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 to prime 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 ...
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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 to prime 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. 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.
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Publisher:
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Published:
1993
Language:
English
Alibris ID:
18108105749
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Seller's Description:
Very Good+ with no dust jacket. 3540568441. Slight bumping on top and bottom of spine. Previous owners name written in blue pen on frontpaste down.; ''P-Adic Numbers: An Introduction'' by Fernando Q. Gouvêa offers a clear and accessible exploration of p-adic numbers, a vital concept in number theory. Part of the Universitext series, this book introduces p-adic analysis, arithmetic, and its applications in a straightforward manner, making it ideal for both students and mathematicians. Gouvêa's text emphasizes intuition, examples, and the historical context behind these numbers.; 15.5x 23.3 x 1.5cm; vi, 282 pages.