p-adic Numbers, p-adic Analysis, and Zeta-Functions

Neal Koblitz

ISBN 10: 1461270146 / ISBN 13: 9781461270140

Editore: Springer New York, Springer New York, 2012

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Druck auf Anfrage Neuware - Printed after ordering - Neal Koblitz was a student of Nicholas M. Katz, under whom he received his Ph.D. in mathematics at Princeton in 1974. He spent the year 1974 -75 and the spring semester 1978 in Moscow, where he did research in p -adic analysis and also translated Yu. I. Manin's 'Course in Mathematical Logic' (GTM 53). He taught at Harvard from 1975 to 1979, and since 1979 has been at the University of Washington in Seattle. He has published papers in number theory, algebraic geometry, and p-adic analysis, and he is the author of 'p-adic Analysis: A Short Course on Recent Work' (Cambridge University Press and GTM 97: 'Introduction to Elliptic Curves and Modular Forms (Springer-Verlag).

Codice articolo 9781461270140

Dati bibliografici

• Titolo: p-adic Numbers, p-adic Analysis, and Zeta-Functions
• Editore: Springer New York, Springer New York
• Data di pubblicazione: 2012
• Lingua: Inglese
• ISBN 10: 1461270146
• ISBN 13: 9781461270140
• Rilegatura: Taschenbuch
• Edizione: seconda edizione
• Condizione: Neu

Descrizione articolo

Riassunto

The most important revision in the second edition are the enlargment of the treatment of p-adic functions in Ch. 4 to include the Iwasawa logarithm and the p-adic gamma-function, the rearrangement and addition of some exercises, the inclusion of an extensive appendix of answers and hints to the exercises, and numerous corrections and clarifications. The first edition has become the standard introduction to the theory of p-adic numbers on the advanced undergraduate and beginning graduate level.

Recensione

From the reviews of the second edition:

“In the second edition of this text, Koblitz presents a wide-ranging introduction to the theory of p-adic numbers and functions. ... there are some really nice exercises that allow the reader to explore the material. ... And with the exercises, the book would make a good textbook for a graduate course, provided the students have a decent background in analysis and number theory.” (Donald L. Vestal, The Mathematical Association of America, April, 2011)