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  • 1
    Online Resource
    Online Resource
    London :Springer London :
    UID:
    almahu_9947362745002882
    Format: XVI, 256p. 16 illus. , online resource.
    ISBN: 9781447104612
    Series Statement: Springer Undergraduate Mathematics Series,
    Content: We very much hope that this book will be read by the interested student (and not just be parked on a shelf for occasional consultation). If you want a comprehensive reference book on Group Theory, do not buy this text. There are much better books available, some of which are mentioned below. We have a tale to tell; the absolute essentials of the theory of groups, followed by some entertainments and some more advanced material. The theory of groups is an enormous body of material which interacts with other branches of mathematics at countless frontiers. Some parts of the theory are essentially complete, but in other areas all we see are questions. People happily read novels, so why not mathematics books? When math­ ematics was studied by only a few people, there was less need to try to write attractively or encouragingly since the likely readership consisted of a small group of highly motivated individuals who needed little encouragement. Even so, many talented academic writers managed to write brilliantly because they knew no other way. As higher education has opened up in economically devel­ oped countries, a much more diverse collection of people is exploring advanced mathematics and science. The challenge for authors is to produce books which engage this wider community without compromising the content.
    Note: 1. The Elements -- 2. Structure -- 3. Action -- 4. Entertainments -- 5. Law -- 6. Presentations -- 7. Appendix A: Fields -- 8. Appendix B: Relations and Orderings -- Further Reading -- Solutions.
    In: Springer eBooks
    Additional Edition: Printed edition: ISBN 9781852332358
    Language: English
    Library Location Call Number Volume/Issue/Year Availability
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  • 2
    Online Resource
    Online Resource
    London : Springer
    UID:
    gbv_1655429485
    Format: Online-Ressource (XVI, 256p. 16 illus, online resource)
    ISBN: 9781447104612
    Series Statement: Springer Undergraduate Mathematics Series
    Content: The theory of groups is simultaneously a branch of abstract algebra and the study of symmetry. Designed to support a reader engaged in a first serious group theory course, or a mathematically mature reader approaching the subject for the first time, this book reviews the essentials. It recaps the basic definitions and results, up to and including Lagrange's Theorem, and then continues to explore topics such as the isomorphism theorems and group actions. Later chapters include material on chain conditions and finiteness conditions, free groups and the theory of presentations. In addition, a novel chapter of "entertainments" takes the basic theory and plays with it to obtain an assortment of results that will show a little of what can be done with the theoretical machinery. Adopting the slightly irreverent tone of Geoff Smith's previous book, Introductory Mathematics: Algebra and Analysis, this book is a key reference that will both stimulate and entertain its readers
    Additional Edition: ISBN 9781852332358
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 978-185-233-235-8
    Language: English
    URL: Volltext  (lizenzpflichtig)
    Author information: Tabachnikova, Olga 1967-
    Library Location Call Number Volume/Issue/Year Availability
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