[PDF] Factoring Groups Into Subsets eBook

Author : Sandor Szabo
Publisher : CRC Press
Page : 282 pages
File Size : 42,76 MB
Release : 2009-01-21
Category : Mathematics
ISBN : 142009047X

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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

Author : Nihon Sūgakkai
Publisher : MIT Press
Page : 1180 pages
File Size : 42,65 MB
Release : 1993
Category : Mathematics
ISBN : 9780262590204

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V.1. A.N. v.2. O.Z. Apendices and indexes.

Author : M. Anwar Hasan
Publisher : Springer
Page : 279 pages
File Size : 43,67 MB
Release : 2010-06-26
Category : Computers
ISBN : 3642137970

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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.

Author : Jean Berstel
Publisher : Cambridge University Press
Page : 634 pages
File Size : 49,33 MB
Release : 2010
Category : Computers
ISBN : 052188831X

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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.

Author : Michael Gil'
Publisher : CRC Press
Page : 318 pages
File Size : 38,12 MB
Release : 2009-12-04
Category : Mathematics
ISBN : 1439800332

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One of the most important problems in the theory of entire functions is the distribution of the zeros of entire functions. Localization and Perturbation of Zeros of Entire Functions is the first book to provide a systematic exposition of the bounds for the zeros of entire functions and variations of zeros under perturbations. It also offers a new a

Author : Geoff Smith
Publisher : Springer Science & Business Media
Page : 266 pages
File Size : 50,87 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 1447104617

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The theory of groups is simultaneously a branch of abstract algebra and the study of symmetry. Designed for readers approaching the subject for the first time, this book reviews all the essentials. It recaps the basic definitions and results, including Lagranges Theorem, the isomorphism theorems and group actions. Later chapters include material on chain conditions and finiteness conditions, free groups and the theory of presentations. In addition, a novel chapter of "entertainments" demonstrates an assortment of results that can be achieved with the theoretical machinery.

Author : Kai-Uwe Schmidt
Publisher : Walter de Gruyter GmbH & Co KG
Page : 506 pages
File Size : 32,40 MB
Release : 2019-07-08
Category : Mathematics
ISBN : 3110641968

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The series is devoted to the publication of high-level monographs, surveys and proceedings which cover the whole spectrum of computational and applied mathematics. The books of this series are addressed to both specialists and advanced students. Interested authors may submit book proposals to the Managing Editor or to any member of the Editorial Board. Managing EditorUlrich Langer, Johannes Kepler University Linz, Austria Editorial BoardHansj rg Albrecher, University of Lausanne, SwitzerlandRonald H. W. Hoppe, University of Houston, USAKarl Kunisch, RICAM, Linz, Austria; University of Graz, AustriaHarald Niederreiter, RICAM, Linz, AustriaChristian Schmeiser, University of Vienna, Austria

Author : Franck Jedrzejewski
Publisher : World Scientific
Page : 286 pages
File Size : 40,31 MB
Release : 2024-02-28
Category : Mathematics
ISBN : 9811284385

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The purpose of this book is to provide a concise introduction to the mathematical theory of music, opening each chapter to the most recent research. Despite the complexity of some sections, the book can be read by a large audience. Many examples illustrate the concepts introduced. The book is divided into 9 chapters.In the first chapter, we tackle the question of the classification of chords and scales. Chapter 2 is a mathematical presentation of David Lewin's Generalized Interval Systems. Chapter 3 offers a new theory of diatonicity in equal-tempered universes. Chapter 4 presents the Neo-Riemannian theories based on the work of David Lewin, Richard Cohn and Henry Klumpenhouwer. Chapter 5 is devoted to the application of word combinatorics to music. Chapter 6 studies the rhythmic canons and the tessellation of the line. Chapter 7 is devoted to serial knots. Chapter 8 presents combinatorial designs and their applications to music. The last chapter, chapter 9, is dedicated to the study of tuning systems.