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Davenport-Zannier Polynomials and Dessins d'Enfants (Paperback)
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Davenport-Zannier Polynomials and Dessins d'Enfants (Paperback)
Series: Mathematical Surveys and Monographs
Expected to ship within 12 - 17 working days
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The French expression "dessins d'enfants'' means children's
drawings. This term was coined by the great French mathematician
Alexandre Grothendieck in order to denominate a method of pictorial
representation of some highly interesting classes of polynomials
and rational functions. The polynomials studied in this book take
their origin in number theory. The authors show how, by drawing
simple pictures, one can prove some long-standing conjectures and
formulate new ones. The theory presented here touches upon many
different fields of mathematics. The major part of the book is
quite elementary and is easily accessible to an undergraduate
student. The less elementary parts, such as Galois theory or group
representations and their characters, would need a more profound
knowledge of mathematics. The reader may either take the basic
facts of these theories for granted or use our book as a motivation
and a first approach to these subjects.
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