The Discrete Mathematical Charms of Paul Erd?s

The Discrete Mathematical Charms of Paul Erd?s
Title The Discrete Mathematical Charms of Paul Erd?s PDF eBook
Author Vašek Chvátal
Publisher Cambridge University Press
Pages 269
Release 2021-08-26
Genre Computers
ISBN 1108831834

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A captivating introduction to key results of discrete mathematics through the work of Paul Erdős, blended with first-hand reminiscences.

Lectures on Random Lozenge Tilings

Lectures on Random Lozenge Tilings
Title Lectures on Random Lozenge Tilings PDF eBook
Author Vadim Gorin
Publisher Cambridge University Press
Pages 261
Release 2021-09-09
Genre Language Arts & Disciplines
ISBN 1108843964

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This is the first book dedicated to reviewing the mathematics of random tilings of large domains on the plane.

3D Shape Analysis

3D Shape Analysis
Title 3D Shape Analysis PDF eBook
Author Hamid Laga
Publisher John Wiley & Sons
Pages 368
Release 2019-01-07
Genre Mathematics
ISBN 1119405106

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An in-depth description of the state-of-the-art of 3D shape analysis techniques and their applications This book discusses the different topics that come under the title of "3D shape analysis". It covers the theoretical foundations and the major solutions that have been presented in the literature. It also establishes links between solutions proposed by different communities that studied 3D shape, such as mathematics and statistics, medical imaging, computer vision, and computer graphics. The first part of 3D Shape Analysis: Fundamentals, Theory, and Applications provides a review of the background concepts such as methods for the acquisition and representation of 3D geometries, and the fundamentals of geometry and topology. It specifically covers stereo matching, structured light, and intrinsic vs. extrinsic properties of shape. Parts 2 and 3 present a range of mathematical and algorithmic tools (which are used for e.g., global descriptors, keypoint detectors, local feature descriptors, and algorithms) that are commonly used for the detection, registration, recognition, classification, and retrieval of 3D objects. Both also place strong emphasis on recent techniques motivated by the spread of commodity devices for 3D acquisition. Part 4 demonstrates the use of these techniques in a selection of 3D shape analysis applications. It covers 3D face recognition, object recognition in 3D scenes, and 3D shape retrieval. It also discusses examples of semantic applications and cross domain 3D retrieval, i.e. how to retrieve 3D models using various types of modalities, e.g. sketches and/or images. The book concludes with a summary of the main ideas and discussions of the future trends. 3D Shape Analysis: Fundamentals, Theory, and Applications is an excellent reference for graduate students, researchers, and professionals in different fields of mathematics, computer science, and engineering. It is also ideal for courses in computer vision and computer graphics, as well as for those seeking 3D industrial/commercial solutions.

The Discrete Mathematical Charms of Paul Erdos

The Discrete Mathematical Charms of Paul Erdos
Title The Discrete Mathematical Charms of Paul Erdos PDF eBook
Author Vašek Chvátal
Publisher Cambridge University Press
Pages 270
Release 2021-08-26
Genre Mathematics
ISBN 1108934919

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Paul Erdős published more papers during his lifetime than any other mathematician, especially in discrete mathematics. He had a nose for beautiful, simply-stated problems with solutions that have far-reaching consequences across mathematics. This captivating book, written for students, provides an easy-to-understand introduction to discrete mathematics by presenting questions that intrigued Erdős, along with his brilliant ways of working toward their answers. It includes young Erdős's proof of Bertrand's postulate, the Erdős-Szekeres Happy End Theorem, De Bruijn-Erdős theorem, Erdős-Rado delta-systems, Erdős-Ko-Rado theorem, Erdős-Stone theorem, the Erdős-Rényi-Sós Friendship Theorem, Erdős-Rényi random graphs, the Chvátal-Erdős theorem on Hamilton cycles, and other results of Erdős, as well as results related to his work, such as Ramsey's theorem or Deza's theorem on weak delta-systems. Its appendix covers topics normally missing from introductory courses. Filled with personal anecdotes about Erdős, this book offers a behind-the-scenes look at interactions with the legendary collaborator.

My Brain is Open

My Brain is Open
Title My Brain is Open PDF eBook
Author Bruce Schechter
Publisher Simon and Schuster
Pages 236
Release 2000-02-28
Genre Biography & Autobiography
ISBN 0684859807

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Traces the eccentric life of legendary mathematician Paul Erdos, a wandering genius who fled his native Hungary during the Holocaust and helped devise the mathematical basis of computer science.

Arc Routing

Arc Routing
Title Arc Routing PDF eBook
Author Angel Corberan
Publisher SIAM
Pages 404
Release 2015-01-01
Genre Mathematics
ISBN 1611973678

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This book provides a thorough and up-to-date discussion of arc routing by world-renowned researchers. Organized by problem type, the book offers a rigorous treatment of complexity issues, models, algorithms, and applications. Arc Routing: Problems, Methods, and Applications opens with a historical perspective of the field and is followed by three sections that cover complexity and the Chinese Postman and the Rural Postman problems; the Capacitated Arc Routing Problem and routing problems with min-max and profit maximization objectives; and important applications, including meter reading, snow removal, and waste collection.

Neverending Fractions

Neverending Fractions
Title Neverending Fractions PDF eBook
Author Jonathan Borwein
Publisher Cambridge University Press
Pages 223
Release 2014-07-03
Genre Mathematics
ISBN 0521186498

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This introductory text covers a variety of applications to interest every reader, from researchers to amateur mathematicians.