LEADER 03962nam  22006975  450 
001 9910254302503321
005 20200629215452.0
010   $a3-319-60792-8
024 7 $a10.1007/978-3-319-60792-4
035   $a(CKB)4100000000586888
035   $a(DE-He213)978-3-319-60792-4
035   $a(MiAaPQ)EBC5591973
035   $a(PPN)204534666
035   $a(EXLCZ)994100000000586888
100   $a20170921d2017      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aEuclidean Distance Geometry $eAn Introduction /$fby Leo Liberti, Carlile Lavor
205   $a1st ed. 2017.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2017.
215   $a1 online resource (XIII, 133 p. 60 illus., 31 illus. in color.) 
225 1 $aSpringer Undergraduate Texts in Mathematics and Technology,$x1867-5506
311   $a3-319-60791-X 
327   $aIntroduction -- 1. Motivation -- 2. The Distance Geometry Problem -- 3. Realizing Complete Graphs -- 4. Discretizability -- 5. Molecular Distance Geometry Problems -- 6.Vertex Orders -- 7. Flexibility and Rigidity -- 8. Approximate Realizations -- 9. Taking DG Further -- Appendix A. Mathematical Notions.
330   $aThis textbook, the first of its kind, presents the fundamentals of distance geometry: theory, useful methodologies for obtaining solutions, and real world applications. Concise proofs are given and step-by-step algorithms for solving fundamental problems efficiently and precisely are presented in Mathematica®, enabling the reader to experiment with concepts and methods as they are introduced. Descriptive graphics, examples, and problems, accompany the real gems of the text, namely the applications in visualization of graphs, localization of sensor networks, protein conformation from distance data, clock synchronization protocols, robotics, and control of unmanned underwater vehicles, to name several. Aimed at intermediate undergraduates, beginning graduate students, researchers, and practitioners, the reader with a basic knowledge of linear algebra will gain an understanding of the basic theories of distance geometry and why they work in real life.
410  0$aSpringer Undergraduate Texts in Mathematics and Technology,$x1867-5506
606   $aConvex geometry 
606   $aDiscrete geometry
606   $aMathematical optimization
606   $aComputer science?Mathematics
606   $aAlgorithms
606   $aDiscrete mathematics
606   $aConvex and Discrete Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21014
606   $aDiscrete Optimization$3https://scigraph.springernature.com/ontologies/product-market-codes/M26040
606   $aDiscrete Mathematics in Computer Science$3https://scigraph.springernature.com/ontologies/product-market-codes/I17028
606   $aAlgorithms$3https://scigraph.springernature.com/ontologies/product-market-codes/M14018
606   $aDiscrete Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M29000
615  0$aConvex geometry .
615  0$aDiscrete geometry.
615  0$aMathematical optimization.
615  0$aComputer science?Mathematics.
615  0$aAlgorithms.
615  0$aDiscrete mathematics.
615 14$aConvex and Discrete Geometry.
615 24$aDiscrete Optimization.
615 24$aDiscrete Mathematics in Computer Science.
615 24$aAlgorithms.
615 24$aDiscrete Mathematics.
676   $a514.3
700   $aLiberti$b Leo$4aut$4http://id.loc.gov/vocabulary/relators/aut$0767458
702   $aLavor$b Carlile$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910254302503321
996   $aEuclidean Distance Geometry$91985612
997   $aUNINA