nezamali mohammadi | Urmia University (original) (raw)

Papers by nezamali mohammadi

were still in development, and who have provided spectacularly helpful suggestions for improvemen... more were still in development, and who have provided spectacularly helpful suggestions for improvement; and Gary Sandine, who after having found an early version of these notes on the Web has read them with incredible thoroughness and has made more suggestions than anyone else for improving them, and has even contributed several first-rate illustrations, with a promise of more to come.

Book Reviews by nezamali mohammadi

in writing of the publishers, or in the case of reprographic reproduction in accordance with the ... more in writing of the publishers, or in the case of reprographic reproduction in accordance with the terms of licenses issued by the Copyright Licensing Agency. Enquiries concerning reproduction outside those terms should be sent to the publishers. The use of registered names, trademarks, et cetera, in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant laws and regulations and therefore free for general use. The publisher makes no representation, express or implied, with regard to the accuracy of the information contained in this book and cannot accept any legal responsibility or liability for any errors or omissions that may be made. Cover design: WMXDesign GmbH Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com) v vi Preface

Add f l GIFT H B MATH-STAT. PREFACE. THE theory of groups of finite order may be said to date fro... more Add f l GIFT H B MATH-STAT. PREFACE. THE theory of groups of finite order may be said to date from the time of Cauchy. To him are due the first attempts at classification with a. view to forming a theory from a number of isolated facts. Galois introduced into the theory the exceedingly important idea of a self-conjugate sub-group, and the corresponding division of groups into simple and com posite. Moreover, by shewing that to every equation of finite degree there corresponds a group of finite order on which all the properties of the equation depend, Galois indicated how far reaching the applications of the theory might be, and thereby contributed greatly, if indirectly, to its subsequent developement. Many additions were made, mainly by French mathe maticians, during the middle part of the century. The first connected exposition of the theory was given in the third edition of M. Serret s " Cours d Algebre Superieure" which was published in 1866. This was followed in 1870 by M. Jordan s "Traite des substitutions et des equations algebriques." The greater part of M. Jordan s treatise is devoted to a develope ment of the ideas of Galois and to their application to the theory of equations.

were still in development, and who have provided spectacularly helpful suggestions for improvemen... more were still in development, and who have provided spectacularly helpful suggestions for improvement; and Gary Sandine, who after having found an early version of these notes on the Web has read them with incredible thoroughness and has made more suggestions than anyone else for improving them, and has even contributed several first-rate illustrations, with a promise of more to come.

in writing of the publishers, or in the case of reprographic reproduction in accordance with the ... more in writing of the publishers, or in the case of reprographic reproduction in accordance with the terms of licenses issued by the Copyright Licensing Agency. Enquiries concerning reproduction outside those terms should be sent to the publishers. The use of registered names, trademarks, et cetera, in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant laws and regulations and therefore free for general use. The publisher makes no representation, express or implied, with regard to the accuracy of the information contained in this book and cannot accept any legal responsibility or liability for any errors or omissions that may be made. Cover design: WMXDesign GmbH Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com) v vi Preface

Add f l GIFT H B MATH-STAT. PREFACE. THE theory of groups of finite order may be said to date fro... more Add f l GIFT H B MATH-STAT. PREFACE. THE theory of groups of finite order may be said to date from the time of Cauchy. To him are due the first attempts at classification with a. view to forming a theory from a number of isolated facts. Galois introduced into the theory the exceedingly important idea of a self-conjugate sub-group, and the corresponding division of groups into simple and com posite. Moreover, by shewing that to every equation of finite degree there corresponds a group of finite order on which all the properties of the equation depend, Galois indicated how far reaching the applications of the theory might be, and thereby contributed greatly, if indirectly, to its subsequent developement. Many additions were made, mainly by French mathe maticians, during the middle part of the century. The first connected exposition of the theory was given in the third edition of M. Serret s " Cours d Algebre Superieure" which was published in 1866. This was followed in 1870 by M. Jordan s "Traite des substitutions et des equations algebriques." The greater part of M. Jordan s treatise is devoted to a develope ment of the ideas of Galois and to their application to the theory of equations.