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Factoring Groups Into Subsets
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Book Synopsis Factoring Groups into Subsets by : Sandor Szabo
Download or read book Factoring Groups into Subsets written by Sandor Szabo and published by CRC Press. This book was released on 2009-01-21 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Topics in Factorization of Abelian Groups by : Sandor Szabo
Download or read book Topics in Factorization of Abelian Groups written by Sandor Szabo and published by Springer Science & Business Media. This book was released on 2004-10-25 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main objective of this book is to give a systematic exposition of the main results and techniques of the factorization theory of abelian groups. The necessary background materials are presented along with some of the most important applications in geometry, combinatorics, coding theory, and number theory. A large part of the text is accessible to students, requiring only basic knowledge in group theory and algebra. Helpful exercises are provided in every chapter.
Book Synopsis Encyclopedic Dictionary of Mathematics by : Nihon Sūgakkai
Download or read book Encyclopedic Dictionary of Mathematics written by Nihon Sūgakkai and published by MIT Press. This book was released on 1993 with total page 1180 pages. Available in PDF, EPUB and Kindle. Book excerpt: V.1. A.N. v.2. O.Z. Apendices and indexes.
Book Synopsis Arithmetic of Finite Fields by : M. Anwar Hasan
Download or read book Arithmetic of Finite Fields written by M. Anwar Hasan and published by Springer. This book was released on 2010-06-26 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Codes and Automata by : Jean Berstel
Download or read book Codes and Automata written by Jean Berstel and published by Cambridge University Press. This book was released on 2010 with total page 634 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Localization and Perturbation of Zeros of Entire Functions by : Michael Gil'
Download or read book Localization and Perturbation of Zeros of Entire Functions written by Michael Gil' and published by CRC Press. This book was released on 2009-12-04 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Topics in Group Theory by : Geoff Smith
Download or read book Topics in Group Theory written by Geoff Smith and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Combinatorics and Finite Fields by : Kai-Uwe Schmidt
Download or read book Combinatorics and Finite Fields written by Kai-Uwe Schmidt and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-07-08 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combinatorics and finite fields are of great importance in modern applications such as in the analysis of algorithms, in information and communication theory, and in signal processing and coding theory. This book contains survey articles on topics such as difference sets, polynomials, and pseudorandomness.
Book Synopsis A Compendium Of Musical Mathematics by : Franck Jedrzejewski
Download or read book A Compendium Of Musical Mathematics written by Franck Jedrzejewski and published by World Scientific. This book was released on 2024-02-28 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Laser Raman Spectroscopy by : Trevor Robert Gilson
Download or read book Laser Raman Spectroscopy written by Trevor Robert Gilson and published by John Wiley & Sons. This book was released on 1970 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Essays in Constructive Mathematics by : Harold M. Edwards
Download or read book Essays in Constructive Mathematics written by Harold M. Edwards and published by Springer Nature. This book was released on 2022-09-29 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents and treatment are fresh and very different from the standard treatments Presents a fully constructive version of what it means to do algebra The exposition is not only clear, it is friendly, philosophical, and considerate even to the most naive or inexperienced reader
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1982 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
Download or read book Mathematica Japonicae written by and published by . This book was released on 1994 with total page 654 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Selected Areas in Cryptography by : Kaisa Nyberg
Download or read book Selected Areas in Cryptography written by Kaisa Nyberg and published by Springer Science & Business Media. This book was released on 2003-02-25 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-proceedings of the 9th Annual International Workshop on Selected Areas in Cryptology, SAC 2002, held in St. John's, Newfoundland, Canada, in August 2002. The 25 revised full papers presented were carefully selected from 90 submissions during two rounds of reviewing and improvement. The papers are organized in topical sections on elliptic curve enhancements, SNOW, encryption schemes, differential attacks, Boolean functions and stream ciphers, block cipher security, signatures and secret sharing, MAC and hash constructions, and RSA and XTR enhancements.
Book Synopsis International Tables for Crystallography, Volume B by : Uri Shmueli
Download or read book International Tables for Crystallography, Volume B written by Uri Shmueli and published by Springer Science & Business Media. This book was released on 2008-08-27 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt: International Tables for Crystallography are no longer available for purchase from Springer. For further information please contact Wiley Inc. (follow the link on the right hand side of this page). Volume B presents accounts of the numerous aspects of reciprocal space in crystallographic research. After an introductory chapter, Part 1 presents the reader with an account of structure-factor formalisms, an extensive treatment of the theory, algorithms and crystallographic applications of Fourier methods, and fundamental as well as advanced treatments of symmetry in reciprocal space. In Part 2, these general accounts are followed by detailed expositions of crystallographic statistics, the theory of direct methods, Patterson techniques, isomorphous replacement and anomalous scattering, and treatments of the role of electron microscopy and diffraction in crystal structure determination, including applications of direct methods to electron crystallography. Part 3 deals with applications of reciprocal space to molecular geometry and `best'-plane calculations, and contains a treatment of the principles of molecular graphics and modelling and their applications. A convergence-acceleration method of importance in the computation of approximate lattice sums is presented and the part concludes with a discussion of the Ewald method. Part 4 contains treatments of various diffuse-scattering phenomena arising from crystal dynamics, disorder and low dimensionality (liquid crystals), and an exposition of the underlying theories and/or experimental evidence. Polymer crystallography and reciprocal-space images of aperiodic crystals are also treated. Part 5 of the volume contains introductory treatments of the theory of the interaction of radiation with matter (dynamical theory) as applied to X-ray, electron and neutron diffraction techniques. The simplified trigonometric expressions for the structure factors in the 230 three-dimensional space groups, which appeared in Volume I of International Tables for X-ray Crystallography, are now given in Appendix 1.4.3 to Chapter 1.4 of this volume. Volume B is a vital addition to the library of scientists engaged in crystal structure determination, crystallographic computing, crystal physics and other fields of crystallographic research. Graduate students specializing in crystallography will find much material suitable for self-study and a rich source of references to the relevant literature.
Book Synopsis Introduction to Coding Theory by : Jurgen Bierbrauer
Download or read book Introduction to Coding Theory written by Jurgen Bierbrauer and published by CRC Press. This book was released on 2018-10-03 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although its roots lie in information theory, the applications of coding theory now extend to statistics, cryptography, and many areas of pure mathematics, as well as pervading large parts of theoretical computer science, from universal hashing to numerical integration. Introduction to Coding Theory introduces the theory of error-correcting codes in a thorough but gentle presentation. Part I begins with basic concepts, then builds from binary linear codes and Reed-Solomon codes to universal hashing, asymptotic results, and 3-dimensional codes. Part II emphasizes cyclic codes, applications, and the geometric desciption of codes. The author takes a unique, more natural approach to cyclic codes that is not couched in ring theory but by virtue of its simplicity, leads to far-reaching generalizations. Throughout the book, his discussions are packed with applications that include, but reach well beyond, data transmission, with each one introduced as soon as the codes are developed. Although designed as an undergraduate text with myriad exercises, lists of key topics, and chapter summaries, Introduction to Coding Theory explores enough advanced topics to hold equal value as a graduate text and professional reference. Mastering the contents of this book brings a complete understanding of the theory of cyclic codes, including their various applications and the Euclidean algorithm decoding of BCH-codes, and carries readers to the level of the most recent research.
Book Synopsis Automata, Languages and Programming by : Susanne Albers
Download or read book Automata, Languages and Programming written by Susanne Albers and published by Springer Science & Business Media. This book was released on 2009-07-06 with total page 808 pages. Available in PDF, EPUB and Kindle. Book excerpt:
