The p-adic norm and the p-adic numbers. Chapter 3. Some elementary p-adic analysis. Chapter 4. The topology of Qp. Chapter 5. p-adic algebraic. P-Adic Numbers has 8 ratings and 1 review. Ben said: I really love the way Gouvea writes about math. There are two things I love in particular:1) He is. To my eyes, the most glaring omission was a book by Fernando Gouvêa, originally published in , entitled p-adic Numbers: An Introduction.
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So we have an immediate proof of the irrationality of. An Introduction, 2nd ed. Gouvea No preview available – Any nonzero rational number can be represented by.
Gage Hoefer is currently reading it Jun 04, Book ratings by Goodreads. There are few adventures in other territories, and few opportunities to visit some of gouveq more exotic cor ners of mathematics. Skolem’s -adic method, which is used in attacking certain Diophantine equationsis another powerful application of -adic numbers. No trivia or quizzes yet.
Paperbackpages. Such a visit offers a glimpse of a part of mathematics nunbers is both important and fun, and which also is something of a meeting point between algebra and analysis. Other editions – View all p-adic Numbers: In language mathematicians will find familiar, this means all the ideas are motivated, but it goes beyond that. Daniel rated it really liked it Dec 25, Monthly, Fullerene-Based Materials Kosmas Prassides.
P-adic Numbers and Their Functions, 2nd ed.
p-adic Numbers: An Introduction – Fernando Quadros Gouvea – Google Books
Over the last century, p-adic numbers and p-adic analysis have come to playa central role in modern number theory. Yet another application is provided by the Mahler-Lech theorem.
Want to Read Currently Reading Read. The -adic numbers are useful in solving Diophantine equations. Structure and Numbres Jack David Dunitz.
Unlimited random practice problems and answers with built-in Numbera solutions. The overall conclusion is simple: Nitin CR added it Dec 31, To ask other readers questions about P-Adic Numbersplease sign up. Such equations are said to satisfy the Hasse principle. Joao Alberto de Faria rated it really liked it Aug 08, Contact the MathWorld Team.
Visit our Beautiful Books page and find lovely books for kids, photography lovers and more. A similar application is the proof of the von Staudt-Clausen theorem using the -adic valuation, although the technical details are somewhat difficult.
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P-Adic Numbers: An Introduction
In the course of their undergraduate careers, most mathematics majors see little beyond “standard mathematics: Infinite Series and p -adic Analysis.
Selected pages Title Page.
Noah Lichtblau is currently reading it Oct 30, There are two things I love in particular: Jonathan added aic Feb 17, Structure and Bonding C. Refresh and try again. Description There are numbers of all kinds: Walk through homework problems step-by-step from beginning to end.
p-adic Numbers : An Introduction
There are numbers of all kinds: Trivia About P-Adic Numbers: B A Brief Glance at the Literature. Product details Format Paperback pages Dimensions x x Algebraic Numbers and Functions.
Verein 6, P-Adic Numbers Fernando Q.