Introduction to Group Theory

Bol

The present book is the outcome of a one-semester lecture course which the author has given frequently during the last three decades. I have sought, how­ ever, to attract the reader's interest by including a number of dis­ cussions and examples which either have interested me on occasion or resulted from questions of students; The present book is the outcome of a one-semester lecture course which the author has given frequently during the last three decades. The course has been gradually modified over the years in accordance with changing outlook and with the steadily increasing sophistication of the audience, third- and fourth-year honours classes in several universities in Australia and in Canada. Out of the conviction that no branch of Mathematics can be mastered by memorizing facts and methods I have tried from the beginning to make the subject interesting for the reader. Clearly one cannot hope to please everybody in this respect. I have sought, how­ ever, to attract the reader's interest by including a number of dis­ cussions and examples which either have interested me on occasion or resulted from questions of students; some sections and examples have been taken from work done by now eminent mathematicians in an early period of their career, assuming that such selections will appeal to younger readers. So J hope that this book will be found to be a reasonably modern, although not conventional, text proposing an amount of material most of which can be dealt with in a half-year's lecture course. After studying the book the reader should be able to tackle those problems in group theory which are scattered in the problem sections of the American Mathematical Monthly and other similar periodicals.

Bol Partner

Group Theory forms an essential part of all mathematics degree courses and this book provides a straightforward and accessible introduction to the subject assuming that the student has no previous knowledge of group theory. Worked examples and new exercises with solutions are incorporated throughout the text to develop a sound understanding of the general principles underlying the theory and the text has been completely revised in this new edition. Now also includes topical material such as group action and increased emphasis on free groups.

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Pagina's: 257, Editie: 2024, Hardcover, Springer