{"product_id":"9783642231742","title":"Mathematics and Visualization: Theory, Algorithms, and Applications","description":"\u003ch1\u003eMathematics and Visualization: Theory, Algorithms, and Applications\u003c\/h1\u003e \u003ch2\u003ePeikert, Ronald; Hauser, Helwig; Carr, Hamish; Fuchs, Raphael\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eWhen scientists analyze datasets in a search for underlying phenomena, patterns or causal factors, their first step is often an automatic or semi-automatic search for structures in the data. Of these feature-extraction methods, topological ones stand out due to their solid mathematical foundation. Topologically defined structures—as found in scalar, vector and tensor fields—have proven their merit in a wide range of scientific domains, and scientists have found them to be revealing in subjects such as physics, engineering, and medicine.\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003eFull of state-of-the-art research and contemporary hot topics in the subject, this volume is a selection of peer-reviewed papers originally presented at the fourth Workshop on Topology-Based Methods in Data Analysis and Visualization, TopoInVis 2011, held in Zurich, Switzerland. The workshop brought together many of the leading lights in the field for a mixture of formal presentations and discussion. One topic currently generating a great deal of interest, and explored in several chapters here, is the search for topological structures in time-dependent flows, and their relationship with Lagrangian coherent structures. Contributors also focus on discrete topologies of scalar and vector fields, and on persistence-based simplification, among other issues of note. The new research results included in this volume relate to all three key areas in data analysis—theory, algorithms and applications.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2012-01-25\u003c\/p\u003e \u003cp\u003eFormat: Hardcover\u003c\/p\u003e \u003cp\u003eISBN-13: 9783642231742\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-642-23175-9\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 299\u003c\/p\u003e ","brand":"Springer Berlin Heidelberg","offers":[{"title":"Default Title","offer_id":45578516463756,"sku":"9783642231742","price":143.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783642231742.jpg?v=1775739710","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783642231742","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}