03055nam a22005415i 4500 978-3-319-05957-0 DE-He213 20210617064135.0 cr nn 008mamaa 140428s2014 gw | s |||| 0|eng d 9783319059570 978-3-319-05957-0 10.1007/978-3-319-05957-0 doi QA71-90 PDE bicssc COM014000 bisacsh PDE thema 004 23 Edelsbrunner, Herbert. author. aut http://id.loc.gov/vocabulary/relators/aut A Short Course in Computational Geometry and Topology [electronic resource] / by Herbert Edelsbrunner. 1st ed. 2014. Cham : Springer International Publishing : Imprint: Springer, 2014. IX, 110 p. 64 illus., 60 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda SpringerBriefs in Mathematical Methods, 2365-0826 Roots of Geometry and Topology -- Voronoi and Delaunay Diagrams -- Weighted Diagrams -- Three Dimensions -- Alpha Complexes -- Holes -- Area Formulas -- Topological Spaces -- Homology Groups -- Complex Construction -- Filtrations -- PL Functions -- Matrix Reduction -- Epilogue. With the aim to bring the subject of Computational Geometry and Topology closer to the scientific audience, this book is written in thirteen ready-to-teach sections organized in four parts: TESSELLATIONS, COMPLEXES, HOMOLOGY, PERSISTENCE. To speak to the non-specialist, detailed formalisms are often avoided in favor of lively 2- and 3-dimensional illustrations. The book is warmly recommended to everybody who loves geometry and the fascinating world of shapes. Computer mathematics. Manifolds (Mathematics). Complex manifolds. Biomedical engineering. Biomathematics. Computational Science and Engineering. https://scigraph.springernature.com/ontologies/product-market-codes/M14026 Manifolds and Cell Complexes (incl. Diff.Topology). https://scigraph.springernature.com/ontologies/product-market-codes/M28027 Biomedical Engineering and Bioengineering. https://scigraph.springernature.com/ontologies/product-market-codes/T2700X Mathematical and Computational Biology. https://scigraph.springernature.com/ontologies/product-market-codes/M31000 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783319059587 Printed edition: 9783319059563 SpringerBriefs in Mathematical Methods, 2365-0826 https://doi.org/10.1007/978-3-319-05957-0 ZDB-2-SMA ZDB-2-SXMS Mathematics and Statistics (SpringerNature-11649) Mathematics and Statistics (R0) (SpringerNature-43713)