Modern abstract algebra david burton
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Modern abstract algebra david burton
This book is in theADOBON-WESIEY SERIES IN MATHEMATICSCơntủUing Editor: Lynn H. LoomibDAVID M. BURTON, Univariity of Now HampihireINTRODUCTION TO MODE Modern abstract algebra david burton ERN ABSTRACT ALGEBRAADOtSON-WESLEV PUBLISHING COMPANYReading.Manio Park, California ■ London • Amsterdam • Don MUs, Ontario • SydnayCOPYRIGHT (?) 1967 BY ADDISON-WESLEY PUBLISHING COMPANY, INC. ALL RIGHTS RESERVED. THIS HOOK, OR PARTS THEREOF, MAY NOT BE REPRODUCED IN ANY FORM WITHOUT WRITTEN PERMIS Modern abstract algebra david burton SION OF THE PUBLISHER. PRINTED IN THE UNITED STATES OF AMERICA. PUBLISHED SIMULTANEOUSLY IN CANADA. LIBRARY OF CONGRESS CATALOG CARD NO. 67-19426.I saModern abstract algebra david burton
w O JO10)722 3IJKLMNOeOMA 798)8PREFACEThis book has l>een written with the intention of providing an introduction to modern abstract algebra for matheThis book is in theADOBON-WESIEY SERIES IN MATHEMATICSCơntủUing Editor: Lynn H. LoomibDAVID M. BURTON, Univariity of Now HampihireINTRODUCTION TO MODE Modern abstract algebra david burton is somewhat elementary, with the exposition in the earlier sections proceeding at a leisurely pace; much of this early material may be covered rapidly on a first reading. An attempt has been made to keep the book as self-contained as possible. To smooth the path for the unexperienced reader, the fi Modern abstract algebra david burton rst chapter is devoted to a review of the basic facts concerning sets, functions and number theory; it also serves as a suitable vehicle for introduciModern abstract algebra david burton
ng some of the notation and terminology used subsequently.A cursory examination of the table of contents will reveal few surprises; the topics chosen This book is in theADOBON-WESIEY SERIES IN MATHEMATICSCơntủUing Editor: Lynn H. LoomibDAVID M. BURTON, Univariity of Now HampihireINTRODUCTION TO MODE Modern abstract algebra david burton nd in keeping with the spirit of the times. Thus, set notation is employed throughout, and the distinction is maintained between algebraic systems as ordered pairs or triples and their underlying sets of elements. Guided by the principle that, a steady diet of definitions and examples soon becomes u Modern abstract algebra david burton npalatable, our efforts are directed towards establishing the most important and fruitful results of the subject in a formal, rigorous fashion. The chModern abstract algebra david burton
apter on groups, for example, culminates in a proof of the classic Sylow Theorems, while ring and ideal theory are developed to the point of obtainingThis book is in theADOBON-WESIEY SERIES IN MATHEMATICSCơntủUing Editor: Lynn H. LoomibDAVID M. BURTON, Univariity of Now HampihireINTRODUCTION TO MODE Modern abstract algebra david burton and the current standards of rigor.At the end of each section, there will be found a collection of problems of varying degrees of difficulty; these constitute an integral part of the book. They introduce a variety of topics not treated in the main text, as well as impart much additional detail about Modern abstract algebra david burton material covered earlier. Some, especially in the latter sections, provide substantial extensions of the theory. We have, on the whole, resisted theModern abstract algebra david burton
temptation to use the exercises to develop results that will be needed subsequently; as a result, the reader need not work all the problems in order tThis book is in theADOBON-WESIEY SERIES IN MATHEMATICSCơntủUing Editor: Lynn H. LoomibDAVID M. BURTON, Univariity of Now HampihireINTRODUCTION TO MODE Modern abstract algebra david burton a glossary of special symbols is also included.Vvi PREFACEThe text 18 not intended to be encyclopedic in nature; many important topics vie for inclusion and some choice is obviously imperative. To this end, we merely followed our own taste, condensing or omitting altogether certain of the concepts f Modern abstract algebra david burton ound in the usual first course in modem algebra. Despite these omissions, we believe the coverage will meet the needs of most students; those who areModern abstract algebra david burton
stimulated to pursue the matter further will have a firm foundation upon which to build.It is a pleasure to record our indebtedness to Lynn Loomis andThis book is in theADOBON-WESIEY SERIES IN MATHEMATICSCơntủUing Editor: Lynn H. LoomibDAVID M. BURTON, Univariity of Now HampihireINTRODUCTION TO MODE Modern abstract algebra david burton the University of New Hampshire, the advice of Edward Batho and Robb Jacoby proved particularly helpful; in this regard, special thanks are due to William Witthoft who contributed a number of incisive suggestions after reading portions of the galley proofs. We also take this occasion to express our Modern abstract algebra david burton sincere appreciation to Mary Ann Macllvaine for her excellent typing of the manuscript. To my wife must go the largest debt of gratitude, not only forModern abstract algebra david burton
her generous assistance with the text at the various stages of its development, but for her constant encouragement and understanding.Finally, we woulThis book is in theADOBON-WESIEY SERIES IN MATHEMATICSCơntủUing Editor: Lynn H. LoomibDAVID M. BURTON, Univariity of Now HampihireINTRODUCTION TO MODE Modern abstract algebra david burton NTENTSChapter 1Preliminary Nations1-1 The Algebra of Sets.................................................... 11-2 Functions and Elementary Number Theory..........................13Chapter 2Group Theory2-1 Definition and Examples of Groups..............................272-2 Certain Elementary Theore Modern abstract algebra david burton ms on Groups............................412-3 Two Im|>ortant Groups............................................5244961Subgroups.......................Modern abstract algebra david burton
.............................642-5 Normal Subgroups and Quotient Groups.............................7544963Homomorphisms..............................This book is in theADOBON-WESIEY SERIES IN MATHEMATICSCơntủUing Editor: Lynn H. LoomibDAVID M. BURTON, Univariity of Now HampihireINTRODUCTION TO MODEThis book is in theADOBON-WESIEY SERIES IN MATHEMATICSCơntủUing Editor: Lynn H. LoomibDAVID M. BURTON, Univariity of Now HampihireINTRODUCTION TO MODEGọi ngay
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