargain
Language_English
PA=Available
Price_€100 and above
PS=Active
softlaunch
Product details
- ISBN 9780821853276
- Weight: 498g
- Publication Date: 30 Aug 2012
- Publisher: American Mathematical Society
- Publication City/Country: US
- Product Form: Hardback
- Language: English
Secure
checkout
Fast Shipping
Easy returns
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 Erdmann explores the relationship of topology, planning, and probability with the strategy complex. Jeff Erickson surveys algorithms and hardness results for topological optimization problems.
Afra Zomorodian, The D. E. Shaw Group, New York, NY, USA
