The Mathematics Of Paul Erdös I

Author : Ronald Lewis Graham,Jaroslav Nesetril
Publisher : Springer Science & Business Media
Page : 413 pages
File Size : 43,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642604089

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The Mathematics of Paul Erdös I by Ronald Lewis Graham,Jaroslav Nesetril Pdf

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 : Ronald L. Graham,Jaroslav Nešetřil,Steve Butler
Publisher : Springer Science & Business Media
Page : 564 pages
File Size : 41,8 Mb
Release : 2013-08-04
Category : Mathematics
ISBN : 9781461472582

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The Mathematics of Paul Erdős I by Ronald L. Graham,Jaroslav Nešetřil,Steve Butler Pdf

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 : Ronald L. Graham,Jaroslav Nešetřil,Steve Butler
Publisher : Springer Science & Business Media
Page : 617 pages
File Size : 51,5 Mb
Release : 2013-08-04
Category : Mathematics
ISBN : 9781461472544

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The Mathematics of Paul Erdős II by Ronald L. Graham,Jaroslav Nešetřil,Steve Butler Pdf

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 : Paul Hoffman
Publisher : Hachette UK
Page : 192 pages
File Size : 53,8 Mb
Release : 2024-05-07
Category : Biography & Autobiography
ISBN : 9780306836565

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The Man Who Loved Only Numbers by Paul Hoffman Pdf

"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 : Martin Aigner,Günter M. Ziegler
Publisher : Springer Science & Business Media
Page : 194 pages
File Size : 51,6 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9783662223437

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Proofs from THE BOOK by Martin Aigner,Günter M. Ziegler Pdf

According to the great mathematician Paul Erdös, God maintains perfect mathematical proofs in The Book. This book presents the authors candidates for such "perfect proofs," those which contain brilliant ideas, clever connections, and wonderful observations, bringing new insight and surprising perspectives to problems from number theory, geometry, analysis, combinatorics, and graph theory. As a result, this book will be fun reading for anyone with an interest in mathematics.

Author : Gabor Halasz,Laszlo Lovasz,Miklos Simonovits,Vera T. Sós
Publisher : Springer
Page : 740 pages
File Size : 42,8 Mb
Release : 2002-10-31
Category : Mathematics
ISBN : 3540422366

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Paul Erdös and His Mathematics by Gabor Halasz,Laszlo Lovasz,Miklos Simonovits,Vera T. Sós Pdf

Since his death in 1996, many scientific meetings have been dedicated to the memory of Paul Erdös. From July 4 to 11, 1999, the conference "Paul Erdös and his Mathematics" was held in Budapest, with the ambitious goal of showing the whole range of Erdös' work - a difficult task in view of Erdös' versatility and his broad scope of interest in mathematics. According to this goal, the topics of lectures, given by the leading specialists of the subjects, included number theory, combinatorics, analysis, set theory, probability, geometry and areas connecting them, like ergodic theory. The conference has contributed to changing the common view that Erdös worked only in combinatorics and combinatorial number theory. In the present two volumes, the editors have collected, besides some personal reminiscences by Paul's old friends, mainly survey articles on his work, and on areas he initiated or worked in.

Author : Ronald Lewis Graham,Jaroslav Nešetřil
Publisher : Springer
Page : 432 pages
File Size : 48,8 Mb
Release : 1997
Category : Business & Economics
ISBN : UOM:39015038569631

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The Mathematics of Paul Erdös I by Ronald Lewis Graham,Jaroslav Nešetřil Pdf

This is the most comprehensive survey of the mathematical life of the legendary Paul Erdös, one of the most versatile and prolific mathematicians of our time. For the first time, all the main areas of Erdös' research are covered in a single project. Because of overwhelming response from the mathematical community, the project now occupies over 900 pages, arranged into two volumes. These volumes contain both high level research articles as well as "key" articles which survey some of the cornerstones of Erdös' work, each written by a leading world specialist in the field. A special chapter "Early Days", rare photographs, and art related to Erdös complement this striking collection. A unique contribution is the bibliography on Erdös' publications: the most comprehensive ever published.

Author : Krishnaswami Alladi,P.D.T.A. Elliott,Andrew Granville,G. Tenenbaum
Publisher : Springer
Page : 289 pages
File Size : 44,9 Mb
Release : 2013-12-21
Category : Mathematics
ISBN : 9781475745078

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Analytic and Elementary Number Theory by Krishnaswami Alladi,P.D.T.A. Elliott,Andrew Granville,G. Tenenbaum Pdf

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 : Deborah Heiligman
Publisher : Roaring Brook Press
Page : 44 pages
File Size : 43,5 Mb
Release : 2013-06-25
Category : Juvenile Nonfiction
ISBN : 9781466839526

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The Boy Who Loved Math by Deborah Heiligman Pdf

Most people think of mathematicians as solitary, working away in isolation. And, it's true, many of them do. But Paul Erdos never followed the usual path. At the age of four, he could ask you when you were born and then calculate the number of seconds you had been alive in his head. But he didn't learn to butter his own bread until he turned twenty. Instead, he traveled around the world, from one mathematician to the next, collaborating on an astonishing number of publications. With a simple, lyrical text and richly layered illustrations, this is a beautiful introduction to the world of math and a fascinating look at the unique character traits that made "Uncle Paul" a great man. The Boy Who Loved Math by Deborah Heiligman is a Kirkus Reviews Best Book of 2013 and a New York Times Book Review Notable Children's Book of 2013.

Author : Vašek Chvátal
Publisher : Cambridge University Press
Page : 269 pages
File Size : 51,7 Mb
Release : 2021-08-26
Category : Computers
ISBN : 9781108831833

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The Discrete Mathematical Charms of Paul Erd?s by Vašek Chvátal Pdf

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

Author : Bruce Schechter
Publisher : Simon and Schuster
Page : 236 pages
File Size : 47,6 Mb
Release : 2000-02-28
Category : Biography & Autobiography
ISBN : 9780684859804

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My Brain is Open by Bruce Schechter Pdf

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 : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 54,9 Mb
Release : 1997
Category : Mathematics
ISBN : LCCN:96031947

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The Mathematics of Paul Erdös: Some of my favorite problems and results by Anonim Pdf

Author : Béla Bollobás,Andrew Thomason
Publisher : Cambridge University Press
Page : 588 pages
File Size : 49,8 Mb
Release : 1997-05-22
Category : Mathematics
ISBN : 0521584728

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Combinatorics, Geometry and Probability by Béla Bollobás,Andrew Thomason Pdf

A panorama of combinatorics by the world's experts.

Author : Ronald L. Graham,Jaroslav Nesetril
Publisher : Springer Science & Business Media
Page : 591 pages
File Size : 51,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642604065

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The Mathematics of Paul Erdös II by Ronald L. Graham,Jaroslav Nesetril Pdf

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 : Paul Erdős
Publisher : Cambridge University Press
Page : 504 pages
File Size : 44,5 Mb
Release : 1990-12-13
Category : Mathematics
ISBN : 0521381010

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A Tribute to Paul Erdos by Paul Erdős Pdf

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."