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Euclidean Distance Geometry

An Introduction

Medium: Buch
ISBN: 978-3-319-60791-7
Verlag: Springer Nature Switzerland
Erscheinungstermin: 12.10.2017
Lieferfrist: bis zu 10 Tage

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 inreal life.


Produkteigenschaften


  • Artikelnummer: 9783319607917
  • Medium: Buch
  • ISBN: 978-3-319-60791-7
  • Verlag: Springer Nature Switzerland
  • Erscheinungstermin: 12.10.2017
  • Sprache(n): Englisch
  • Auflage: 1. Auflage 2017
  • Serie: Springer Undergraduate Texts in Mathematics and Technology
  • Produktform: Gebunden
  • Gewicht: 4652 g
  • Seiten: 133
  • Format (B x H x T): 183 x 260 x 14 mm
  • Ausgabetyp: Kein, Unbekannt
Autoren/Hrsg.

Autoren

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.