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Introduction to P-Adic Numbers and Their Functions

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Release : 1973-03-29
Genre : Mathematics
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Book Synopsis Introduction to P-Adic Numbers and Their Functions by : Kurt Mahler

Download or read book Introduction to P-Adic Numbers and Their Functions written by Kurt Mahler. This book was released on 1973-03-29. Available in PDF, EPUB and Kindle. Book excerpt:

p-adic Numbers

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Release : 2013-06-29
Genre : Mathematics
Kind : eBook
Book Rating : 787/5 ( reviews)

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Book Synopsis p-adic Numbers by : Fernando Q. Gouvea

Download or read book p-adic Numbers written by Fernando Q. Gouvea. This book was released on 2013-06-29. Available in PDF, EPUB and Kindle. Book excerpt: p-adic numbers are of great theoretical importance in number theory, since they allow the use of the language of analysis to study problems relating toprime numbers and diophantine equations. Further, they offer a realm where one can do things that are very similar to classical analysis, but with results that are quite unusual. The book should be of use to students interested in number theory, but at the same time offers an interesting example of the many connections between different parts of mathematics. The book strives to be understandable to an undergraduate audience. Very little background has been assumed, and the presentation is leisurely. There are many problems, which should help readers who are working on their own (a large appendix with hints on the problem is included). Most of all, the book should offer undergraduates exposure to some interesting mathematics which is off the beaten track. Those who will later specialize in number theory, algebraic geometry, and related subjects will benefit more directly, but all mathematics students can enjoy the book.

Introduction to P-adic Numbers and Their Functions

Download Introduction to P-adic Numbers and Their Functions PDF Online Free

Author :
Release : 1973
Genre : Fonctions numériques
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Introduction to P-adic Numbers and Their Functions by : Kurt Mahler

Download or read book Introduction to P-adic Numbers and Their Functions written by Kurt Mahler. This book was released on 1973. Available in PDF, EPUB and Kindle. Book excerpt:

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

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Author :
Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 123/5 ( reviews)

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Book Synopsis p-adic Numbers, p-adic Analysis, and Zeta-Functions by : Neal Koblitz

Download or read book p-adic Numbers, p-adic Analysis, and Zeta-Functions written by Neal Koblitz. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: The first edition of this work has become the standard introduction to the theory of p-adic numbers at both the advanced undergraduate and beginning graduate level. This second edition includes a deeper 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, as well as numerous clarifications.

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

Download p-adic Numbers, p-adic Analysis, and Zeta-Functions PDF Online Free

Author :
Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 479/5 ( reviews)

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Book Synopsis p-adic Numbers, p-adic Analysis, and Zeta-Functions by : NEAL Koblitz

Download or read book p-adic Numbers, p-adic Analysis, and Zeta-Functions written by NEAL Koblitz. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: 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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