Adventures in Mathematical Physics

Author: Franois Germinet
Publisher: American Mathematical Soc.
ISBN: 0821857762
Release Date: 2007-11-26
Genre: Science

This volume consists of refereed research articles written by some of the speakers at this international conference in honor of the sixty-fifth birthday of Jean-Michel Combes. The topics span modern mathematical physics with contributions on state-of-the-art results in the theory of random operators, including localization for random Schrodinger operators with general probability measures, random magnetic Schrodinger operators, and interacting multiparticle operators with random potentials; transport properties of Schrodinger operators and classical Hamiltonian systems; equilibrium and nonequilibrium properties of open quantum systems; semiclassical methods for multiparticle systems and long-time evolution of wave packets; modeling of nanostructures; properties of eigenfunctions for first-order systems and solutions to the Ginzburg-Landau system; effective Hamiltonians for quantum resonances; quantum graphs, including scattering theory and trace formulas; random matrix theory; and quantum information theory. Graduate students and researchers will benefit from the accessibility of these articles and their current bibliographies.

Adventures in Theoretical Physics

Author: Stephen L. Adler
Publisher: World Scientific
ISBN: 9789812563705
Release Date: 2006-01
Genre: Science

During the period 1964-1972, Stephen L. Adler wrote seminal papers on high energy neutrino processes, current algebras, soft pion theorems, sum rules, and perturbation theory anomalies that helped lay the foundations for our current standard model of elementary particle physics. These papers are reprinted here together with detailed historical commentaries describing how they evolved, their relation to other work in the field, and their connection to recent literature. Later important work by Dr. Adler on a wide range of topics in fundamental theory, phenomenology, and numerical methods, and their related historical background, is also covered in the commentaries and reprints. This book will be a valuable resource for graduate students and researchers in the fields in which Dr. Adler has worked, and for historians of science studying physics in the final third of the twentieth century, a period in which an enduring synthesis was achieved.

Adventures in Mathematical Physics

Author: François Germinet
Publisher: American Mathematical Soc.
ISBN: 9780821842416
Release Date: 2007
Genre: Science

This volume consists of refereed research articles written by some of the speakers at this international conference in honor of the sixty-fifth birthday of Jean-Michel Combes. The topics span modern mathematical physics with contributions on state-of-the-art results in the theory of random operators, including localization for random Schrodinger operators with general probability measures, random magnetic Schrodinger operators, and interacting multiparticle operators with random potentials; transport properties of Schrodinger operators and classical Hamiltonian systems; equilibrium and nonequilibrium properties of open quantum systems; semiclassical methods for multiparticle systems and long-time evolution of wave packets; modeling of nanostructures; properties of eigenfunctions for first-order systems and solutions to the Ginzburg-Landau system; effective Hamiltonians for quantum resonances; quantum graphs, including scattering theory and trace formulas; random matrix theory; and quantum information theory. Graduate students and researchers will benefit from the accessibility of these articles and their current bibliographies.

Determinants and Their Applications in Mathematical Physics

Author: Robert Vein
Publisher: Springer
ISBN: 9780387985589
Release Date: 1998-11-20
Genre: Mathematics

A unique and detailed account of all important relations in the analytic theory of determinants, from the classical work of Laplace, Cauchy and Jacobi to the latest 20th century developments. The first five chapters are purely mathematical in nature and make extensive use of the column vector notation and scaled cofactors. They contain a number of important relations involving derivatives which prove beyond a doubt that the theory of determinants has emerged from the confines of classical algebra into the brighter world of analysis. Chapter 6 is devoted to the verifications of the known determinantal solutions of several nonlinear equations which arise in three branches of mathematical physics, namely lattice, soliton and relativity theory. The solutions are verified by applying theorems established in earlier chapters, and the book ends with an extensive bibliography and index. Several contributions have never been published before. Indispensable for mathematicians, physicists and engineers wishing to become acquainted with this topic.

Adventures of a Mathematician

Author: S. M. Ulam
Publisher: Univ of California Press
ISBN: 0520910559
Release Date: 1991-06-23
Genre: Mathematics

The autobiography of mathematician Stanislaw Ulam, one of the great scientific minds of the twentieth century, tells a story rich with amazingly prophetic speculations and peppered with lively anecdotes. As a member of the Los Alamos National Laboratory from 1944 on, Ulam helped to precipitate some of the most dramatic changes of the postwar world. He was among the first to use and advocate computers for scientific research, originated ideas for the nuclear propulsion of space vehicles, and made fundamental contributions to many of today's most challenging mathematical projects. With his wide-ranging interests, Ulam never emphasized the importance of his contributions to the research that resulted in the hydrogen bomb. Now Daniel Hirsch and William Mathews reveal the true story of Ulam's pivotal role in the making of the "Super," in their historical introduction to this behind-the-scenes look at the minds and ideas that ushered in the nuclear age. An epilogue by Fran oise Ulam and Jan Mycielski sheds new light on Ulam's character and mathematical originality.

Adventures with Lissajous Figures

Author: Thomas B Greenslade Jr
Publisher: Morgan & Claypool Publishers
ISBN: 9781643270104
Release Date: 2018-06-21
Genre: Science

Lissajous Figures are produced by combining two oscillations at right angles to each other. The figures, drawn by mechanical devices called Harmonographs, have scientific uses, but are also enjoyed for their own beauty. The author has been working with harmonographs since his undergraduate days, has built several of them, lectured about them and has written articles about them. This book is intended for people who enjoy physics or art or both. Certainly physics professionals, both students and faculty members, will enjoy reading about an interesting byway of physics. The book is mainly designed for the reader who has some scientific literacy, but who may not be a scientist. If your mathematics is rusty, a preliminary section on mathematics supplies the necessary background for reading the rest of the book.

Soccermatics

Author: David Sumpter
Publisher: Bloomsbury Publishing
ISBN: 9781472924155
Release Date: 2016-05-05
Genre: Mathematics

'Football looked at in a very different way' Pat Nevin, former Chelsea and Everton star and football media analyst Football – the most mathematical of sports. From shot statistics and league tables to the geometry of passing and managerial strategy, the modern game is filled with numbers, patterns and shapes. How do we make sense of them? The answer lies in the mathematical models applied in biology, physics and economics. Soccermatics brings football and mathematics together in a mind-bending synthesis, using numbers to help reveal the inner workings of the beautiful game. This new and expanded edition analyses the current big-name players and teams using mathematics, and meets the professionals working inside football who use numbers and statistics to boost performance. Welcome to the world of mathematical modelling, expressed brilliantly by David Sumpter through the prism of football. No matter who you follow – from your local non-league side to the big boys of the Premiership, La Liga, the Bundesliga, Serie A or the MLS – you'll be amazed at what mathematics has to teach us about the world's favourite sport.

You Failed Your Math Test Comrade Einstein

Author: Mikhail A. Shifman
Publisher: World Scientific
ISBN: 9789812563583
Release Date: 2005
Genre: Mathematics

This groundbreaking work features two essays written by the renowned mathematician Ilan Vardi. The first essay presents a thorough analysis of contrived problems suggested to “undesirable” applicants to the Department of Mathematics of Moscow University. His second essay gives an in-depth discussion of solutions to the Year 2000 International Mathematical Olympiad, with emphasis on the comparison of the olympiad problems to those given at the Moscow University entrance examinations.The second part of the book provides a historical background of a unique phenomenon in mathematics, which flourished in the 1970s-80s in the USSR. Specially designed math problems were used not to test students' ingenuity and creativity but, rather, as “killer problems,” to deny access to higher education to “undesirable” applicants. The focus of this part is the 1980 essay, “Intellectual Genocide”, written by B Kanevsky and V Senderov. It is being published for the first time. Also featured is a little-known page of the Soviet history, a rare example of the oppressed organizing to defend their dignity. This is the story of the so-called Jewish People's University, the inception of which is associated with Kanevsky, Senderov and Bella Subbotovskaya.

Surely You re Joking Mr Feynman

Author: Richard P Feynman
Publisher: Random House
ISBN: 9781448181476
Release Date: 2014-08-21
Genre: Biography & Autobiography

Winner of the Nobel Prize for Physics in 1965, Richard Feynman was one of the world's greatest theoretical physicists, but he was also a man who fell, often jumped, into adventure. An artist, safecracker, practical joker and storyteller, Feynman's life was a series of combustible combinations made possible by his unique mixture of high intelligence, unquenchable curiosity and eternal scepticism. Over a period of years, Feynman's conversations with his friend Ralph Leighton were first taped and then set down as they appear here, little changed from their spoken form, giving a wise, funny, passionate and totally honest self-portrait of one of the greatest men of our age.

Everywhere and Everywhen

Author: Nick Huggett
Publisher: Oxford University Press
ISBN: 9780195379518
Release Date: 2010
Genre: Philosophy

This book, written for the general reader, explores the fundamental issues concerning the nature of time and space, and quantum mechanics. It shows how physics and philosophy work together to answer some of the deepest questions ever asked about the world.

Das Mathebuch

Author: Clifford A. Pickover
Publisher:
ISBN: 9089982809
Release Date: 2013
Genre:


Alex im Wunderland der Zahlen

Author: Alex Bellos
Publisher: eBook Berlin Verlag
ISBN: 9783827078087
Release Date: 2015-01-19
Genre: Mathematics

Erinnern wir uns nicht alle mit Schrecken an die ratlosen Momente vor der Tafel im Matheunterricht? Mit Kurvendiskussionen und Dreisatz dürften jedenfalls nur wenige Spaß und Spannung verbinden... Bis jetzt! Denn nun wagt sich Alex Bellos in den Kaninchenbau der Mathematik: in das Reich von Geometrie und Algebra, von Wahrscheinlichkeitsrechnung, Statistik und logischen Paradoxa. Auf der anderen Seite des Erdballs, am Amazonas, zählen die Mitglieder des Indianerstammes der Munduruku nur bis fünf und halten die Vorstellung, dass dies nicht genügen solle, für reichlich lächerlich. Bei uns in Deutschland dagegen finden jährlich die Meisterschaften der besten Kopfrechner der Welt statt - 2010 wurde in Magdeburg eine elfjährige Inderin zur Nummer eins unter den "Mathleten" gekürt. Die Mathe-Weltmeisterin unter den Tieren ist hingegen die Schimpansin Ai, die Alex Bellos im japanischen Inuyama aufspürt und über deren Rechenkünste er nur staunen kann. Auch wenn er von den bahnbrechenden Überlegungen Euklids erzählt oder erklärt, warum man in Japan seine Visitenkarten keinesfalls zu Dodekaedern falten sollte - Bellos führt uns durch das wahrhaft erstaunliche Reich der Zahlen und bringt uns eine komplexe Wissenschaft spielerisch nahe. Mit seiner Mischung aus spannender Reportage, Wissenschaftsgeschichte und mathematischen Kabinettstückchen erbringt er souverän den Beweis, dass die Gleichung Mathematik = Langeweile eindeutig nicht wahr ist. Quod erat demonstrandum.

The Best Writing on Mathematics 2011

Author: Mircea Pitici
Publisher: Princeton University Press
ISBN: 9780691153155
Release Date: 2012
Genre: Mathematics

This anthology brings together the year's finest mathematics writing from around the world. Featuring promising new voices alongside some of the foremost names in the field, The Best Writing on Mathematics 2011 makes available to a wide audience many articles not easily found anywhere else--and you don't need to be a mathematician to enjoy them. These writings offer surprising insights into the nature, meaning, and practice of mathematics today. They delve into the history, philosophy, teaching, and everyday occurrences of math, and take readers behind the scenes of today's hottest mathematical debates. Here Ian Hacking discusses the salient features that distinguish mathematics from other disciplines of the mind; Doris Schattschneider identifies some of the mathematical inspirations of M. C. Escher's art; Jordan Ellenberg describes compressed sensing, a mathematical field that is reshaping the way people use large sets of data; Erica Klarreich reports on the use of algorithms in the job market for doctors; and much, much more. In addition to presenting the year's most memorable writings on mathematics, this must-have anthology includes a foreword by esteemed physicist and mathematician Freeman Dyson. This book belongs on the shelf of anyone interested in where math has taken us--and where it is headed.

Stalin s Great Science

Author: A. B. Kozhevnikov
Publisher: Imperial College Press
ISBN: 1860944191
Release Date: 2004
Genre: Science

World-class science and technology developed in the Soviet Union during Stalin's dictatorial rule under conditions of political violence, lack of international contacts, and severe restrictions on the freedom of information. Stalin's Great Science: The Times and Adventures of Soviet Physicists is an invaluable book that investigates this paradoxical success by following the lives and work of Soviet scientists ? including Nobel Prize-winning physicists Kapitza, Landau, and others ? throughout the turmoil of wars, revolutions, and repression that characterized the first half of Russia's twentieth century.The book examines how scientists operated within the Soviet political order, communicated with Stalinist politicians, built a new system of research institutions, and conducted groundbreaking research under extraordinary circumstances. Some of their novel scientific ideas and theories reflected the influence of Soviet ideology and worldview and have since become accepted universally as fundamental concepts of contemporary science. In the process of making sense of the achievements of Soviet science, the book dismantles standard assumptions about the interaction between science, politics, and ideology, as well as many dominant stereotypes ? mostly inherited from the Cold War ? about Soviet history in general. Science and technology were not only granted unprecedented importance in Soviet society, but they also exerted a crucial formative influence on the Soviet political system itself. Unlike most previous studies, Stalin's Great Science recognizes the status of science as an essential element of the Soviet polity and explores the nature of a special relationship between experts (scientists and engineers) and communist politicians that enabled the initial rise of the Soviet state and its mature accomplishments, until the pact eroded in later years, undermining the communist regime from within.