The Discrete Mathematical Charms of Paul Erd?s PDF Download
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Author: Vašek Chvátal
Publisher: Cambridge University Press
ISBN: 1108831834
Category : Computers
Languages : en
Pages : 269
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Book Description
A captivating introduction to key results of discrete mathematics through the work of Paul Erdős, blended with first-hand reminiscences.
Author: Vašek Chvátal
Publisher: Cambridge University Press
ISBN: 1108831834
Category : Computers
Languages : en
Pages : 269
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Book Description
A captivating introduction to key results of discrete mathematics through the work of Paul Erdős, blended with first-hand reminiscences.
Author: Vadim Gorin
Publisher: Cambridge University Press
ISBN: 1108843964
Category : Language Arts & Disciplines
Languages : en
Pages : 261
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Book Description
This is the first book dedicated to reviewing the mathematics of random tilings of large domains on the plane.
Author: Hamid Laga
Publisher: John Wiley & Sons
ISBN: 1119405106
Category : Mathematics
Languages : en
Pages : 368
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Book Description
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.
Author: Angel Corberan
Publisher: SIAM
ISBN: 1611973678
Category : Mathematics
Languages : en
Pages : 404
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Book Description
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.
Author: Jonathan Borwein
Publisher: Cambridge University Press
ISBN: 0521186498
Category : Mathematics
Languages : en
Pages : 223
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Book Description
This introductory text covers a variety of applications to interest every reader, from researchers to amateur mathematicians.
Author: Vašek Chvátal
Publisher: Cambridge University Press
ISBN: 1108934919
Category : Mathematics
Languages : en
Pages : 270
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Book Description
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.
Author: Bruce Schechter
Publisher: Simon and Schuster
ISBN: 0684859807
Category : Biography & Autobiography
Languages : en
Pages : 236
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Book Description
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.
Author: Robert Kaplan
Publisher: Bloomsbury Publishing USA
ISBN: 1608198693
Category : Mathematics
Languages : en
Pages : 417
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Book Description
Traces the development of mathematical thinking and describes the characteristics of the "republic of numbers" in terms of humankind's fascination with, and growing knowledge of, infinity.
Author: Francis-Noël Thomas
Publisher: Princeton University Press
ISBN: 1400887356
Category : Language Arts & Disciplines
Languages : en
Pages : 234
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Book Description
Everyone talks about style, but no one explains it. The authors of this book do; and in doing so, they provoke the reader to consider style, not as an elegant accessory of effective prose, but as its very heart. At a time when writing skills have virtually disappeared, what can be done? If only people learned the principles of verbal correctness, the essential rules, wouldn't good prose simply fall into place? Thomas and Turner say no. Attending to rules of grammar, sense, and sentence structure will no more lead to effective prose than knowing the mechanics of a golf swing will lead to a hole-in-one. Furthermore, ten-step programs to better writing exacerbate the problem by failing to recognize, as Thomas and Turner point out, that there are many styles with different standards. In the first half of Clear and Simple, the authors introduce a range of styles--reflexive, practical, plain, contemplative, romantic, prophetic, and others--contrasting them to classic style. Its principles are simple: The writer adopts the pose that the motive is truth, the purpose is presentation, the reader is an intellectual equal, and the occasion is informal. Classic style is at home in everything from business memos to personal letters, from magazine articles to university writing. The second half of the book is a tour of examples--the exquisite and the execrable--showing what has worked and what hasn't. Classic prose is found everywhere: from Thomas Jefferson to Junichirō Tanizaki, from Mark Twain to the observations of an undergraduate. Here are many fine performances in classic style, each clear and simple as the truth. Originally published in 1994. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Author: Avi Wigderson
Publisher: Princeton University Press
ISBN: 0691189137
Category : Computers
Languages : en
Pages : 434
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Book Description
From the winner of the Turing Award and the Abel Prize, an introduction to computational complexity theory, its connections and interactions with mathematics, and its central role in the natural and social sciences, technology, and philosophy Mathematics and Computation provides a broad, conceptual overview of computational complexity theory—the mathematical study of efficient computation. With important practical applications to computer science and industry, computational complexity theory has evolved into a highly interdisciplinary field, with strong links to most mathematical areas and to a growing number of scientific endeavors. Avi Wigderson takes a sweeping survey of complexity theory, emphasizing the field’s insights and challenges. He explains the ideas and motivations leading to key models, notions, and results. In particular, he looks at algorithms and complexity, computations and proofs, randomness and interaction, quantum and arithmetic computation, and cryptography and learning, all as parts of a cohesive whole with numerous cross-influences. Wigderson illustrates the immense breadth of the field, its beauty and richness, and its diverse and growing interactions with other areas of mathematics. He ends with a comprehensive look at the theory of computation, its methodology and aspirations, and the unique and fundamental ways in which it has shaped and will further shape science, technology, and society. For further reading, an extensive bibliography is provided for all topics covered. Mathematics and Computation is useful for undergraduate and graduate students in mathematics, computer science, and related fields, as well as researchers and teachers in these fields. Many parts require little background, and serve as an invitation to newcomers seeking an introduction to the theory of computation. Comprehensive coverage of computational complexity theory, and beyond High-level, intuitive exposition, which brings conceptual clarity to this central and dynamic scientific discipline Historical accounts of the evolution and motivations of central concepts and models A broad view of the theory of computation's influence on science, technology, and society Extensive bibliography
