Resurgence Physics And Numbers

Author : Frédéric Fauvet
Publisher : Springer
ISBN 13 : 8876426132
Total Pages : 384 pages
Book Rating : 4.31/5 ( download)

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Download or read book Resurgence, Physics and Numbers written by Frédéric Fauvet and published by Springer. This book was released on 2017-11-17 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Graham Farmelo
Publisher : Basic Books
ISBN 13 : 1541673921
Total Pages : 304 pages
Book Rating : 4.22/5 ( download)

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Download or read book The Universe Speaks in Numbers written by Graham Farmelo and published by Basic Books. This book was released on 2019-05-28 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: How math helps us solve the universe's deepest mysteries One 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.

Author :
Publisher :
ISBN 13 :
Total Pages : 356 pages
Book Rating : 4.41/5 ( download)

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Download or read book Resurgence written by and published by . This book was released on 1987 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Vasili? Sergeevich Vladimirov
Publisher : World Scientific
ISBN 13 : 9789810208806
Total Pages : 350 pages
Book Rating : 4.04/5 ( download)

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Download or read book P-adic Analysis and Mathematical Physics written by Vasili? Sergeevich Vladimirov and published by World Scientific. This book was released on 1994 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Louise Nyssen
Publisher : Transaction Publishers
ISBN 13 : 9783037190289
Total Pages : 278 pages
Book Rating : 4.80/5 ( download)

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Download or read book Physics and Number Theory written by Louise Nyssen and published by Transaction Publishers. This book was released on 2006 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Michael Borinsky
Publisher : Springer
ISBN 13 : 3030035417
Total Pages : 173 pages
Book Rating : 4.19/5 ( download)

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Download or read book Graphs in Perturbation Theory written by Michael Borinsky and published by Springer. This book was released on 2018-11-04 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Jürgen Jost
Publisher : Springer Science & Business Media
ISBN 13 : 3642005411
Total Pages : 226 pages
Book Rating : 4.11/5 ( download)

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Download or read book Geometry and Physics written by Jürgen Jost and published by Springer Science & Business Media. This book was released on 2009-08-17 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Geometry and Physics" addresses mathematicians wanting to understand modern physics, and physicists wanting to learn geometry. It gives an introduction to modern quantum field theory and related areas of theoretical high-energy physics from the perspective of Riemannian geometry, and an introduction to modern geometry as needed and utilized in modern physics. Jürgen Jost, a well-known research mathematician and advanced textbook author, also develops important geometric concepts and methods that can be used for the structures of physics. In particular, he discusses the Lagrangians of the standard model and its supersymmetric extensions from a geometric perspective.

Author : I︠U︡. S. Ilʹi︠a︡shenko
Publisher : American Mathematical Soc.
ISBN 13 : 0821836676
Total Pages : 641 pages
Book Rating : 4.75/5 ( download)

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Download or read book Lectures on Analytic Differential Equations written by I︠U︡. S. Ilʹi︠a︡shenko and published by American Mathematical Soc.. This book was released on 2008 with total page 641 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book combines the features of a graduate-level textbook with those of a research monograph and survey of the recent results on analysis and geometry of differential equations in the real and complex domain. As a graduate textbook, it includes self-contained, sometimes considerably simplified demonstrations of several fundamental results, which previously appeared only in journal publications (desingularization of planar analytic vector fields, existence of analytic separatrices, positive and negative results on the Riemann-Hilbert problem, Ecalle-Voronin and Martinet-Ramis moduli, solution of the Poincare problem on the degree of an algebraic separatrix, etc.). As a research monograph, it explores in a systematic way the algebraic decidability of local classification problems, rigidity of holomorphic foliations, etc. Each section ends with a collection of problems, partly intended to help the reader to gain understanding and experience with the material, partly drafting demonstrations of the mor The exposition of the book is mostly geometric, though the algebraic side of the constructions is also prominently featured. on several occasions the reader is introduced to adjacent areas, such as intersection theory for divisors on the projective plane or geometric theory of holomorphic vector bundles with meromorphic connections. The book provides the reader with the principal tools of the modern theory of analytic differential equations and intends to serve as a standard source for references in this area.

Author : Isham Chris J
Publisher : World Scientific
ISBN 13 : 191129802X
Total Pages : 276 pages
Book Rating : 4.21/5 ( download)

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Download or read book Lectures On Quantum Theory: Mathematical And Structural Foundations written by Isham Chris J and published by World Scientific. This book was released on 1995-09-01 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on material taught to final-year physics undergraduates as part of the theoretical physics option at Imperial College. After a self-contained introduction to the essential ideas of vector spaces and linear operators, a bridge is built between the concepts and mathematics of classical physics, and the new mathematical framework employed in quantum mechanics. The axioms of nonrelativistic quantum theory are introduced, and shown to lead to a variety of new conceptual problems. Subjects discussed include state-vector reduction, the problem of measurement, quantum entanglement, the Kochen-Specker theorem, and the Bell inequalities. The book includes twenty-five problems with worked solutions.

Author : Zoran Rakic
Publisher : American Institute of Physics
ISBN 13 :
Total Pages : 392 pages
Book Rating : 4.17/5 ( download)

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Download or read book P-Adic Mathematical Physics written by Zoran Rakic and published by American Institute of Physics. This book was released on 2006-04-06 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of this conference was recent developments in p-adic mathematical physics and related areas. The field of p-Adic mathematical physics was conceived in 1987 as a result of attempts to find non-Archimedean approaches to space-time at the Planck scale as well as to strings. Since then, many applications of p-adic numbers and adeles in physics and related sciences have emerged. Some of them are p-adic and adelic string theory, p-adic and adelic quantum mechanics and quantum field theory, ultrametricity of spin glasses, biological and hierarchical systems, p-adic dynamical systems, p-adic probability theory, p-adic models of cognitive processes and cryptography, as well as p-adic and adelic cosmology.