p-adic Numbers: An Introduction (Universitext)

Gouvea, Fernando Quadros

ISBN 10: 3540629114 / ISBN 13: 9783540629115

Verlag: Springer, 2003

Beschreibung

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Bestandsnummer des Verkäufers Scanned3540629114

Bibliografische Details

• Titel: p-adic Numbers: An Introduction (Universitext)
• Verlag: Springer
• Erscheinungsjahr: 2003
• Sprache: Englisch
• ISBN-10: 3540629114
• ISBN-13: 9783540629115
• Einband: Paperback
• Auflage: 2. Auflage
• Zustand: new

Über diesen Titel

Inhaltsangabe

There are numbers of all kinds: rational, real, complex, p-adic. The p-adic numbers are less well known than the others, but they play a fundamental role in number theory and in other parts of mathematics. This elementary introduction offers a broad understanding of p-adic numbers.

From the reviews: "It is perhaps the most suitable text for beginners, and I shall definitely recommend it to anyone who asks me what a p-adic number is." --THE MATHEMATICAL GAZETTE

Críticas

From the reviews:

"This is a well-written introduction to the world of p-adic numbers. The reader is led into the rich structure of the fields Qp and Cp in a beautiful balance between analytic and algebraic aspects. The overall conclusion is simple: an extraordinarily nice manner to introduce the uninitiated to the subject. Not only giving the background necessary to pursue the matter, but doing it in such a way that a healthy 'hands-on experience'is generated in the process." Mededelingen van het wiskundig genootschap

"It is perhaps the most suitable text for beginners, and I shall definitely recommend it to anyone who asks me what a p-adic number is." The Mathematical Gazette

From the reviews of the second edition:

“If I had to recommend one book on the subject to a student – or even to a fully grown mathematician who had never played with p-adic numbers before – it would still be this book. ... Gouvêa has succeeded admirably in taking a topic that is not standard in the undergraduate mathematics curriculum and writing a book accessible to undergraduates that allows its reader to play with some intriguing mathematics and explore a topic which is both fun and important.” (Darren Glass, The Mathematical Association of America, January, 2011)