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Topics in Group Theory
Taschenbuch von Olga Tabachnikova (u. a.)
Sprache: Englisch

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Beschreibung
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 managedto 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.
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 managedto 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.
Zusammenfassung

This book reviews the essentials of group theory. It recaps all the basic definitions and results. The author's informal style and irreverent approach has proved popular with students and lecturers alike: his book Introductory Mathematics: Algebra and Analysis is one of SUMS' best-selling titles.

Inhaltsverzeichnis
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.
Details
Medium: Taschenbuch
Seiten: 272
Reihe: Springer Undergraduate Mathematics Series
Inhalt: xvi
256 S.
16 s/w Illustr.
ISBN-13: 9781852332358
ISBN-10: 1852332352
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Tabachnikova, Olga
Smith, Geoff
Auflage: 2000
Hersteller: Springer London
Springer Undergraduate Mathematics Series
Maße: 254 x 178 x 15 mm
Von/Mit: Olga Tabachnikova (u. a.)
Erscheinungsdatum: 15.05.2000
Gewicht: 0,518 kg
preigu-id: 106192080
Zusammenfassung

This book reviews the essentials of group theory. It recaps all the basic definitions and results. The author's informal style and irreverent approach has proved popular with students and lecturers alike: his book Introductory Mathematics: Algebra and Analysis is one of SUMS' best-selling titles.

Inhaltsverzeichnis
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.
Details
Medium: Taschenbuch
Seiten: 272
Reihe: Springer Undergraduate Mathematics Series
Inhalt: xvi
256 S.
16 s/w Illustr.
ISBN-13: 9781852332358
ISBN-10: 1852332352
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Tabachnikova, Olga
Smith, Geoff
Auflage: 2000
Hersteller: Springer London
Springer Undergraduate Mathematics Series
Maße: 254 x 178 x 15 mm
Von/Mit: Olga Tabachnikova (u. a.)
Erscheinungsdatum: 15.05.2000
Gewicht: 0,518 kg
preigu-id: 106192080
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