p adic Numbers p adic Analysis and Zeta Functions is popular PDF and ePub book, written by NEAL Koblitz in 2012-12-06, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, p adic Numbers p adic Analysis and Zeta Functions can be Read Online from any device for your convenience.
p adic Numbers p adic Analysis and Zeta Functions Book PDF Summary
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 My treatment is based on Mazur's Bourbaki notes (unpublished).
Detail Book of p adic Numbers p adic Analysis and Zeta Functions PDF
- Author : NEAL Koblitz
- Release : 06 December 2012
- Publisher : Springer Science & Business Media
- ISBN : 9781468400472
- Genre : Mathematics
- Total Page : 134 pages
- Language : English
- PDF File Size : 21,7 Mb
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