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Numbers Groups And Codes
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Book Synopsis Numbers, Groups and Codes by : J. F. Humphreys
Download or read book Numbers, Groups and Codes written by J. F. Humphreys and published by Cambridge University Press. This book was released on 2004-05-13 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is an introduction to algebra via examples. The book moves from properties of integers, through other examples, to the beginnings of group theory. Applications to public key codes and to error correcting codes are emphasised. These applications, together with sections on logic and finite state machines, make the text suitable for students of computer science as well as mathematics students. Attention is paid to historical development of the mathematical ideas. This second edition contains new material on mathematical reasoning skills and a new chapter on polynomials has been added. The book was developed from first-level courses taught in the UK and USA. These courses proved successful in developing not only a theoretical understanding but also algorithmic skills. This book can be used at a wide range of levels: it is suitable for first- or second-level university students, and could be used as enrichment material for upper-level school students.
Book Synopsis Numbers, Groups and Codes by : J. F. Humphreys
Download or read book Numbers, Groups and Codes written by J. F. Humphreys and published by Cambridge University Press. This book was released on 2004-05-13 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thoroughly revised and updated version of the popular textbook on abstract algebra introduces students to easily understood problems and concepts. John Humphreys and Mike Prest include many examples and exercises throughout the book to make it more appealing to students and instructors. The second edition features new sections on mathematical reasoning and polynomials. In addition, three chapters have been completely rewritten and all others have been updated. First Edition Pb (1990): 0-521-35938-4
Book Synopsis Numbers, Groups and Codes by : J. F. Humphreys
Download or read book Numbers, Groups and Codes written by J. F. Humphreys and published by . This book was released on 2004-05-13 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Revised and updated version of popular textbook. New sections and numerous problems.
Book Synopsis Numbers, Groups, and Codes by : John F. Humphreys
Download or read book Numbers, Groups, and Codes written by John F. Humphreys and published by . This book was released on 1991 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Reflection Groups and Coxeter Groups by : James E. Humphreys
Download or read book Reflection Groups and Coxeter Groups written by James E. Humphreys and published by Cambridge University Press. This book was released on 1992-10 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate textbook presents a concrete and up-to-date introduction to the theory of Coxeter groups. The book is self-contained, making it suitable either for courses and seminars or for self-study. The first part is devoted to establishing concrete examples. Finite reflection groups acting on Euclidean spaces are discussed, and the first part ends with the construction of the affine Weyl groups, a class of Coxeter groups that plays a major role in Lie theory. The second part (which is logically independent of, but motivated by, the first) develops from scratch the properties of Coxeter groups in general, including the Bruhat ordering and the seminal work of Kazhdan and Lusztig on representations of Hecke algebras associated with Coxeter groups is introduced. Finally a number of interesting complementary topics as well as connections with Lie theory are sketched. The book concludes with an extensive bibliography on Coxeter groups and their applications.
Download or read book Groups written by R. P. Burn and published by Cambridge University Press. This book was released on 1987-09-03 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: Following the same successful approach as Dr. Burn's previous book on number theory, this text consists of a carefully constructed sequence of questions that will enable the reader, through participation, to study all the group theory covered by a conventional first university course. An introduction to vector spaces, leading to the study of linear groups, and an introduction to complex numbers, leading to the study of Möbius transformations and stereographic projection, are also included. Quaternions and their relationships to 3-dimensional isometries are covered, and the climax of the book is a study of the crystallographic groups, with a complete analysis of these groups in two dimensions.
Download or read book Number Fields written by Daniel A. Marcus and published by Springer. This book was released on 2018-07-05 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: Requiring no more than a basic knowledge of abstract algebra, this text presents the mathematics of number fields in a straightforward, pedestrian manner. It therefore avoids local methods and presents proofs in a way that highlights the important parts of the arguments. Readers are assumed to be able to fill in the details, which in many places are left as exercises.
Book Synopsis Codes and Curves by : Judy L. Walker
Download or read book Codes and Curves written by Judy L. Walker and published by American Mathematical Soc.. This book was released on 2000 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic geometry is introduced, with particular attention given to projective curves, rational functions and divisors. The construction of algebraic geometric codes is given, and the Tsfasman-Vladut-Zink result mentioned above it discussed."--BOOK JACKET.
Book Synopsis A Book of Abstract Algebra by : Charles C Pinter
Download or read book A Book of Abstract Algebra written by Charles C Pinter and published by Courier Corporation. This book was released on 2010-01-14 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. This second edition features additional exercises to improve student familiarity with applications. 1990 edition.
Book Synopsis Introduction to Abstract Algebra by : Benjamin Fine
Download or read book Introduction to Abstract Algebra written by Benjamin Fine and published by JHU Press. This book was released on 2014-07-01 with total page 583 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new approach to abstract algebra that eases student anxieties by building on fundamentals. Introduction to Abstract Algebra presents a breakthrough approach to teaching one of math's most intimidating concepts. Avoiding the pitfalls common in the standard textbooks, Benjamin Fine, Anthony M. Gaglione, and Gerhard Rosenberger set a pace that allows beginner-level students to follow the progression from familiar topics such as rings, numbers, and groups to more difficult concepts. Classroom tested and revised until students achieved consistent, positive results, this textbook is designed to keep students focused as they learn complex topics. Fine, Gaglione, and Rosenberger's clear explanations prevent students from getting lost as they move deeper and deeper into areas such as abelian groups, fields, and Galois theory. This textbook will help bring about the day when abstract algebra no longer creates intense anxiety but instead challenges students to fully grasp the meaning and power of the approach. Topics covered include: • Rings • Integral domains • The fundamental theorem of arithmetic • Fields • Groups • Lagrange's theorem • Isomorphism theorems for groups • Fundamental theorem of finite abelian groups • The simplicity of An for n5 • Sylow theorems • The Jordan-Hölder theorem • Ring isomorphism theorems • Euclidean domains • Principal ideal domains • The fundamental theorem of algebra • Vector spaces • Algebras • Field extensions: algebraic and transcendental • The fundamental theorem of Galois theory • The insolvability of the quintic
Book Synopsis Algebraic Function Fields and Codes by : Henning Stichtenoth
Download or read book Algebraic Function Fields and Codes written by Henning Stichtenoth and published by Springer Science & Business Media. This book was released on 2009-02-11 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book links two subjects: algebraic geometry and coding theory. It uses a novel approach based on the theory of algebraic function fields. Coverage includes the Riemann-Rock theorem, zeta functions and Hasse-Weil's theorem as well as Goppa' s algebraic-geometric codes and other traditional codes. It will be useful to researchers in algebraic geometry and coding theory and computer scientists and engineers in information transmission.
Book Synopsis From Error-correcting Codes Through Sphere Packings to Simple Groups by : Thomas M. Thompson
Download or read book From Error-correcting Codes Through Sphere Packings to Simple Groups written by Thomas M. Thompson and published by . This book was released on 1983 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Course on Group Theory by : John S. Rose
Download or read book A Course on Group Theory written by John S. Rose and published by Courier Corporation. This book was released on 2013-05-27 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Text for advanced courses in group theory focuses on finite groups, with emphasis on group actions. Explores normal and arithmetical structures of groups as well as applications. 679 exercises. 1978 edition.
Author :Heinz-Dieter Ebbinghaus Publisher :Springer Science & Business Media ISBN 13 :9780387974972 Total Pages :424 pages Book Rating :4.9/5 (749 download)
Book Synopsis Numbers by : Heinz-Dieter Ebbinghaus
Download or read book Numbers written by Heinz-Dieter Ebbinghaus and published by Springer Science & Business Media. This book was released on 1991 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about all kinds of numbers, from rationals to octonians, reals to infinitesimals. It is a story about a major thread of mathematics over thousands of years, and it answers everything from why Hamilton was obsessed with quaternions to what the prospect was for quaternionic analysis in the 19th century. It glimpses the mystery surrounding imaginary numbers in the 17th century and views some major developments of the 20th century.
Download or read book Numbers written by John Rechy and published by Open Road + Grove/Atlantic. This book was released on 2007-12-01 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: An aging male hustler wages an obsessive battle against the passing of his youth in this darkly compelling follow-up to the cult hit City of Night. Johnny Rio, a handsome narcissist no longer a pretty boy, travels to Los Angeles, the site of past sexual conquest and remembered youthful radiance, in a frenzied attempt to recreate his younger self. Like a retired boxer—an undefeated champion—who refuses to accept the possible ravages of time, Johnny is led by some unfathomable force to return to combat once again. Combat, for him, takes place in the dark balconies and dismal bathrooms of LA’s all-night movie theaters and on the hot sands of the city’s gay beaches. But these are only warm up bouts. The real test, Johnny soon learns, will be in the shaded glens of a rambling park on the outskirts of the city. Through those alcoves, as a gallery of sexhunters emerges, he sets out to discover whether the passage of time—as terrifying to the male hustler as to the dancer or ingenue—has diminished the allure that was the source of his pride. For Johnny, the final proof resides in numbers. So he sets himself a rigorous time-table—ten days—and goal: thirty “numbers” to prove is mettle. But through all the sexual episodes, the self-indulgence which comprises Johnny’s tawdry world, there resounds the universal cry of a human being’s desperate need to be loved.
Book Synopsis United States Code by : United States
Download or read book United States Code written by United States and published by . This book was released on 2013 with total page 1506 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The United States Code is the official codification of the general and permanent laws of the United States of America. The Code was first published in 1926, and a new edition of the code has been published every six years since 1934. The 2012 edition of the Code incorporates laws enacted through the One Hundred Twelfth Congress, Second Session, the last of which was signed by the President on January 15, 2013. It does not include laws of the One Hundred Thirteenth Congress, First Session, enacted between January 2, 2013, the date it convened, and January 15, 2013. By statutory authority this edition may be cited "U.S.C. 2012 ed." As adopted in 1926, the Code established prima facie the general and permanent laws of the United States. The underlying statutes reprinted in the Code remained in effect and controlled over the Code in case of any discrepancy. In 1947, Congress began enacting individual titles of the Code into positive law. When a title is enacted into positive law, the underlying statutes are repealed and the title then becomes legal evidence of the law. Currently, 26 of the 51 titles in the Code have been so enacted. These are identified in the table of titles near the beginning of each volume. The Law Revision Counsel of the House of Representatives continues to prepare legislation pursuant to 2 U.S.C. 285b to enact the remainder of the Code, on a title-by-title basis, into positive law. The 2012 edition of the Code was prepared and published under the supervision of Ralph V. Seep, Law Revision Counsel. Grateful acknowledgment is made of the contributions by all who helped in this work, particularly the staffs of the Office of the Law Revision Counsel and the Government Printing Office"--Preface.
Book Synopsis An Illustrated Theory of Numbers by : Martin H. Weissman
Download or read book An Illustrated Theory of Numbers written by Martin H. Weissman and published by American Mathematical Soc.. This book was released on 2020-09-15 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: News about this title: — Author Marty Weissman has been awarded a Guggenheim Fellowship for 2020. (Learn more here.) — Selected as a 2018 CHOICE Outstanding Academic Title — 2018 PROSE Awards Honorable Mention An Illustrated Theory of Numbers gives a comprehensive introduction to number theory, with complete proofs, worked examples, and exercises. Its exposition reflects the most recent scholarship in mathematics and its history. Almost 500 sharp illustrations accompany elegant proofs, from prime decomposition through quadratic reciprocity. Geometric and dynamical arguments provide new insights, and allow for a rigorous approach with less algebraic manipulation. The final chapters contain an extended treatment of binary quadratic forms, using Conway's topograph to solve quadratic Diophantine equations (e.g., Pell's equation) and to study reduction and the finiteness of class numbers. Data visualizations introduce the reader to open questions and cutting-edge results in analytic number theory such as the Riemann hypothesis, boundedness of prime gaps, and the class number 1 problem. Accompanying each chapter, historical notes curate primary sources and secondary scholarship to trace the development of number theory within and outside the Western tradition. Requiring only high school algebra and geometry, this text is recommended for a first course in elementary number theory. It is also suitable for mathematicians seeking a fresh perspective on an ancient subject.
