Rings, Fields and Groups

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Publisher : Butterworth-Heinemann
ISBN 13 : 9780340544402
Total Pages : 383 pages
Book Rating : 4.5/5 (444 download)

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Book Synopsis Rings, Fields and Groups by : R. B. J. T. Allenby

Download or read book Rings, Fields and Groups written by R. B. J. T. Allenby and published by Butterworth-Heinemann. This book was released on 1991 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides an introduction to the results, methods and ideas which are now commonly studied in abstract algebra courses

Rings, Fields and Groups

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Publisher : Hodder Education
ISBN 13 :
Total Pages : 422 pages
Book Rating : 4.:/5 (321 download)

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Book Synopsis Rings, Fields and Groups by : R. B. J. T. Allenby

Download or read book Rings, Fields and Groups written by R. B. J. T. Allenby and published by Hodder Education. This book was released on 1983 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a stimulating and unusiual introduction to the results, methods and ideas which are now commonly studied in abstract algebra courses in universities and polytechnics. The mixture of informal and formal presentation generates the enthusiasm of the reader without neglecting the axiomatic approach necessary for the serious study.

A Guide to Groups, Rings, and Fields

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Publisher : American Mathematical Soc.
ISBN 13 : 1614442118
Total Pages : 309 pages
Book Rating : 4.6/5 (144 download)

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Book Synopsis A Guide to Groups, Rings, and Fields by : Fernando Q. Gouvêa

Download or read book A Guide to Groups, Rings, and Fields written by Fernando Q. Gouvêa and published by American Mathematical Soc.. This book was released on 2012-12-31 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: Insightful overview of many kinds of algebraic structures that are ubiquitous in mathematics. For researchers at graduate level and beyond.

Basic Algebra

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Publisher : Springer Science & Business Media
ISBN 13 : 0857294288
Total Pages : 470 pages
Book Rating : 4.8/5 (572 download)

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Book Synopsis Basic Algebra by : P.M. Cohn

Download or read book Basic Algebra written by P.M. Cohn and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first volume of a revised edition of P.M. Cohn's classic three-volume text Algebra, widely regarded as one of the most outstanding introductory algebra textbooks. This volume covers the important results of algebra. Readers should have some knowledge of linear algebra, groups and fields, although all the essential facts and definitions are recalled.

Rings, Fields, and Groups

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Publisher :
ISBN 13 : 9780340544402
Total Pages : 294 pages
Book Rating : 4.5/5 (444 download)

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Book Synopsis Rings, Fields, and Groups by : R. B. J. T. Allenby

Download or read book Rings, Fields, and Groups written by R. B. J. T. Allenby and published by . This book was released on 1983 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Groups, Rings and Group Rings

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Author :
Publisher : CRC Press
ISBN 13 : 1420010964
Total Pages : 368 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Groups, Rings and Group Rings by : Antonio Giambruno

Download or read book Groups, Rings and Group Rings written by Antonio Giambruno and published by CRC Press. This book was released on 2006-01-20 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of research papers and surveys on algebra that were presented at the Conference on Groups, Rings, and Group Rings held in Ubatuba, Brazil. This text familiarizes researchers with the latest topics, techniques, and methodologies in several branches of contemporary algebra. With extensive coverage, it examines broad themes f

Groups, Rings and Fields

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Publisher : Springer Science & Business Media
ISBN 13 : 1447104250
Total Pages : 256 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Groups, Rings and Fields by : David A.R. Wallace

Download or read book Groups, Rings and Fields written by David A.R. Wallace and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a basic introduction to modern algebra, providing a solid understanding of the axiomatic treatment of groups and then rings, aiming to promote a feeling for the evolutionary and historical development of the subject. It includes problems and fully worked solutions, enabling readers to master the subject rather than simply observing it.

Rings, Fields, and Vector Spaces

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Publisher : Springer Science & Business Media
ISBN 13 : 1475727003
Total Pages : 201 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Rings, Fields, and Vector Spaces by : B.A. Sethuraman

Download or read book Rings, Fields, and Vector Spaces written by B.A. Sethuraman and published by Springer Science & Business Media. This book was released on 2013-04-09 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using the proof of the non-trisectability of an arbitrary angle as a final goal, the author develops in an easy conversational style the basics of rings, fields, and vector spaces. Originally developed as a text for an introduction to algebra course for future high-school teachers at California State University, Northridge, the focus of this book is on exposition. It would serve extremely well as a focused, one-semester introduction to abstract algebra.

Abstract Algebra

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Publisher : World Scientific Publishing Company
ISBN 13 : 9813100710
Total Pages : 508 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Abstract Algebra by : Clive Reis

Download or read book Abstract Algebra written by Clive Reis and published by World Scientific Publishing Company. This book was released on 2011-05-05 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is appropriate for second to fourth year undergraduates. In addition to the material traditionally taught at this level, the book contains several applications: Polya–Burnside Enumeration, Mutually Orthogonal Latin Squares, Error-Correcting Codes and a classification of the finite groups of isometries of the plane and the finite rotation groups in Euclidean 3-space. It is hoped that these applications will help the reader achieve a better grasp of the rather abstract ideas presented and convince him/her that pure mathematics, in addition to having an austere beauty of its own, can be applied to solving practical problems. Considerable emphasis is placed on the algebraic system consisting of congruence classes mod n under the usual operations of addition and multiplication. The reader is thus introduced — via congruence classes — to the idea of cosets and factor groups. This enables the transition to cosets and factor objects in a more abstract setting to be relatively painless. The chapters dealing with applications help to reinforce the concepts and methods developed in the context of more down-to-earth problems. Most introductory texts in abstract algebra either avoid cosets, factor objects and homomorphisms completely or introduce them towards the end of the book. In this book, these topics are dealt with early on so that the reader has at his/her disposal the tools required to give elegant proofs of the fundamental theorems. Moreover, homomorphisms play such a prominent role in algebra that they are used in this text wherever possible, even if there are alternative methods of proof.

Introduction to MATLAB with Applications for Chemical and Mechanical Engineers

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Publisher : CRC Press
ISBN 13 : 1584885157
Total Pages : 693 pages
Book Rating : 4.5/5 (848 download)

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Book Synopsis Introduction to MATLAB with Applications for Chemical and Mechanical Engineers by : Daniel G. Coronell

Download or read book Introduction to MATLAB with Applications for Chemical and Mechanical Engineers written by Daniel G. Coronell and published by CRC Press. This book was released on 2015-10-15 with total page 693 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to MATLAB with Applications for Chemical and Mechanical Engineers provides applications from chemical engineering and biotechnology, such as thermodynamics, heat transfer, fluid mechanics, and mass transfer. The book features a section on input, output, and storage of data as well as a section on data analysis and parameter estimation that contains statistical analysis, curve fitting optimization, and error analysis. Many applied case studies are included from the engineering disciplines. It also offers instruction on the use of the MATLAB® optimization toolbox. With a CD-ROM of MATLAB programs, this text is essential for chemical engineers, mechanical engineers, applied mathematicians, and students.

Abstract Algebra

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Publisher : World Scientific Publishing Company
ISBN 13 : 9814730564
Total Pages : 576 pages
Book Rating : 4.8/5 (147 download)

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Book Synopsis Abstract Algebra by : Clive Reis

Download or read book Abstract Algebra written by Clive Reis and published by World Scientific Publishing Company. This book was released on 2016-08-30 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition covers essentially the same topics as the first. However, the presentation of the material has been extensively revised and improved. In addition, there are two new chapters, one dealing with the fundamental theorem of finitely generated abelian groups and the other a brief introduction to semigroup theory and automata. This book is appropriate for second to fourth year undergraduates. In addition to the material traditionally taught at this level, the book contains several applications: Polya–Burnside Enumeration, Mutually Orthogonal Latin Squares, Error-Correcting Codes, and a classification of the finite groups of isometries of the plane and the finite rotation groups in Euclidean 3-space, semigroups and automata. It is hoped that these applications will help the reader achieve a better grasp of the rather abstract ideas presented and convince him/her that pure mathematics, in addition to having an austere beauty of its own, can be applied to solving practical problems. Considerable emphasis is placed on the algebraic system consisting of the congruence classes mod n under the usual operations of addition and multiplication. The reader is thus introduced — via congruence classes — to the idea of cosets and factor groups. This enables the transition to cosets and factor objects to be relatively painless. In this book, cosets, factor objects and homomorphisms are introduced early on so that the reader has at his/her disposal the tools required to give elegant proofs of the fundamental theorems. Moreover, homomorphisms play such a prominent role in algebra that they are used in this text wherever possible.

Unit Groups of Classical Rings

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Publisher : Oxford University Press, USA
ISBN 13 :
Total Pages : 392 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis Unit Groups of Classical Rings by : Gregory Karpilovsky

Download or read book Unit Groups of Classical Rings written by Gregory Karpilovsky and published by Oxford University Press, USA. This book was released on 1988 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to give a self-contained, up-to-date account of the structure of unit groups of classical rings. In so doing, the work draws together four areas of mathematics: ring theory, group theory, group representation theory, and algebraic number theory. The ensuing interplay between these disciplines provides a unique source of enrichment for each of them. The main theme centers on two related problems: to determine the isomorphism class of the unit group (U)R of ring R in terms of natural invariants associated with R; and to find an effective method for the construction of units of ring R. Various threads of the development are tied together to convey a comprehensive picture of the current state of the subject. Examples are provided to help research workers who need to compute explicitly unit groups of certain rings. A familiarity with basic ring-theoretic and group-theoretic concepts is assumed, but a chapter on algebraic preliminaries is included. The text is distinguished by its very clear exposition.

An Introduction to Group Rings

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Publisher : Springer Science & Business Media
ISBN 13 : 9781402002380
Total Pages : 394 pages
Book Rating : 4.0/5 (23 download)

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Book Synopsis An Introduction to Group Rings by : César Polcino Milies

Download or read book An Introduction to Group Rings written by César Polcino Milies and published by Springer Science & Business Media. This book was released on 2002-01-31 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: to Group Rings by Cesar Polcino Milies Instituto de Matematica e Estatistica, Universidade de sao Paulo, sao Paulo, Brasil and Sudarshan K. Sehgal Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton. Canada SPRINGER-SCIENCE+BUSINESS MEDIA, B.V. A c.I.P. Catalogue record for this book is available from the Library of Congress. ISBN 978-1-4020-0239-7 ISBN 978-94-010-0405-3 (eBook) DOI 10.1007/978-94-010-0405-3 Printed an acid-free paper AII Rights Reserved (c) 2002 Springer Science+Business Media Dordrecht Originally published by Kluwer Academic Publishers in 2002 Softcover reprint ofthe hardcover Ist edition 2002 No part of the material protected by this copyright notice may be reproduced or utilized in any form or by any means, electronic or mechanical, inc1uding photocopying, recording Of by any information storage and retrieval system, without written permis sion from the copyright owner. Contents Preface ix 1 Groups 1 1.1 Basic Concepts . . . . . . . . . . . . 1 1.2 Homomorphisms and Factor Groups 10 1.3 Abelian Groups . 18 1.4 Group Actions, p-groups and Sylow Subgroups 21 1.5 Solvable and Nilpotent Groups 27 1.6 FC Groups .

Introduction To Abstract Algebra, An: Sets, Groups, Rings, And Fields

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Publisher : World Scientific
ISBN 13 : 9811246688
Total Pages : 438 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Introduction To Abstract Algebra, An: Sets, Groups, Rings, And Fields by : Steven Howard Weintraub

Download or read book Introduction To Abstract Algebra, An: Sets, Groups, Rings, And Fields written by Steven Howard Weintraub and published by World Scientific. This book was released on 2022-05-25 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a textbook for a semester-long or year-long introductory course in abstract algebra at the upper undergraduate or beginning graduate level.It treats set theory, group theory, ring and ideal theory, and field theory (including Galois theory), and culminates with a treatment of Dedekind rings, including rings of algebraic integers.In addition to treating standard topics, it contains material not often dealt with in books at this level. It provides a fresh perspective on the subjects it covers, with, in particular, distinctive treatments of factorization theory in integral domains and of Galois theory.As an introduction, it presupposes no prior knowledge of abstract algebra, but provides a well-motivated, clear, and rigorous treatment of the subject, illustrated by many examples. Written with an eye toward number theory, it contains numerous applications to number theory (including proofs of Fermat's theorem on sums of two squares and of the Law of Quadratic Reciprocity) and serves as an excellent basis for further study in algebra in general and number theory in particular.Each of its chapters concludes with a variety of exercises ranging from the straightforward to the challenging in order to reinforce students' knowledge of the subject. Some of these are particular examples that illustrate the theory while others are general results that develop the theory further.

Abstract Algebra

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Publisher :
ISBN 13 : 9789814730556
Total Pages : 574 pages
Book Rating : 4.7/5 (35 download)

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Book Synopsis Abstract Algebra by : Clive Reis

Download or read book Abstract Algebra written by Clive Reis and published by . This book was released on 2016 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Algebra

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Publisher : CRC Press
ISBN 13 : 1439863520
Total Pages : 264 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Algebra by : Louis Rowen

Download or read book Algebra written by Louis Rowen and published by CRC Press. This book was released on 2018-10-08 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text presents the concepts of higher algebra in a comprehensive and modern way for self-study and as a basis for a high-level undergraduate course. The author is one of the preeminent researchers in this field and brings the reader up to the recent frontiers of research including never-before-published material. From the table of contents: - Groups: Monoids and Groups - Cauchyís Theorem - Normal Subgroups - Classifying Groups - Finite Abelian Groups - Generators and Relations - When Is a Group a Group? (Cayley's Theorem) - Sylow Subgroups - Solvable Groups - Rings and Polynomials: An Introduction to Rings - The Structure Theory of Rings - The Field of Fractions - Polynomials and Euclidean Domains - Principal Ideal Domains - Famous Results from Number Theory - I Fields: Field Extensions - Finite Fields - The Galois Correspondence - Applications of the Galois Correspondence - Solving Equations by Radicals - Transcendental Numbers: e and p - Skew Field Theory - Each chapter includes a set of exercises

Introduction to Abstract Algebra

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Publisher : JHU Press
ISBN 13 : 1421411776
Total Pages : 583 pages
Book Rating : 4.4/5 (214 download)

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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