Difference Sets: Connecting Algebra, Combinatorics, and Geometry (Student Mathematical Library) - Softcover

Moore, Emily H.; Pollatsek, Harriet S.

 
9780821891766: Difference Sets: Connecting Algebra, Combinatorics, and Geometry (Student Mathematical Library)
Softcover
ISBN 10: 0821891766 ISBN 13: 9780821891766
Verlag: American Mathematical Society, 2013

Inhaltsangabe

Difference sets belong both to group theory and to combinatorics. Studying them requires tools from geometry, number theory, and representation theory. This book lays a foundation for these topics, including a primer on representations and characters of finite groups. It makes the research literature on difference sets accessible to students who have studied linear algebra and abstract algebra, and it prepares them to do their own research. This text is suitable for an undergraduate capstone course, since it illuminates the many links among topics that the students have already studied. To this end, almost every chapter ends with a coda highlighting the main ideas and emphasising mathematical connections.

This book can also be used for self-study by anyone interested in these connections and concrete examples. An abundance of exercises, varying from straightforward to challenging, invites the reader to solve puzzles, construct proofs, and investigate problems - by hand or on a computer. Hints and solutions are provided for selected exercises, and there is an extensive bibliography. The last chapter introduces a number of applications to real-world problems and offers suggestions for further reading. Both authors are experienced teachers who have successfully supervised undergraduate research on difference sets.

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Über die Autorin bzw. den Autor

Emily H. Moore, Grinnell College, IA, USA.

Harriet S. Pollatsek, Mount Holyoke College, South Hadley, MA, USA.

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Verlag
American Mathematical Society
Erscheinungsdatum
2013
Sprache
Englisch
ISBN 10 
0821891766
ISBN 13 
9780821891766
Einband
Tapa blanda
Anzahl der Seiten
298
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
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