Volume 58 only. Cover is lightly scuffed and corners are worn. Bottom edge of back cover board is lightly bumped. Spine is lightly sunned, but text is legible. Spine is lightly bumped and slightly shaken, but binding is secure. Light pencil annotations in the margins of some pages, which are otherwise clean.

Codice articolo 1136101

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Dati bibliografici

Titolo

p-adic Numbers. p-adic Analysis, and Zeta-Functions (Graduate Texts in Mathematics, Vol. 58)

Editore

Springer-Verlag

Data di pubblicazione

1977

Lingua

Inglese

ISBN 10

0387902740

ISBN 13

9780387902746

Rilegatura

Hard cover

Edizione

seconda edizione

Condizione

Good

Condizione della sovraccoperta

No jacket

Cataloghi dei venditori

Mathematics

Descrizione articolo

Riassunto

These lecture notes are intended as an introduction to p-adic analysis on the elementary level. For this reason they presuppose as little background as possi� ble. Besides about three semesters of calculus, I presume some slight exposure to more abstract mathematics, to the extent that the student won't have an adverse reaction to matrices with entries in a field other than the real numbers, field extensions of the rational numbers, or the notion of a continuous map of topolog� ical spaces. The purpose of this book is twofold: to develop some basic ideas of p-adic analysis, and to present two striking applications which, it is hoped, can be as effective pedagogically as they were historically in stimulating interest in the field. The first of these applications is presented in Chapter II, since it only requires the most elementary properties of Q ; this is Mazur's construction by p means of p-adic integration of the Kubota-Leopoldtp-adic zeta-function, which "p-adically interpolates" the values of the Riemann zeta-function at the negative odd integers. My treatment is based on Mazur's Bourbaki notes (unpublished).

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