Download or read book The Symmetries of Things written by John H. Conway and published by CRC Press. This book was released on 2016-04-05 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: Start with a single shape. Repeat it in some way—translation, reflection over a line, rotation around a point—and you have created symmetry. Symmetry is a fundamental phenomenon in art, science, and nature that has been captured, described, and analyzed using mathematical concepts for a long time. Inspired by the geometric intuition of Bill Thurston and empowered by his own analytical skills, John Conway, with his coauthors, has developed a comprehensive mathematical theory of symmetry that allows the description and classification of symmetries in numerous geometric environments. This richly and compellingly illustrated book addresses the phenomenological, analytical, and mathematical aspects of symmetry on three levels that build on one another and will speak to interested lay people, artists, working mathematicians, and researchers.

Download or read book Origin of Symmetries written by C. D. Froggatt and published by World Scientific. This book was released on 1991 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: The development in our understanding of symmetry principles is reviewed. Many symmetries, such as charge conjugation, parity and strangeness, are no longer considered as fundamental but as natural consequences of a gauge field theory of strong and electromagnetic interactions. Other symmetries arise naturally from physical models in some limiting situation, such as for low energy or low mass. Random dynamics and attempts to explain all symmetries ? even Lorentz invariance and gauge invariance ? without appealing to any fundamental invariance of the laws of nature are discussed. A selection of original papers is reprinted.

Download or read book Gut Symmetries written by Jeanette Winterson and published by Vintage. This book was released on 2013-04-17 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt: The highwire artist of the English novel redraws the romantic triangle for the post-Einsteinian universe, where gender is as elastic as matter, and any accurate Grand Unified Theory (GUT) must encompass desire alongside electromagnetism and gravity. One starry night on a boat in the mid-Atlantic, Alice, a brilliant English theoretical physicist, begins an affair with Jove, her remorselessly seductive American counterpart. But Jove is married. When Alice confronts his wife, Stella, she swiftly falls in love with her, with consequences that are by turns horrifying, comic, and arousing. Vaulting from Liverpool to New York, from alchemy to string theory, and from the spirit to the flesh, Gut Symmetries is a thrillingly original novel by England's most flamboyantly gifted young writer. "Winterson is unmatched among contemporary writers in her ability to conjure up new-world wonder...A beautiful, stirring and brilliant story."--Times Literary Supplement "Dazzling for [its] intelligence and inventiveness...[Winterson] is possessed of a masterly command of the language and a truly pliant imagination."--Elle "One of our most brilliant, visionary storytellers."--San Francisco Chronicle

Download or read book Symmetries and Group Theory in Particle Physics written by Giovanni Costa and published by Springer. This book was released on 2012-02-03 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symmetries, coupled with the mathematical concept of group theory, are an essential conceptual backbone in the formulation of quantum field theories capable of describing the world of elementary particles. This primer is an introduction to and survey of the underlying concepts and structures needed in order to understand and handle these powerful tools. Specifically, in Part I of the book the symmetries and related group theoretical structures of the Minkowskian space-time manifold are analyzed, while Part II examines the internal symmetries and their related unitary groups, where the interactions between fundamental particles are encoded as we know them from the present standard model of particle physics. This book, based on several courses given by the authors, addresses advanced graduate students and non-specialist researchers wishing to enter active research in the field, and having a working knowledge of classical field theory and relativistic quantum mechanics. Numerous end-of-chapter problems and their solutions will facilitate the use of this book as self-study guide or as course book for topical lectures.

Download or read book Physics from Symmetry written by Jakob Schwichtenberg and published by Springer. This book was released on 2017-12-01 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a textbook that derives the fundamental theories of physics from symmetry. It starts by introducing, in a completely self-contained way, all mathematical tools needed to use symmetry ideas in physics. Thereafter, these tools are put into action and by using symmetry constraints, the fundamental equations of Quantum Mechanics, Quantum Field Theory, Electromagnetism, and Classical Mechanics are derived. As a result, the reader is able to understand the basic assumptions behind, and the connections between the modern theories of physics. The book concludes with first applications of the previously derived equations. Thanks to the input of readers from around the world, this second edition has been purged of typographical errors and also contains several revised sections with improved explanations.

Download or read book Numbers and Symmetry written by Bernard L. Johnston and published by CRC Press. This book was released on 2020-07-25 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook presents modern algebra from the ground up using numbers and symmetry. The idea of a ring and of a field are introduced in the context of concrete number systems. Groups arise from considering transformations of simple geometric objects. The analysis of symmetry provides the student with a visual introduction to the central algebraic notion of isomorphism. Designed for a typical one-semester undergraduate course in modern algebra, it provides a gentle introduction to the subject by allowing students to see the ideas at work in accessible examples, rather than plunging them immediately into a sea of formalism. The student is involved at once with interesting algebraic structures, such as the Gaussian integers and the various rings of integers modulo n, and is encouraged to take the time to explore and become familiar with those structures. In terms of classical algebraic structures, the text divides roughly into three parts:

Download or read book Groups and Symmetry written by David W. Farmer and published by American Mathematical Soc.. This book was released on 1991 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics is discovered by looking at examples, noticing patterns, making conjectures, and testing those conjectures. Once discovered, the final results get organized and put in textbooks. The details and the excitement of the discovery are lost. This book introduces the reader to the excitement of the original discovery. By means of a wide variety of tasks, readers are led to find interesting examples, notice patterns, devise rules to explain the patterns, and discover mathematics for themselves. The subject studied here is the mathematics behind the idea of symmetry, but the methods and ideas apply to all of mathematics. The only prerequisites are enthusiasm and a knowledge of basic high-school math. The book is only a guide. It will start you off in the right direction and bring you back if you stray too far. The excitement and the discovery are left to you.

Download or read book Why Beauty Is Truth written by Ian Stewart and published by . This book was released on 2008-04-29 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: Physics.

Download or read book Symmetries in Quantum Physics written by U. Fano and published by Elsevier. This book was released on 1996-06-17 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text focuses on the physics of symmetries, developing symmetries and transformations through concrete physical examples and contexts rather than presenting the information axiomatically, mathematically, and abstractly. Readers are introduced gradually to advanced mathematical procedures, including the Wigner and Racah algebras and their applications to various symmetry groups. The book also includes some of the latest research on the use of non-invariance and non-compact groups in the consideration of relativistic and many-particle problems of atoms and nuclei.This book is an updated replacement for the text Irreducible Tensorial Sets (Academic Press, 1959). Parts A and B of the present book grew out of occasional lectures in the intervening decades at the University of Chicago, where it became neccessary to update or elaborate upon certain points. Part C has been built more recently to deal with innovations and new information in the field of mathematical physics. The book as a whole develops the subject of symmetry from a physical point of view, allowing students and researchers to gain new insight on their subject. This book can be used both as a text and as a reference by students and scientists in the field.Adapts and extends the earlier Irreducible Tensor Sets (Academic Press, 1959) to classroom useExtends to multi-particle systems and relativityIncludes problems in each chapter for homework assignmentsEmbraces the latest research on non-invariance groups

Download or read book Fields Symmetries and Quarks written by Ulrich Mosel and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: This revised and extended edition of the book Fields, Symmetries, and Quarks, originally published by McGraw-Hill Book Company, Hamburg, 1989, contains a new chapter on electroweak interactions which has also grown out of lectures that I have given in the meantime. In addition, a number of changes, mainly in the metric used, in the discussion of the theory of strong interactions, QCD, and in the chapter on hadron physics, have been made and errors have been corrected. The motivation for this book, however, is still the same as it was 10 years ago: This is a book on quantum field theory and our present understanding of leptons and hadrons for advanced students and the non-specialists and, in particular, the experimentalists working on problems of nuclear and hadron physics. I am grateful to Dr. S. Leupold for a very careful reading of the revised manuscript, many corrections, and helpful suggestions and to C. Traxler for producing the figures and for constructive discussions.

Download or read book Symmetry Analysis of Differential Equations with Mathematica written by Gerd Baumann and published by Springer Science & Business Media. This book was released on 2000-04-20 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first book to explicitly use Mathematica so as to allow researchers and students to more easily compute and solve almost any kind of differential equation using Lie's theory. Previously time-consuming and cumbersome calculations are now much more easily and quickly performed using the Mathematica computer algebra software. The material in this book, and on the accompanying CD-ROM, will be of interest to a broad group of scientists, mathematicians and engineers involved in dealing with symmetry analysis of differential equations. Each section of the book starts with a theoretical discussion of the material, then shows the application in connection with Mathematica. The cross-platform CD-ROM contains Mathematica (version 3.0) notebooks which allow users to directly interact with the code presented within the book. In addition, the author's proprietary "MathLie" software is included, so users can readily learn to use this powerful tool in regard to performing algebraic computations.

Download or read book Symmetry in Graphs written by Ted Dobson and published by Cambridge University Press. This book was released on 2022-05-12 with total page 527 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first full-length book on the theme of symmetry in graphs, a fast-growing topic in algebraic graph theory.

Download or read book Symmetries in Fundamental Physics written by Kurt Sundermeyer and published by Springer. This book was released on 2014-07-23 with total page 806 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the course of the last century it has become clear that both elementary particle physics and relativity theories are based on the notion of symmetries. These symmetries become manifest in that the "laws of nature" are invariant under spacetime transformations and/or gauge transformations. The consequences of these symmetries were analyzed as early as in 1918 by Emmy Noether on the level of action functionals. Her work did not receive due recognition for nearly half a century, but can today be understood as a recurring theme in classical mechanics, electrodynamics and special relativity, Yang-Mills type quantum field theories, and in general relativity. As a matter of fact, as shown in this monograph, many aspects of physics can be derived solely from symmetry considerations. This substantiates the statement of E.P. Wigner "... if we knew all the laws of nature, or the ultimate Law of nature, the invariance properties of these laws would not furnish us new information." Thanks to Wigner we now also understand the implications of quantum physics and symmetry considerations: Poincare invariance dictates both the characteristic properties of particles (mass, spin, ...) and the wave equations of spin 0, 1/2, 1, ... objects. Further, the work of C.N. Yang and R. Mills reveals the consequences of internal symmetries as exemplified in the symmetry group of elementary particle physics. Given this pivotal role of symmetries it is thus not surprising that current research in fundamental physics is to a great degree motivated and inspired by considerations of symmetry. The treatment of symmetries in this monograph ranges from classical physics to now well-established theories of fundamental interactions, to the latest research on unified theories and quantum gravity.

Download or read book Symmetries in Physics written by Katherine Brading and published by Cambridge University Press. This book was released on 2003-12-04 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together philosophical discussions of symmetry in physics, highlighting the main issues and controversies. It covers all the fundamental symmetries of modern physics, as well as discussing symmetry-breaking and general interpretational issues. For each topic, classic texts are followed by review articles and short commentaries.

Download or read book Introduction to Symmetry Analysis written by Brian J. Cantwell and published by Cambridge University Press. This book was released on 2002-09-26 with total page 655 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Symmetry written by Hermann Weyl and published by Princeton University Press. This book was released on 2015-07-06 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symmetry is a classic study of symmetry in mathematics, the sciences, nature, and art from one of the twentieth century's greatest mathematicians. Hermann Weyl explores the concept of symmetry beginning with the idea that it represents a harmony of proportions, and gradually departs to examine its more abstract varieties and manifestations—as bilateral, translatory, rotational, ornamental, and crystallographic. Weyl investigates the general abstract mathematical idea underlying all these special forms, using a wealth of illustrations as support. Symmetry is a work of seminal relevance that explores the great variety of applications and importance of symmetry.

Download or read book Groups and Symmetry written by Mark A. Armstrong and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a gentle introduction to the vocabulary and many of the highlights of elementary group theory. Written in an informal style, the material is divided into short sections, each of which deals with an important result or a new idea. Includes more than 300 exercises and approximately 60 illustrations.