Factoring Groups Into Subsets
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Factoring Groups Into Subsets
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Author : Sandor Szabo
language : en
Publisher: CRC Press
Release Date : 2009-01-21
Factoring Groups Into Subsets written by Sandor Szabo and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-01-21 with Mathematics categories.
Decomposing an abelian group into a direct sum of its subsets leads to results that can be applied to a variety of areas, such as number theory, geometry of tilings, coding theory, cryptography, graph theory, and Fourier analysis. Focusing mainly on cyclic groups, Factoring Groups into Subsets explores the factorization theory of abelian groups. Th
Topics In Factorization Of Abelian Groups
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Author : Sándor Szabó
language : en
Publisher: Springer
Release Date : 2004-01-01
Topics In Factorization Of Abelian Groups written by Sándor Szabó and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-01-01 with Mathematics categories.
Encyclopedic Dictionary Of Mathematics
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Author : Nihon Sūgakkai
language : en
Publisher: MIT Press
Release Date : 1993
Encyclopedic Dictionary Of Mathematics written by Nihon Sūgakkai and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.
V.1. A.N. v.2. O.Z. Apendices and indexes.
Language Change And Variation
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Author : Ralph W. Fasold
language : en
Publisher: John Benjamins Publishing
Release Date : 1989-01-01
Language Change And Variation written by Ralph W. Fasold and has been published by John Benjamins Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-01-01 with Language Arts & Disciplines categories.
The study of language variation in social context continues to hold the attention of a large number of linguists. This research is promoted by the annual colloquia on New Ways of Analyzing Variation in English' (NWAVE). This volume is a selection of revised papers from the NWAVE XI, held at Georgetown University. It deals with a number of items, some of which have often been discussed, others that have been less emphasized. The first group of articles in the volume center on a frequent theme: speech communities as the essential setting for understanding variation in language. Earlier work in linguistic variation dealt for the most part with phonological variation and change. Syntactic and morphological change and variation in syntax are also discussed. A selection on the role of variation in understanding first language acquisition comprises three papers. Articles in the last section of the volume concern theoretical controversy and methodological advances.
Essays In Group Theory
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Author : S.M. Gersten
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Essays In Group Theory written by S.M. Gersten and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Essays in Group Theory contains five papers on topics of current interest which were presented in a seminar at MSRI, Berkeley in June, 1985. Special mention should be given to Gromov`s paper, one of the most significant in the field in the last decade. It develops the theory of hyperbolic groups to include a version of small cancellation theory sufficiently powerful to recover deep results of Ol'shanskii and Rips. Each of the remaining papers, by Baumslag and Shalen, Gersten, Shalen, and Stallings contains gems. For example, the reader will delight in Stallings' explicit construction of free actions of orientable surface groups on R-trees. Gersten's paper lays the foundations for a theory of equations over groups and contains a very quick solution to conjugacy problem for a class of hyperbolic groups. Shalen's article reviews the rapidly expanding theory of group actions on R-trees and the Baumslag-Shalen article uses modular representation theory to establish properties of presentations whose relators are pth-powers.
Topological Groups
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Author : R.V. Gamkrelidze
language : en
Publisher: Routledge
Release Date : 2018-12-12
Topological Groups written by R.V. Gamkrelidze and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-12 with Mathematics categories.
Offering the insights of L.S. Pontryagin, one of the foremost thinkers in modern mathematics, the second volume in this four-volume set examines the nature and processes that make up topological groups. Already hailed as the leading work in this subject for its abundance of examples and its thorough explanations, the text is arranged so that readers can follow the material either sequentially or schematically. Stand-alone chapters cover such topics as topological division rings, linear representations of compact topological groups, and the concept of a lie group.
Arithmetic Of Finite Fields
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Author : M. Anwar Hasan
language : en
Publisher: Springer
Release Date : 2010-06-26
Arithmetic Of Finite Fields written by M. Anwar Hasan and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-06-26 with Computers categories.
This book constitutes the refereed proceedings of the Third International Workshop on the Arithmetic of Finite Fields, WAIFI 2010, held in Istanbul, Turkey, in June 2010. The 15 revised full papers presented were carefully reviewed and selected from 33 submissions. The papers are organized in topical sections on efficient finite field arithmetic, pseudo-random numbers and sequences, Boolean functions, functions, Equations and modular multiplication, finite field arithmetic for pairing based cryptography, and finite field, cryptography and coding.
Applications Of The Theory Of Groups In Mechanics And Physics
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Author : Petre P. Teodorescu
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-04-30
Applications Of The Theory Of Groups In Mechanics And Physics written by Petre P. Teodorescu and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-04-30 with Mathematics categories.
The notion of group is fundamental in our days, not only in mathematics, but also in classical mechanics, electromagnetism, theory of relativity, quantum mechanics, theory of elementary particles, etc. This notion has developed during a century and this development is connected with the names of great mathematicians as E. Galois, A. L. Cauchy, C. F. Gauss, W. R. Hamilton, C. Jordan, S. Lie, E. Cartan, H. Weyl, E. Wigner, and of many others. In mathematics, as in other sciences, the simple and fertile ideas make their way with difficulty and slowly; however, this long history would have been of a minor interest, had the notion of group remained connected only with rather restricted domains of mathematics, those in which it occurred at the beginning. But at present, groups have invaded almost all mathematical disciplines, mechanics, the largest part of physics, of chemistry, etc. We may say, without exaggeration, that this is the most important idea that occurred in mathematics since the invention of infinitesimal calculus; indeed, the notion of group expresses, in a precise and operational form, the vague and universal ideas of regularity and symmetry. The notion of group led to a profound understanding of the character of the laws which govern natural phenomena, permitting to formulate new laws, correcting certain inadequate formulations and providing unitary and non contradictory formulations for the investigated phenomena.
Codes And Automata
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Author : Jean Berstel
language : en
Publisher: Cambridge University Press
Release Date : 2010
Codes And Automata written by Jean Berstel and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Computers categories.
This major revision of Berstel and Perrin's classic Theory of Codes has been rewritten with a more modern focus and a much broader coverage of the subject. The concept of unambiguous automata, which is intimately linked with that of codes, now plays a significant role throughout the book, reflecting developments of the last 20 years. This is complemented by a discussion of the connection between codes and automata, and new material from the field of symbolic dynamics. The authors have also explored links with more practical applications, including data compression and cryptography. The treatment remains self-contained: there is background material on discrete mathematics, algebra and theoretical computer science. The wealth of exercises and examples make it ideal for self-study or courses. In summary, this is a comprehensive reference on the theory of variable-length codes and their relation to automata.
Classical Dynamics A Modern Perspective
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Author : E C George Sudarshan
language : en
Publisher: World Scientific Publishing Company
Release Date : 2015-10-08
Classical Dynamics A Modern Perspective written by E C George Sudarshan and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-08 with Science categories.
Classical dynamics is traditionally treated as an early stage in the development of physics, a stage that has long been superseded by more ambitious theories. Here, in this book, classical dynamics is treated as a subject on its own as well as a research frontier. Incorporating insights gained over the past several decades, the essential principles of classical dynamics are presented, while demonstrating that a number of key results originally considered only in the context of quantum theory and particle physics, have their foundations in classical dynamics.Graduate students in physics and practicing physicists will welcome the present approach to classical dynamics that encompasses systems of particles, free and interacting fields, and coupled systems. Lie groups and Lie algebras are incorporated at a basic level and are used in describing space-time symmetry groups. There is an extensive discussion on constrained systems, Dirac brackets and their geometrical interpretation. The Lie-algebraic description of dynamical systems is discussed in detail, and Poisson brackets are developed as a realization of Lie brackets. Other topics include treatments of classical spin, elementary relativistic systems in the classical context, irreducible realizations of the Galileo and Poincaré groups, and hydrodynamics as a Galilean field theory. Students will also find that this approach that deals with problems of manifest covariance, the no-interaction theorem in Hamiltonian mechanics and the structure of action-at-a-distance theories provides all the essential preparatory groundwork for a passage to quantum field theory.This reprinting of the original text published in 1974 is a testimony to the vitality of the contents that has remained relevant over nearly half a century.