By Alain M. Robert
Discovered on the flip of the 20th century, p-adic numbers are often utilized by mathematicians and physicists. this article is a self-contained presentation of easy p-adic research with a spotlight on analytic issues. It bargains many gains hardly handled in introductory p-adic texts corresponding to topological versions of p-adic areas inside of Euclidian house, a distinct case of Hazewinkel’s practical equation lemma, and a therapy of analytic elements.
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There are numbers of every kind: rational, actual, advanced, p-adic. The p-adic numbers are much less renowned than the others, yet they play a basic function in quantity concept and in different components of arithmetic. This effortless advent deals a vast figuring out of p-adic numbers. From the studies: "It is likely to be the main compatible textual content for newbies, and that i shall certainly suggest it to someone who asks me what a p-adic quantity is.
From the stories: "This e-book supplies a radical advent to a number of theories which are primary to analyze on modular varieties. lots of the fabric, regardless of its value, had formerly been unavailable in textbook shape. whole and readable proofs are given. .. In end, this publication is a welcome boost to the literature for the becoming variety of scholars and mathematicians in different fields who are looking to comprehend the new advancements within the concept of modular types.
From a evaluation of the second one edition:"This booklet covers many fascinating subject matters no longer often lined in a gift day undergraduate path, in addition to definite uncomplicated subject matters reminiscent of the improvement of the calculus and the answer of polynomial equations. the truth that the subjects are brought of their old contexts will allow scholars to higher enjoy and comprehend the mathematical principles concerned.
The purpose of this ebook is to offer a scientific exposition of ends up in a few very important circumstances the place p-adic households and p-adic L-functions are studied. We first examine p-adic households within the following instances: common linear teams, symplectic teams and certain unitary teams. We additionally examine functions of this conception to modularity lifting difficulties.
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Additional resources for A Course in p-adic Analysis (Graduate Texts in Mathematics)
A Course in p-adic Analysis (Graduate Texts in Mathematics) by Alain M. Robert
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