Resurgence Physics And Numbers
DOWNLOAD eBooks
Download Resurgence Physics And Numbers PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Resurgence Physics And Numbers book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Resurgence Physics And Numbers
DOWNLOAD eBooks
Author : Frédéric Fauvet
language : en
Publisher: Springer
Release Date : 2017-11-17
Resurgence Physics And Numbers written by Frédéric Fauvet and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-17 with Science categories.
This book is issued from a conference around resurgent functions in Physics and multiple zetavalues, which was held at the Centro di Ricerca Matematica Ennio de Giorgi in Pisa, on May 18-22, 2015. This meeting originally stemmed from the impressive upsurge of interest for Jean Ecalle's alien calculus in Physics, in the last years – a trend that has considerably developed since then. The volume contains both original research papers and surveys, by leading experts in the field, reflecting the themes that were tackled at this event: Stokes phenomenon and resurgence, in various mathematical and physical contexts but also related constructions in algebraic combinatorics and results concerning numbers, specifically multiple zetavalues.
The Universe Speaks In Numbers
DOWNLOAD eBooks
Author : Graham Farmelo
language : en
Publisher: Hachette UK
Release Date : 2019-05-28
The Universe Speaks In Numbers written by Graham Farmelo and has been published by Hachette UK this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-28 with Science categories.
How math helps us solve the universe's deepest mysteriesOne of the great insights of science is that the universe has an underlying order. The supreme goal of physicists is to understand this order through laws that describe the behavior of the most basic particles and the forces between them. For centuries, we have searched for these laws by studying the results of experiments. Since the 1970s, however, experiments at the world's most powerful atom-smashers have offered few new clues. So some of the world's leading physicists have looked to a different source of insight: modern mathematics. These physicists are sometimes accused of doing 'fairy-tale physics', unrelated to the real world. But in The Universe Speaks in Numbers, award-winning science writer and biographer Farmelo argues that the physics they are doing is based squarely on the well-established principles of quantum theory and relativity, and part of a tradition dating back to Isaac Newton. With unprecedented access to some of the world's greatest scientific minds, Farmelo offers a vivid, behind-the-scenes account of the blossoming relationship between mathematics and physics and the research that could revolutionize our understanding of reality.A masterful account of the some of the most groundbreaking ideas in physics in the past four decades. The Universe Speaks in Numbers is essential reading for anyone interested in the quest to discover the fundamental laws of nature.
P Adic Analysis And Mathematical Physics
DOWNLOAD eBooks
Author : V S Vladimirov
language : en
Publisher: World Scientific
Release Date : 1994-04-28
P Adic Analysis And Mathematical Physics written by V S Vladimirov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-04-28 with Science categories.
p-adic numbers play a very important role in modern number theory, algebraic geometry and representation theory. Lately p-adic numbers have attracted a great deal of attention in modern theoretical physics as a promising new approach for describing the non-Archimedean geometry of space-time at small distances. This is the first book to deal with applications of p-adic numbers in theoretical and mathematical physics. It gives an elementary and thoroughly written introduction to p-adic numbers and p-adic analysis with great numbers of examples as well as applications of p-adic numbers in classical mechanics, dynamical systems, quantum mechanics, statistical physics, quantum field theory and string theory. Contents:Analysis on the Field p-Adic Numbers:The Field of p-Adic NumbersAnalytic FunctionsAdditive and Multiplicative CharactersIntegration TheoryThe Gaussian IntegralsGeneralized FunctionsConvolution and the Fourier TransformationHomogeneous Generalized FunctionsPseudo-Differential Operators on the Field of p-Adic Numbers:The Operator D?p-Adic Schrodinger Operatorsp-Adic Quantum Theory:p-Adic Quantum MechanicsSpectral Theory in p-Adic Quantum MechanicsWeyl Systems. Infinite Dimensional Casep-Adic Stringsq-Analysis (Quantum Groups) and p-Adic AnalysisStochastic Processes Over the Field of p-Adic Numbers Readership: Students, postgraduates, mathematical physicists, mathematicians and physicists. keywords:Distribution Theory à la Bruhat;Planck Scale;p-Adic Analysis;Gaussian Integrals;Fourier Theory;Convolution of Generalized Functions;p-Adic Quantum Mechanics;Spectral Theory;Weyl Systems;p-Adic Strings;Quantum Groups;q-Analysis;Stochastic Processes
Physics And Number Theory
DOWNLOAD eBooks
Author : Louise Nyssen
language : en
Publisher: Transaction Publishers
Release Date : 2006
Physics And Number Theory written by Louise Nyssen and has been published by Transaction Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematical physics categories.
There is a rich and historical relationship between theoretical physics and number theory. This volume presents a selection of problems which are currently in full development and inspire a lot of research. Each of the seven contributions starts with an introductory survey which makes it possible even for non-specialists to understand the results and to gain an idea of the great variety of subjects and techniques used. Topics covered are: phase locking in oscillating systems, crystallography, Hopf algebras and renormalisation theory, Zeta-function and random matrices, Kloosterman sums and the local Langlands correspondence. Intended for research mathematicians and theoretical physicists as well as graduate students, this volume gives an overview of recent developments in an exciting subject crossing several disciplines.
Dirac Matter
DOWNLOAD eBooks
Author : Bertrand Duplantier
language : en
Publisher: Birkhäuser
Release Date : 2017-01-25
Dirac Matter written by Bertrand Duplantier and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-25 with Science categories.
This fifteenth volume of the Poincare Seminar Series, Dirac Matter, describes the surprising resurgence, as a low-energy effective theory of conducting electrons in many condensed matter systems, including graphene and topological insulators, of the famous equation originally invented by P.A.M. Dirac for relativistic quantum mechanics. In five highly pedagogical articles, as befits their origin in lectures to a broad scientific audience, this book explains why Dirac matters. Highlights include the detailed "Graphene and Relativistic Quantum Physics", written by the experimental pioneer, Philip Kim, and devoted to graphene, a form of carbon crystallized in a two-dimensional hexagonal lattice, from its discovery in 2004-2005 by the future Nobel prize winners Kostya Novoselov and Andre Geim to the so-called relativistic quantum Hall effect; the review entitled "Dirac Fermions in Condensed Matter and Beyond", written by two prominent theoreticians, Mark Goerbig and Gilles Montambaux, who consider many other materials than graphene, collectively known as "Dirac matter", and offer a thorough description of the merging transition of Dirac cones that occurs in the energy spectrum, in various experiments involving stretching of the microscopic hexagonal lattice; the third contribution, entitled "Quantum Transport in Graphene: Impurity Scattering as a Probe of the Dirac Spectrum", given by Hélène Bouchiat, a leading experimentalist in mesoscopic physics, with Sophie Guéron and Chuan Li, shows how measuring electrical transport, in particular magneto-transport in real graphene devices - contaminated by impurities and hence exhibiting a diffusive regime - allows one to deeply probe the Dirac nature of electrons. The last two contributions focus on topological insulators; in the authoritative "Experimental Signatures of Topological Insulators", Laurent Lévy reviews recent experimental progress in the physics of mercury-telluride samples under strain, which demonstrates that the surface of a three-dimensional topological insulator hosts a two-dimensional massless Dirac metal; the illuminating final contribution by David Carpentier, entitled "Topology of Bands in Solids: From Insulators to Dirac Matter", provides a geometric description of Bloch wave functions in terms of Berry phases and parallel transport, and of their topological classification in terms of invariants such as Chern numbers, and ends with a perspective on three-dimensional semi-metals as described by the Weyl equation. This book will be of broad general interest to physicists, mathematicians, and historians of science.
From C Numbers To Q Numbers
DOWNLOAD eBooks
Author : Olivier Darrigol
language : en
Publisher: Univ of California Press
Release Date : 2023-11-15
From C Numbers To Q Numbers written by Olivier Darrigol and has been published by Univ of California Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-11-15 with Science categories.
This title is part of UC Press's Voices Revived program, which commemorates University of California Press’s mission to seek out and cultivate the brightest minds and give them voice, reach, and impact. Drawing on a backlist dating to 1893, Voices Revived makes high-quality, peer-reviewed scholarship accessible once again using print-on-demand technology. This title was originally published in 1992.
Graphs In Perturbation Theory
DOWNLOAD eBooks
Author : Michael Borinsky
language : en
Publisher: Springer
Release Date : 2018-11-04
Graphs In Perturbation Theory written by Michael Borinsky and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-04 with Science categories.
This book is the first systematic study of graphical enumeration and the asymptotic algebraic structures in perturbative quantum field theory. Starting with an exposition of the Hopf algebra structure of generic graphs, it reviews and summarizes the existing literature. It then applies this Hopf algebraic structure to the combinatorics of graphical enumeration for the first time, and introduces a novel method of asymptotic analysis to answer asymptotic questions. This major breakthrough has combinatorial applications far beyond the analysis of graphical enumeration. The book also provides detailed examples for the asymptotics of renormalizable quantum field theories, which underlie the Standard Model of particle physics. A deeper analysis of such renormalizable field theories reveals their algebraic lattice structure. The pedagogical presentation allows readers to apply these new methods to other problems, making this thesis a future classic for the study of asymptotic problems in quantum fields, network theory and far beyond.
Fantastic Numbers And Where To Find Them
DOWNLOAD eBooks
Author : Antonio Padilla
language : en
Publisher: Farrar, Straus and Giroux
Release Date : 2022-07-26
Fantastic Numbers And Where To Find Them written by Antonio Padilla and has been published by Farrar, Straus and Giroux this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-07-26 with Science categories.
A fun, dazzling exploration of the strange numbers that illuminate the ultimate nature of reality. For particularly brilliant theoretical physicists like James Clerk Maxwell, Paul Dirac, or Albert Einstein, the search for mathematical truths led to strange new understandings of the ultimate nature of reality. But what are these truths? What are the mysterious numbers that explain the universe? In Fantastic Numbers and Where to Find Them, the leading theoretical physicist and YouTube star Antonio Padilla takes us on an irreverent cosmic tour of nine of the most extraordinary numbers in physics, offering a startling picture of how the universe works. These strange numbers include Graham’s number, which is so large that if you thought about it in the wrong way, your head would collapse into a singularity; TREE(3), whose finite nature can never be definitively proved, because to do so would take so much time that the universe would experience a Poincaré Recurrence—resetting to precisely the state it currently holds, down to the arrangement of individual atoms; and 10^{-120}, measuring the desperately unlikely balance of energy needed to allow the universe to exist for more than just a moment, to extend beyond the size of a single atom—in other words, the mystery of our unexpected universe. Leading us down the rabbit hole to a deeper understanding of reality, Padilla explains how these unusual numbers are the key to understanding such mind-boggling phenomena as black holes, relativity, and the problem of the cosmological constant—that the two best and most rigorously tested ways of understanding the universe contradict one another. Fantastic Numbers and Where to Find Them is a combination of popular and cutting-edge science—and a lively, entertaining, and even funny exploration of the most fundamental truths about the universe.
Cosmic Numbers
DOWNLOAD eBooks
Author : James D Stein
language : en
Publisher: Hachette UK
Release Date : 2011-09-06
Cosmic Numbers written by James D Stein and has been published by Hachette UK this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-06 with Science categories.
Our fascination with numbers begins when we are children and continues throughout our lives. We start counting our fingers and toes and end up balancing checkbooks and calculating risk. So powerful is the appeal of numbers that many people ascribe to them a mystical significance. Other numbers go beyond the supernatural, working to explain our universe and how it behaves. Cosmic Numbers, mathematics professor James D. Stein traces the discovery, evolution, and interrelationships of the numbers that define our world. Everyone knows about the speed of light and absolute zero, but numbers like Boltzmann's constant and the Chandrasekhar limit are not as well known, and they do far more than one might imagine: They tell us how this world began and what the future holds. Much more than a gee-whiz collection of facts and figures, Cosmic Numbers illuminates why particular numbers are so important -- both to the scientist and to the rest of us.
Are Numbers Real
DOWNLOAD eBooks
Author : Brian Clegg
language : en
Publisher: Hachette UK
Release Date : 2017-02-02
Are Numbers Real written by Brian Clegg and has been published by Hachette UK this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-02-02 with Science categories.
Have you ever wondered what humans did before numbers existed? How they organized their lives, traded goods, or kept track of their treasures? What would your life be like without them? Numbers began as simple representations of everyday things, but mathematics rapidly took on a life of its own, occupying a parallel virtual world. In Are Numbers Real? Brian Clegg explores the way that maths has become more and more detached from reality, yet despite this is driving the development of modern physics. From devising a new counting system based on goats, through the weird and wonderful mathematics of imaginary numbers and infinity to the debate over whether mathematics has too much influence on the direction of science, this fascinating and accessible book opens the reader's eyes to the hidden reality of the strange yet familiar world of numbers.