Euclidean distance geometry: an introduction

By: Liberti, Leo
Contributor(s): Lavor, Carlile [Co author]
Material type: TextTextSeries: Springer undergraduate texts in mathematics and technologyPublisher: Cham Springer 2017Description: xiii, 133 p. Includes bibliographical references and indexISBN: 9783319607917Subject(s): Distance geometry | Discrete geometry | Convex geometry | Quadratic system of equations | Molecular distance geometryDDC classification: 516.2 Summary: 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. https://www.springer.com/in/book/9783319607917
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Slot 1384 (0 Floor, East Wing) Non-fiction 516.2 L4E8 (Browse shelf) Checked out 05/06/2021 200005

Table of contents:

Motivation
The Distance Geometry Problem
Realizing complete graphs
Discretizability
Molecular distance geometry problems

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.

https://www.springer.com/in/book/9783319607917

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