Euclidean Distance Geometry An Introduction /

This 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 M...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Liberti, Leo (Συγγραφέας), Lavor, Carlile (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2017.
Σειρά:Springer Undergraduate Texts in Mathematics and Technology,
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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100 1 |a Liberti, Leo.  |e author. 
245 1 0 |a Euclidean Distance Geometry  |h [electronic resource] :  |b An Introduction /  |c by Leo Liberti, Carlile Lavor. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Springer,  |c 2017. 
300 |a XIII, 133 p. 60 illus., 31 illus. in color.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
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490 1 |a Springer Undergraduate Texts in Mathematics and Technology,  |x 1867-5506 
505 0 |a Introduction -- 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. 
520 |a This 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. 
650 0 |a Mathematics. 
650 0 |a Computer science  |x Mathematics. 
650 0 |a Algorithms. 
650 0 |a Convex geometry. 
650 0 |a Discrete geometry. 
650 0 |a Mathematical optimization. 
650 0 |a Discrete mathematics. 
650 1 4 |a Mathematics. 
650 2 4 |a Convex and Discrete Geometry. 
650 2 4 |a Discrete Optimization. 
650 2 4 |a Discrete Mathematics in Computer Science. 
650 2 4 |a Algorithms. 
650 2 4 |a Discrete Mathematics. 
700 1 |a Lavor, Carlile.  |e author. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9783319607917 
830 0 |a Springer Undergraduate Texts in Mathematics and Technology,  |x 1867-5506 
856 4 0 |u http://dx.doi.org/10.1007/978-3-319-60792-4  |z Full Text via HEAL-Link 
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950 |a Mathematics and Statistics (Springer-11649)