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P-adic numbers : an introduction /

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 re...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Gouvêa, Fernando Q. (Fernando Quadros)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin ; New York : Springer-Verlag, [1993]
Colección:Universitext.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Gouvêa, Fernando Q.  |q (Fernando Quadros)  |1 https://id.oclc.org/worldcat/entity/E39PBJdGRqhFFCqbVB4rv7FFrq 
245 1 0 |a P-adic numbers :  |b an introduction /  |c Fernando Q. Gouvêa. 
264 1 |a Berlin ;  |a New York :  |b Springer-Verlag,  |c [1993] 
264 4 |c ©1993 
300 |a 1 online resource (vi, 282 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
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490 1 |a Universitext. 
504 |a Includes bibliographical references (pages 277-278) and index. 
520 |a 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. 
588 0 |a Print version record. 
505 0 |a 1 Apéritif -- 2 Foundations -- 3 p-adic Numbers -- 4 Elementary Analysis in? p -- 5 Vector Spaces and Field Extensions -- 6 Analysis in? p -- A Hints and Comments on the Problems -- B A Brief Glance at the Literature -- B.1 Texts -- B.2 Software -- B.3 Other books. 
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650 0 |a p-adic numbers. 
650 6 |a Nombres p-adiques. 
650 7 |a p-adic numbers  |2 fast 
650 7 |a p-adische Zahl  |2 gnd 
650 1 7 |a P-adische getallen.  |2 gtt 
650 7 |a Nombres p-adiques.  |2 ram 
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