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Author : Vašek Chvátal
Publisher : Cambridge University Press
Page : 269 pages
File Size : 44,7 Mb
Release : 2021-08-26
Category : Computers
ISBN : 9781108831833
A captivating introduction to key results of discrete mathematics through the work of Paul Erdős, blended with first-hand reminiscences.
Author : Paul Erdős
Publisher : Cambridge University Press
Page : 504 pages
File Size : 41,7 Mb
Release : 1990-12-13
Category : Mathematics
ISBN : 0521381010
This volume is dedicated to Paul Erdos, who has profoundly influenced mathematics in this century, with over 1200 papers on number theory, complex analysis, probability theory, geometry, interpretation theory, algebra set theory and combinatorics. One of Erdos' hallmarks is the host of stimulating problems and conjectures, to many of which he has attached monetary prices, in accordance with their notoriety. A feature of this volume is a collection of some fifty outstanding unsolved problems, together with their "values."
Author : Fan Chung,Ron Graham
Publisher : A K Peters/CRC Press
Page : 142 pages
File Size : 46,8 Mb
Release : 1998-01-01
Category : Mathematics
ISBN : 1568810792
This book is a tribute to Paul Erd\H{o}s, the wandering mathematician once described as the "prince of problem solvers and the absolute monarch of problem posers." It examines -- within the context of his unique personality and lifestyle -- the legacy of open problems he left to the world after his death in 1996. Unwilling to succumb to the temptations of money and position, Erd\H{o}s never had a home and never held a job. His "home" was a bag or two containing all his belongings and a record of the collective activities of the mathematical community. His "job" was one at which he excelled: identifying a fundamental roadblock in some particular line of approach and capturing it in a well-chosen, often innocent-looking problem, whose solution would likewise provide insight into the underlying theory. By cataloguing the unsolved problems of Erd\H{o}s in a comprehensive and well-documented volume, the authors hope to continue the work of an unusual and special man who fundamentally influenced the field of mathematics.
Author : Paul Hoffman
Publisher : Hachette Books
Page : 192 pages
File Size : 50,8 Mb
Release : 2024-05-07
Category : Biography & Autobiography
ISBN : 9780306836565
"A funny, marvelously readable portrait of one of the most brilliant and eccentric men in history." --The Seattle Times Paul Erdos was an amazing and prolific mathematician whose life as a world-wandering numerical nomad was legendary. He published almost 1500 scholarly papers before his death in 1996, and he probably thought more about math problems than anyone in history. Like a traveling salesman offering his thoughts as wares, Erdos would show up on the doorstep of one mathematician or another and announce, "My brain is open." After working through a problem, he'd move on to the next place, the next solution. Hoffman's book, like Sylvia Nasar's biography of John Nash, A Beautiful Mind, reveals a genius's life that transcended the merely quirky. But Erdos's brand of madness was joyful, unlike Nash's despairing schizophrenia. Erdos never tried to dilute his obsessive passion for numbers with ordinary emotional interactions, thus avoiding hurting the people around him, as Nash did. Oliver Sacks writes of Erdos: "A mathematical genius of the first order, Paul Erdos was totally obsessed with his subject--he thought and wrote mathematics for nineteen hours a day until the day he died. He traveled constantly, living out of a plastic bag, and had no interest in food, sex, companionship, art--all that is usually indispensable to a human life." The Man Who Loved Only Numbers is easy to love, despite his strangeness. It's hard not to have affection for someone who referred to children as "epsilons," from the Greek letter used to represent small quantities in mathematics; a man whose epitaph for himself read, "Finally I am becoming stupider no more"; and whose only really necessary tool to do his work was a quiet and open mind. Hoffman, who followed and spoke with Erdos over the last 10 years of his life, introduces us to an undeniably odd, yet pure and joyful, man who loved numbers more than he loved God--whom he referred to as SF, for Supreme Fascist. He was often misunderstood, and he certainly annoyed people sometimes, but Paul Erdos is no doubt missed. --Therese Littleton
Author : Paul Erdős
Publisher : Unknown
Page : 742 pages
File Size : 48,5 Mb
Release : 1973
Category : Combinatorial analysis
ISBN : 0262191164
Author : Ronald L. Graham,Jaroslav Nešetřil,Steve Butler
Publisher : Springer Science & Business Media
Page : 607 pages
File Size : 46,9 Mb
Release : 2013-08-04
Category : Mathematics
ISBN : 9781461472544
This is the most comprehensive survey of the mathematical life of the legendary Paul Erdős (1913-1996), one of the most versatile and prolific mathematicians of our time. For the first time, all the main areas of Erdős' research are covered in a single project. Because of overwhelming response from the mathematical community, the project now occupies over 1000 pages, arranged into two volumes. These volumes contain both high level research articles as well as key articles that survey some of the cornerstones of Erdős' work, each written by a leading world specialist in the field. A special chapter "Early Days", rare photographs, and art related to Erdős complement this striking collection. A unique contribution is the bibliography on Erdős' publications: the most comprehensive ever published. This new edition, dedicated to the 100th anniversary of Paul Erdős' birth, contains updates on many of the articles from the two volumes of the first edition, several new articles from prominent mathematicians, a new introduction, and more biographical information about Paul Erdős with an updated list of publications. The second volume contains chapters on graph theory and combinatorics, extremal and Ramsey theory, and a section on infinity that covers Erdős' research on set theory. All of these chapters are essentially updated, particularly the extremal theory chapter that contains a survey of flag algebras, a new technique for solving extremal problems.
Author : Vadim Gorin
Publisher : Cambridge University Press
Page : 261 pages
File Size : 55,9 Mb
Release : 2021-09-09
Category : Language Arts & Disciplines
ISBN : 9781108843966
This is the first book dedicated to reviewing the mathematics of random tilings of large domains on the plane.
Author : Krishnaswami Alladi,P.D.T.A. Elliott,Andrew Granville,G. Tenenbaum
Publisher : Springer
Page : 289 pages
File Size : 45,7 Mb
Release : 2013-12-21
Category : Mathematics
ISBN : 9781475745078
This volume contains a collection of papers in Analytic and Elementary Number Theory in memory of Professor Paul Erdös, one of the greatest mathematicians of this century. Written by many leading researchers, the papers deal with the most recent advances in a wide variety of topics, including arithmetical functions, prime numbers, the Riemann zeta function, probabilistic number theory, properties of integer sequences, modular forms, partitions, and q-series. Audience: Researchers and students of number theory, analysis, combinatorics and modular forms will find this volume to be stimulating.
Author : Ronald L. Graham,Jaroslav Nešetřil,Steve Butler
Publisher : Springer
Page : 0 pages
File Size : 42,8 Mb
Release : 2013-08-03
Category : Mathematics
ISBN : 1461472571
This is the most comprehensive survey of the mathematical life of the legendary Paul Erdős (1913-1996), one of the most versatile and prolific mathematicians of our time. For the first time, all the main areas of Erdős' research are covered in a single project. Because of overwhelming response from the mathematical community, the project now occupies over 1000 pages, arranged into two volumes. These volumes contain both high level research articles as well as key articles that survey some of the cornerstones of Erdős' work, each written by a leading world specialist in the field. A special chapter "Early Days", rare photographs, and art related to Erdős complement this striking collection. A unique contribution is the bibliography on Erdős' publications: the most comprehensive ever published. This new edition, dedicated to the 100th anniversary of Paul Erdős' birth, contains updates on many of the articles from the two volumes of the first edition, several new articles from prominent mathematicians, a new introduction, more biographical information about Paul Erdős, and an updated list of publications. The first volume contains the unique chapter "Early Days", which features personal memories of Paul Erdős by a number of his colleagues. The other three chapters cover number theory, random methods, and geometry. All of these chapters are essentially updated, most notably the geometry chapter that covers the recent solution of the problem on the number of distinct distances in finite planar sets, which was the most popular of Erdős' favorite geometry problems.
Author : Donald E. Knuth,Tracy Larrabee,Paul M. Roberts
Publisher : Cambridge University Press
Page : 132 pages
File Size : 40,5 Mb
Release : 1989
Category : Language Arts & Disciplines
ISBN : 088385063X
This book will help those wishing to teach a course in technical writing, or who wish to write themselves.
Author : Angel Corberan,Gilbert Laporte
Publisher : SIAM
Page : 401 pages
File Size : 54,5 Mb
Release : 2015-01-01
Category : Mathematics
ISBN : 9781611973679
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,Alf van der Poorten,Jeffrey Shallit,Wadim Zudilin
Publisher : Cambridge University Press
Page : 223 pages
File Size : 49,6 Mb
Release : 2014-07-03
Category : Mathematics
ISBN : 9780521186490
This introductory text covers a variety of applications to interest every reader, from researchers to amateur mathematicians.
Author : Ronald Lewis Graham,Jaroslav Nesetril
Publisher : Springer
Page : 403 pages
File Size : 54,8 Mb
Release : 1996-11-20
Category : Mathematics
ISBN : 3540610324
In 1992, when Paul Erdos was awarded a Doctor Honoris Causa by Charles University in Prague, a small conference was held, bringing together a distin guished group of researchers with interests spanning a variety of fields related to Erdos' own work. At that gathering, the idea occurred to several of us that it might be quite appropriate at this point in Erdos' career to solicit a col lection of articles illustrating various aspects of Erdos' mathematical life and work. The response to our solicitation was immediate and overwhelming, and these volumes are the result. Regarding the organization, we found it convenient to arrange the papers into six chapters, each mirroring Erdos' holistic approach to mathematics. Our goal was not merely a (random) collection of papers but rather a thor oughly edited volume composed in large part by articles explicitly solicited to illustrate interesting aspects of Erdos and his life and work. Each chap ter includes an introduction which often presents a sample of related ErdOs' problems "in his own words". All these (sometimes lengthy) introductions were written jointly by editors. We wish to thank the nearly 70 contributors for their outstanding efforts (and their patience). In particular, we are grateful to Bela Bollobas for his extensive documentation of Paul Erdos' early years and mathematical high points (in the first part of this volume); our other authors are acknowledged in their respective chapters. We also want to thank A. Bondy, G. Hahn, I.
Author : Urban Larsson
Publisher : Cambridge University Press
Page : 499 pages
File Size : 54,9 Mb
Release : 2019-05-09
Category : Computers
ISBN : 9781108485807
Surveys the state-of-the-art in combinatorial game theory, that is games not involving chance or hidden information.
Author : Bruce Schechter
Publisher : Simon and Schuster
Page : 236 pages
File Size : 46,9 Mb
Release : 2000-02-28
Category : Biography & Autobiography
ISBN : 9780684859804
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.