Introduction to P-Adic Numbers and Their Functions - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to P-Adic Numbers and Their Functions write by Kurt Mahler. This book was released on 1973-03-29. Introduction to P-Adic Numbers and Their Functions available in PDF, EPUB and Kindle.
p-adic Numbers
p-adic Numbers - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook p-adic Numbers write by Fernando Q. Gouvea. This book was released on 2013-06-29. p-adic Numbers available in PDF, EPUB and Kindle. 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
Introduction to P-adic Numbers and Their Functions - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to P-adic Numbers and Their Functions write by Kurt Mahler. This book was released on 1973. Introduction to P-adic Numbers and Their Functions available in PDF, EPUB and Kindle.
p-adic Numbers, p-adic Analysis, and Zeta-Functions
p-adic Numbers, p-adic Analysis, and Zeta-Functions - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook p-adic Numbers, p-adic Analysis, and Zeta-Functions write by Neal Koblitz. This book was released on 2012-12-06. p-adic Numbers, p-adic Analysis, and Zeta-Functions available in PDF, EPUB and Kindle. 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
p-adic Numbers, p-adic Analysis, and Zeta-Functions - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook p-adic Numbers, p-adic Analysis, and Zeta-Functions write by NEAL Koblitz. This book was released on 2012-12-06. p-adic Numbers, p-adic Analysis, and Zeta-Functions available in PDF, EPUB and Kindle. 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).
