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| paul erdos documentary: The Man Who Loved Only Numbers Paul Hoffman, 2024-05-07 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 |
| paul erdos documentary: Erdös on Graphs Fan Chung, Ron Graham, At&T Labs, 2020-08-26 This book is a tribute to Paul Erdos, the wandering mathematician once described as the prince of problem solvers and the absolute monarch of problem posers. It examines the legacy of open problems he left to the world after his death in 1996. |
| paul erdos documentary: My Brain is Open Bruce Schechter, 2000-02-28 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. |
| paul erdos documentary: The Probabilistic Method Noga Alon, Joel H. Spencer, 2015-11-02 Praise for the Third Edition “Researchers of any kind of extremal combinatorics or theoretical computer science will welcome the new edition of this book.” - MAA Reviews Maintaining a standard of excellence that establishes The Probabilistic Method as the leading reference on probabilistic methods in combinatorics, the Fourth Edition continues to feature a clear writing style, illustrative examples, and illuminating exercises. The new edition includes numerous updates to reflect the most recent developments and advances in discrete mathematics and the connections to other areas in mathematics, theoretical computer science, and statistical physics. Emphasizing the methodology and techniques that enable problem-solving, The Probabilistic Method, Fourth Edition begins with a description of tools applied to probabilistic arguments, including basic techniques that use expectation and variance as well as the more advanced applications of martingales and correlation inequalities. The authors explore where probabilistic techniques have been applied successfully and also examine topical coverage such as discrepancy and random graphs, circuit complexity, computational geometry, and derandomization of randomized algorithms. Written by two well-known authorities in the field, the Fourth Edition features: Additional exercises throughout with hints and solutions to select problems in an appendix to help readers obtain a deeper understanding of the best methods and techniques New coverage on topics such as the Local Lemma, Six Standard Deviations result in Discrepancy Theory, Property B, and graph limits Updated sections to reflect major developments on the newest topics, discussions of the hypergraph container method, and many new references and improved results The Probabilistic Method, Fourth Edition is an ideal textbook for upper-undergraduate and graduate-level students majoring in mathematics, computer science, operations research, and statistics. The Fourth Edition is also an excellent reference for researchers and combinatorists who use probabilistic methods, discrete mathematics, and number theory. Noga Alon, PhD, is Baumritter Professor of Mathematics and Computer Science at Tel Aviv University. He is a member of the Israel National Academy of Sciences and Academia Europaea. A coeditor of the journal Random Structures and Algorithms, Dr. Alon is the recipient of the Polya Prize, The Gödel Prize, The Israel Prize, and the EMET Prize. Joel H. Spencer, PhD, is Professor of Mathematics and Computer Science at the Courant Institute of New York University. He is the cofounder and coeditor of the journal Random Structures and Algorithms and is a Sloane Foundation Fellow. Dr. Spencer has written more than 200 published articles and is the coauthor of Ramsey Theory, Second Edition, also published by Wiley. |
| paul erdos documentary: The Scottish Book R. Daniel Mauldin, 2015-11-26 The second edition of this book updates and expands upon a historically important collection of mathematical problems first published in the United States by Birkhäuser in 1981. These problems serve as a record of the informal discussions held by a group of mathematicians at the Scottish Café in Lwów, Poland, between the two world wars. Many of them were leaders in the development of such areas as functional and real analysis, group theory, measure and set theory, probability, and topology. Finding solutions to the problems they proposed has been ongoing since World War II, with prizes offered in many cases to those who are successful. In the 35 years since the first edition published, several more problems have been fully or partially solved, but even today many still remain unsolved and several prizes remain unclaimed. In view of this, the editor has gathered new and updated commentaries on the original 193 problems. Some problems are solved for the first time in this edition. Included again in full are transcripts of lectures given by Stanislaw Ulam, Mark Kac, Antoni Zygmund, Paul Erdös, and Andrzej Granas that provide amazing insights into the mathematical environment of Lwów before World War II and the development of The Scottish Book. Also new in this edition are a brief history of the University of Wrocław’s New Scottish Book, created to revive the tradition of the original, and some selected problems from it. The Scottish Book offers a unique opportunity to communicate with the people and ideas of a time and place that had an enormous influence on the development of mathematics and try their hand on the unsolved problems. Anyone in the general mathematical community with an interest in the history of modern mathematics will find this to be an insightful and fascinating read. |
| paul erdos documentary: King's Gambit Paul Hoffman, 2007-09-11 As a young man, Paul Hoffman was a brilliant chess player . . . until the pressures of competition drove him to the brink of madness. In King's Gambit, he interweaves a gripping overview of the history of the game and an in-depth look at the state of modern chess into the story of his own attempt to get his game back up to master level -- without losing his mind. It's also a father and son story, as Hoffman grapples with the bizarre legacy of his own dad, who haunts Hoffman's game and life. |
| paul erdos documentary: The Restless Hungarian Tom Weidlinger, 2019-04-16 The Restless Hungarian is the saga of an extraordinary life set against the history of the rise of modernism, the Jewish Diaspora, and the Cold War. A Hungarian Jew whose inquiring spirit helped him to escape the Holocaust, Paul Weidlinger became one of the most creative structural engineers of the twentieth century. As a young architect, he broke ranks with the great modernists with his radical idea of the “Joy of Space.” As an engineer, he created the strength behind the beauty in mid-century modern skyscrapers, churches, museums, and he gave concrete form to the eccentric monumental sculptures of Pablo Picasso, Isamu Noguchi, and Jean Dubuffet. In his private life, he was a divided man, living behind a wall of denial as he lost his family to war, mental illness, and suicide. In telling his father’s story, the author sifts meaning from the inspiring and contradictory narratives of a life: a motherless child and a captain of industry, a clandestine communist who designed silos for the world’s deadliest weapons during the Cold War, a Jewish refugee who denied he was a Jew, a husband who was terrified of his wife’s madness, and a man whose personal saints were artists. |
| paul erdos documentary: A Place for Zero Angeline Sparagna Lopresti, 2003-07-01 Zero is lonely in Digitaria. He can't play Addemup with the other numbers, because he has nothing to add. What's a digit to do? Join Zero as he goes on a journey to discover his place. |
| paul erdos documentary: Not Even Wrong Peter Woit, 2007-03-09 At what point does theory depart the realm of testable hypothesis and come to resemble something like aesthetic speculation, or even theology? The legendary physicist Wolfgang Pauli had a phrase for such ideas: He would describe them as not even wrong, meaning that they were so incomplete that they could not even be used to make predictions to compare with observations to see whether they were wrong or not. In Peter Woit's view, superstring theory is just such an idea. In Not Even Wrong , he shows that what many physicists call superstring theory is not a theory at all. It makes no predictions, even wrong ones, and this very lack of falsifiability is what has allowed the subject to survive and flourish. Not Even Wrong explains why the mathematical conditions for progress in physics are entirely absent from superstring theory today and shows that judgments about scientific statements, which should be based on the logical consistency of argument and experimental evidence, are instead based on the eminence of those claiming to know the truth. In the face of many books from enthusiasts for string theory, this book presents the other side of the story. |
| paul erdos documentary: My Search for Ramanujan Ken Ono, Amir D. Aczel, 2016-04-20 The son of a prominent Japanese mathematician who came to the United States after World War II, Ken Ono was raised on a diet of high expectations and little praise. Rebelling against his pressure-cooker of a life, Ken determined to drop out of high school to follow his own path. To obtain his father’s approval, he invoked the biography of the famous Indian mathematical prodigy Srinivasa Ramanujan, whom his father revered, who had twice flunked out of college because of his single-minded devotion to mathematics. Ono describes his rocky path through college and graduate school, interweaving Ramanujan’s story with his own and telling how at key moments, he was inspired by Ramanujan and guided by mentors who encouraged him to pursue his interest in exploring Ramanujan’s mathematical legacy. Picking up where others left off, beginning with the great English mathematician G.H. Hardy, who brought Ramanujan to Cambridge in 1914, Ono has devoted his mathematical career to understanding how in his short life, Ramanujan was able to discover so many deep mathematical truths, which Ramanujan believed had been sent to him as visions from a Hindu goddess. And it was Ramanujan who was ultimately the source of reconciliation between Ono and his parents. Ono’s search for Ramanujan ranges over three continents and crosses paths with mathematicians whose lives span the globe and the entire twentieth century and beyond. Along the way, Ken made many fascinating discoveries. The most important and surprising one of all was his own humanity. |
| paul erdos documentary: N is a number : a portrait of Paul Erdös ; a documentary film ; the story of a wandering mathematician obsessed with unsolved problems , 1999 |
| paul erdos documentary: Euler William Dunham, 2022-01-13 Leonhard Euler was one of the most prolific mathematicians that have ever lived. This book examines the huge scope of mathematical areas explored and developed by Euler, which includes number theory, combinatorics, geometry, complex variables and many more. The information known to Euler over 300 years ago is discussed, and many of his advances are reconstructed. Readers will be left in no doubt about the brilliance and pervasive influence of Euler's work. |
| paul erdos documentary: N Is a Number George Paul Csicsery, 2007 |
| paul erdos documentary: Evolutionary Psychopathology Marco Del Giudice, 2018-07-06 Mental disorders arise from neural and psychological mechanisms that have been built and shaped by natural selection across our evolutionary history. Looking at psychopathology through the lens of evolution is the only way to understand the deeper nature of mental disorders and turn a mass of behavioral, genetic, and neurobiological findings into a coherent, theoretically grounded discipline. The rise of evolutionary psychopathology is part of an exciting scientific movement in psychology and medicine -- a movement that is fundamentally transforming the way we think about health and disease. Evolutionary Psychopathology takes steps toward a unified approach to psychopathology, using the concepts of life history theory -- a biological account of how individual differences in development, physiology and behavior arise from tradeoffs in survival and reproduction -- to build an integrative framework for mental disorders. This book reviews existing evolutionary models of specific conditions and connects them in a broader perspective, with the goal of explaining the large-scale patterns of risk and comorbidity that characterize psychopathology. Using the life history framework allows for a seamless integration of mental disorders with normative individual differences in personality and cognition, and offers new conceptual tools for the analysis of developmental, genetic, and neurobiological data. The concepts presented in Evolutionary Psychopathology are used to derive a new taxonomy of mental disorders, the Fast-Slow-Defense (FSD) model. The FSD model is the first classification system explicitly based on evolutionary concepts, a biologically grounded alternative to transdiagnostic models. The book reviews a wide range of common mental disorders, discusses their classification in the FSD model, and identifies functional subtypes within existing diagnostic categories. |
| paul erdos documentary: The Mathematics of Paul Erdős II Ronald L. Graham, Jaroslav Nešetřil, Steve Butler, 2013-08-04 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. |
| paul erdos documentary: Enigmas of Chance Mark Kac, 1987 |
| paul erdos documentary: The Discrete Mathematical Charms of Paul Erdos Vašek Chvátal, 2021-08-26 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. |
| paul erdos documentary: The Girl with a Mind for Math Julia Finley Mosca, 2019 After touring a German submarine in the early 1940s, young Raye set her sights on becoming an engineer. Little did she know sexism and racial inequality would challenge that dream every step of the way, even keeping her greatest career accomplishment a secret for decades. Through it all, the gifted mathematician persisted-- finally gaining her well-deserved title in history: a pioneer who changed the course of ship design forever. |
| paul erdos documentary: Geometry Serge Lang, Gene Murrow, 2013-04-17 From the reviews: A prominent research mathematician and a high school teacher have combined their efforts in order to produce a high school geometry course. The result is a challenging, vividly written volume which offers a broader treatment than the traditional Euclidean one, but which preserves its pedagogical virtues. The material included has been judiciously selected: some traditional items have been omitted, while emphasis has been laid on topics which relate the geometry course to the mathematics that precedes and follows. The exposition is clear and precise, while avoiding pedantry. There are many exercises, quite a number of them not routine. The exposition falls into twelve chapters: 1. Distance and Angles.- 2. Coordinates.- 3. Area and the Pythagoras Theorem.- 4. The Distance Formula.- 5. Some Applications of Right Triangles.- 6. Polygons.- 7. Congruent Triangles.- 8. Dilatations and Similarities.- 9. Volumes.- 10. Vectors and Dot Product.- 11. Transformations.- 12. Isometries.This excellent text, presenting elementary geometry in a manner fully corresponding to the requirements of modern mathematics, will certainly obtain well-merited popularity. Publicationes Mathematicae Debrecen#1 |
| paul erdos documentary: Birds and Frogs Freeman J Dyson, 2015-03-25 This book is a sequel to the volume of selected papers of Dyson up to 1990 that was published by the American Mathematical Society in 1996. The present edition comprises a collection of the most interesting writings of Freeman Dyson, all personally selected by the author, from the period 1990–2014. The five sections start off with an Introduction, followed by Talks about Science, Memoirs, Politics and History, and some Technical Papers. The most noteworthy is a lecture entitled Birds and Frogs to the American Mathematical Society that describes two kinds of mathematicians with examples from real life. Other invaluable contributions include an important tribute to C. N. Yang written for his retirement banquet at Stony Brook University, as well as a historical account of the Operational Research at RAF Bomber Command in World War II provocatively titled A Failure of Intelligence. The final section carries the open-ended question of whether any conceivable experiment could detect single gravitons to provide direct evidence of the quantization of gravity — Is a Graviton Detectable? Various possible graviton-detectors are examined. This invaluable compilation contains unpublished lectures, and surveys many topics in science, mathematics, history and politics, in which Freeman Dyson has been so active and well respected around the world. |
| paul erdos documentary: N is a Number George P. Csicsery, 2005-09-16 N is a Number is a one-hour documentary film that presents Paul Erdös' mathematical quest, its personal and philosophical dimensions, and the tragic historical events that molded his life. Two animated sequences illustrate the kinds of problems Erdös pursued throughout his life. VHS/PAL video tape. |
| paul erdos documentary: Mathematicians Fleeing from Nazi Germany Reinhard Siegmund-Schultze, 2009-07-06 The emigration of mathematicians from Europe during the Nazi era signaled an irrevocable and important historical shift for the international mathematics world. Mathematicians Fleeing from Nazi Germany is the first thoroughly documented account of this exodus. In this greatly expanded translation of the 1998 German edition, Reinhard Siegmund-Schultze describes the flight of more than 140 mathematicians, their reasons for leaving, the political and economic issues involved, the reception of these emigrants by various countries, and the emigrants' continuing contributions to mathematics. The influx of these brilliant thinkers to other nations profoundly reconfigured the mathematics world and vaulted the United States into a new leadership role in mathematics research. Based on archival sources that have never been examined before, the book discusses the preeminent emigrant mathematicians of the period, including Emmy Noether, John von Neumann, Hermann Weyl, and many others. The author explores the mechanisms of the expulsion of mathematicians from Germany, the emigrants' acculturation to their new host countries, and the fates of those mathematicians forced to stay behind. The book reveals the alienation and solidarity of the emigrants, and investigates the global development of mathematics as a consequence of their radical migration. An in-depth yet accessible look at mathematics both as a scientific enterprise and human endeavor, Mathematicians Fleeing from Nazi Germany provides a vivid picture of a critical chapter in the history of international science. |
| paul erdos documentary: The Man Who Loved Only Numbers Paul Hoffman, 2024-05-07 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 |
| paul erdos documentary: Magical Mathematics Persi Diaconis, Ron Graham, 2015-10-13 Magical Mathematics reveals the secrets of amazing, fun-to-perform card tricks--and the profound mathematical ideas behind them--that will astound even the most accomplished magician. Persi Diaconis and Ron Graham provide easy, step-by-step instructions for each trick, explaining how to set up the effect and offering tips on what to say and do while performing it. Each card trick introduces a new mathematical idea, and varying the tricks in turn takes readers to the very threshold of today's mathematical knowledge. For example, the Gilbreath principle--a fantastic effect where the cards remain in control despite being shuffled--is found to share an intimate connection with the Mandelbrot set. Other card tricks link to the mathematical secrets of combinatorics, graph theory, number theory, topology, the Riemann hypothesis, and even Fermat's last theorem. Diaconis and Graham are mathematicians as well as skilled performers with decades of professional experience between them. In this book they share a wealth of conjuring lore, including some closely guarded secrets of legendary magicians. Magical Mathematics covers the mathematics of juggling and shows how the I Ching connects to the history of probability and magic tricks both old and new. It tells the stories--and reveals the best tricks--of the eccentric and brilliant inventors of mathematical magic. Magical Mathematics exposes old gambling secrets through the mathematics of shuffling cards, explains the classic street-gambling scam of three-card monte, traces the history of mathematical magic back to the thirteenth century and the oldest mathematical trick--and much more- |
| paul erdos documentary: The Edge of the Universe Deanna Haunsperger, Stephen Kennedy, 2006 Beautifully printed with 24 pages of full color. Ideal for Math Clubs. Math Horizons is a magazine that celebrates the people and ideas which are mathematics. Containing the editor.s selections from the first ten years of the magazine.s existence, this volume features exquisite expositions of undergraduate-level mathematics. Broad and appealing, the coverage also includes fiction with mathematical themes; literary, theatrical, and cinematic criticism; humor; history; and social history. Mathematics is shown as a human endeavor through biographies and interviews of mathematicians and users of mathematics including artists, writers, and scientists. The puzzles, games, and activities throughout make it a valuable resource for student math clubs. Though especially appealing to students of mathematics from high school to graduate school and their teachers, this collection is an eclectic and wide-ranging look at the culture of mathematics, and offers enjoyable reading for anyone with an interest in mathematics. |
| paul erdos documentary: Genius at Play Siobhan Roberts, 2024-10-29 A multifaceted biography of a brilliant mathematician and iconoclast A mathematician unlike any other, John Horton Conway (1937–2020) possessed a rock star’s charisma, a polymath’s promiscuous curiosity, and a sly sense of humor. Conway found fame as a barefoot professor at Cambridge, where he discovered the Conway groups in mathematical symmetry and the aptly named surreal numbers. He also invented the cult classic Game of Life, a cellular automaton that demonstrates how simplicity generates complexity—and provides an analogy for mathematics and the entire universe. Moving to Princeton in 1987, Conway used ropes, dice, pennies, coat hangers, and the occasional Slinky to illustrate his winning imagination and share his nerdish delights. Genius at Play tells the story of this ambassador-at-large for the beauties and joys of mathematics, lays bare Conway’s personal and professional idiosyncrasies, and offers an intimate look into the mind of one of the twentieth century’s most endearing and original intellectuals. |
| paul erdos documentary: King of Infinite Space Siobhan Roberts, 2007-07 In the tradition of A Beautiful Mind, here is an engaging biography of a world-famous Canadian geometry genius, Donald Coxeter, whose work has slowly and steadily become the air we breathe, with everyday applications in telecommunication and e-commerce, among other fields. King of Infinite Space combines two bestselling categories, popular science and biography. It makes geometry accessible through the fascinating life of the 20th century's greatest classical geometer -- a man who also happens to be a Canadian. Coxeter's story weaves together several rich and surprising threads, from the idiosyncratic nature of his personal life to the geopolitical fabric of his times -- what he calls the wild wicked world -- and illuminates the importance of mathematics therein. Indeed, Coxeter is credited with saving classical geometry from near extinction: for over fifty years, he fought a quiet war of attrition against disdain for his unfashionable geometry, stoically retaining his passion for the beauty of shapes. |
| paul erdos documentary: Thinking in Numbers Daniel Tammet, 2014-07-01 The book that Daniel Tammet, bestselling author and mathematical savant, was born to write. In Tammet's world, numbers are beautiful and mathematics illuminates our lives and minds. Using anecdotes, everyday examples, and ruminations on history, literature, and more, Tammet allows us to share his unique insights and delight in the way numbers, fractions, and equations underpin all our lives. His idiosyncratic worldview gives us new perspecttives on the universal questions of what it is to be human and how we make meaning. This book will change the way you think about math and fire your imagination to see the world with fresh eyes.--From publisher description. |
| paul erdos documentary: A Bright Shining Lie Neil Sheehan, 2009-10-20 One of the most acclaimed books of our time—the definitive Vietnam War exposé and the winner of the Pulitzer Prize and the National Book Award. When he came to Vietnam in 1962, Lieutenant Colonel John Paul Vann was the one clear-sighted participant in an enterprise riddled with arrogance and self-deception, a charismatic soldier who put his life and career on the line in an attempt to convince his superiors that the war should be fought another way. By the time he died in 1972, Vann had embraced the follies he once decried. He died believing that the war had been won. In this magisterial book, a monument of history and biography that was awarded the National Book Award and the Pulitzer Prize for Nonfiction, a renowned journalist tells the story of John Vann—the one irreplaceable American in Vietnam—and of the tragedy that destroyed a country and squandered so much of America's young manhood and resources. |
| paul erdos documentary: Erdös Centennial László Lovász, Imre Ruzsa, Vera T. Sós, 2014-01-24 Paul Erdös was one of the most influential mathematicians of the twentieth century, whose work in number theory, combinatorics, set theory, analysis, and other branches of mathematics has determined the development of large areas of these fields. In 1999, a conference was organized to survey his work, his contributions to mathematics, and the far-reaching impact of his work on many branches of mathematics. On the 100th anniversary of his birth, this volume undertakes the almost impossible task to describe the ways in which problems raised by him and topics initiated by him (indeed, whole branches of mathematics) continue to flourish. Written by outstanding researchers in these areas, these papers include extensive surveys of classical results as well as of new developments. |
| paul erdos documentary: Mathematics Education and Language Diversity Richard Barwell, Philip Clarkson, Anjum Halai, Mercy Kazima, Judit Moschkovich, Núria Planas, Mamokgethi Setati-Phakeng, Paola Valero, Martha Villavicencio Ubillús, 2015-11-25 *THIS BOOK IS AVAILABLE AS OPEN ACCESS BOOK ON SPRINGERLINK* This book examines multiple facets of language diversity and mathematics education. It features renowned authors from around the world and explores the learning and teaching of mathematics in contexts that include multilingual classrooms, indigenous education, teacher education, blind and deaf learners, new media and tertiary education. Each chapter draws on research from two or more countries to illustrate important research findings, theoretical developments and practical strategies. This open access book examines multiple facets of language diversity |
| paul erdos documentary: Imagine Jonah Lehrer, 2012 How do you measure the imagination? How do you quantify an epiphany? In Jonah Lehrer's book, we go in search of the epiphany. Shattering the myth of creative 'types', Lehrer shows how new research is deepening our understanding of the human imagination. |
| paul erdos documentary: How Mathematicians Think William Byers, 2010-05-02 To many outsiders, mathematicians appear to think like computers, grimly grinding away with a strict formal logic and moving methodically--even algorithmically--from one black-and-white deduction to another. Yet mathematicians often describe their most important breakthroughs as creative, intuitive responses to ambiguity, contradiction, and paradox. A unique examination of this less-familiar aspect of mathematics, How Mathematicians Think reveals that mathematics is a profoundly creative activity and not just a body of formalized rules and results. Nonlogical qualities, William Byers shows, play an essential role in mathematics. Ambiguities, contradictions, and paradoxes can arise when ideas developed in different contexts come into contact. Uncertainties and conflicts do not impede but rather spur the development of mathematics. Creativity often means bringing apparently incompatible perspectives together as complementary aspects of a new, more subtle theory. The secret of mathematics is not to be found only in its logical structure. The creative dimensions of mathematical work have great implications for our notions of mathematical and scientific truth, and How Mathematicians Think provides a novel approach to many fundamental questions. Is mathematics objectively true? Is it discovered or invented? And is there such a thing as a final scientific theory? Ultimately, How Mathematicians Think shows that the nature of mathematical thinking can teach us a great deal about the human condition itself. |
| paul erdos documentary: How Euler Did Even More C. Edward Sandifer, 2014-11-19 Sandifer has been studying Euler for decades and is one of the world’s leading experts on his work. This volume is the second collection of Sandifer’s “How Euler Did It” columns. Each is a jewel of historical and mathematical exposition. The sum total of years of work and study of the most prolific mathematician of history, this volume will leave you marveling at Euler’s clever inventiveness and Sandifer’s wonderful ability to explicate and put it all in context. |
| paul erdos documentary: The Poincare Conjecture Donal O'Shea, 2009-05-26 Henri Poincaré was one of the greatest mathematicians of the late nineteenth and early twentieth century. He revolutionized the field of topology, which studies properties of geometric configurations that are unchanged by stretching or twisting. The Poincaré conjecture lies at the heart of modern geometry and topology, and even pertains to the possible shape of the universe. The conjecture states that there is only one shape possible for a finite universe in which every loop can be contracted to a single point. Poincaré's conjecture is one of the seven millennium problems that bring a one-million-dollar award for a solution. Grigory Perelman, a Russian mathematician, has offered a proof that is likely to win the Fields Medal, the mathematical equivalent of a Nobel prize, in August 2006. He also will almost certainly share a Clay Institute millennium award. In telling the vibrant story of The Poincaré Conjecture, Donal O'Shea makes accessible to general readers for the first time the meaning of the conjecture, and brings alive the field of mathematics and the achievements of generations of mathematicians whose work have led to Perelman's proof of this famous conjecture. |
| paul erdos documentary: Wings of Madness Paul Hoffman, 2003 By the turn of the century, Santos-Dumont had moved to Paris. Soon, the dashing and impeccably dressed aeronaut was barhopping around the city in a one-man dirigible he invented, circling above crowds and crashing into rooftops. Eventually, he would join the world-wide competition to build the first true airplane. Once he succeeded, the press hailed him as the man who had conquered the air. (Because the Wright brothers worked in near secrecy, word of their first flights had not widely reached Europe when Santos-Dumon took to the skies.) His picture appeared on cigar boxes and dinner plates and he dined regularly with the Cartiers, the Rothschilds, and the Roosevelts, hosting aerial dinners in which his guests ate at an elevated table so they could imagine how it felt to be above the world. But all would change after Santos-Dumont witnessed the destructive capacity of flying machines in World War I.--BOOK JACKET. |
| paul erdos documentary: Network Science Albert-László Barabási, Márton PÃ3sfai, 2016-07-21 Illustrated throughout in full colour, this pioneering text is the only book you need for an introduction to network science. |
| paul erdos documentary: Combinatorics, Paul Erdős is Eighty Paul Erdős, 1993 |
| paul erdos documentary: Families Without Fatherhood Norman Dennis, George Erdos, 2000 |
| paul erdos documentary: A Mathematician's Apology G. H. Hardy, 2021-02-18 A Mathematician's Apology is the famous essay by British mathematician G. H. Hardy. It concerns the aesthetics of mathematics with some personal content, and gives the layman an insight into the mind of a working mathematician. Indeed, this book is often considered one of the best insights into the mind of a working mathematician written for the layman. A Mathematician's Apology is the famous essay by British mathematician G. H. Hardy. It concerns the aesthetics of mathematics with some personal content, and gives the layman an insight into the mind of a working mathematician. Indeed, this book is often considered one of the best insights into the mind of a working mathematician written for the layman. |
Pains - PAUL
Depuis plus de 130 ans, la Maison PAUL imagine et confectionne son pain dans la tradition de l'art de vivre à la française. Au fil du temps, nous nous efforçons également d'inventer de nouvelles …
Pâtisserie - PAUL
Maison boulangère de qualité depuis 1889, PAUL vous propose un assortiment de pâtisseries gourmandes et sophistiquées. Des plus classiques aux plus audacieuses, nos pâtisseries, …
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PARIS SAINT ANTOINE - PAUL
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La Défense - PAUL
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Traiteur Paris : plateau repas, entreprise & événementiel - Paul
Paris est la capitale de l’amour, de l’élégance, de la mode et de la vie romantique. Au gré de ces cafés, croissants et viennoiseries, PAUL Traiteur a peu à peu développé une gamme de mets …
Quiches & Pizzas - Repas chaud - PAUL
Établie depuis 1889, la Maison PAUL conçoit chaque jour de délicieuses quiches et pizzas pour vos repas du midi. Nos produits sont fabriqués avec soin et sont désormais disponibles à emporter …
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Conformément à la loi Informatique et Libertés n°78-17 du 6 janvier 1978 modifiée et au Règlement Général sur la Protection des Données à caractère personnel n° 2016/679/UE du 27 avril 2016, …
Pains - PAUL
Depuis plus de 130 ans, la Maison PAUL imagine et confectionne son pain dans la tradition de l'art de vivre à la française. Au fil du temps, nous nous efforçons également d'inventer de …
Pâtisserie - PAUL
Maison boulangère de qualité depuis 1889, PAUL vous propose un assortiment de pâtisseries gourmandes et sophistiquées. Des plus classiques aux plus audacieuses, nos pâtisseries, …
Localiser un magasin - PAUL
Non disponible Choisir le retrait dans ce magasin Trouver un autre magasin de retrait
Viennoiseries Individuelles : pains chocolat, croissants ... - PAUL
La Maison PAUL vous propose sa sélection variée de viennoiseries et autres créations gourmandes à commander directement sur notre site. Chez PAUL nous nous engageons à …
ROISSY CDG T3 ZP - PAUL
The store will not work correctly in the case when cookies are disabled.
PARIS SAINT ANTOINE - PAUL
The store will not work correctly in the case when cookies are disabled.
La Défense - PAUL
The store will not work correctly in the case when cookies are disabled.
Traiteur Paris : plateau repas, entreprise & événementiel - Paul
Paris est la capitale de l’amour, de l’élégance, de la mode et de la vie romantique. Au gré de ces cafés, croissants et viennoiseries, PAUL Traiteur a peu à peu développé une gamme de mets …
Quiches & Pizzas - Repas chaud - PAUL
Établie depuis 1889, la Maison PAUL conçoit chaque jour de délicieuses quiches et pizzas pour vos repas du midi. Nos produits sont fabriqués avec soin et sont désormais disponibles à …
Contactez-nous - PAUL
Conformément à la loi Informatique et Libertés n°78-17 du 6 janvier 1978 modifiée et au Règlement Général sur la Protection des Données à caractère personnel n° 2016/679/UE du …
