By Melvyn B. Nathanson
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There are numbers of every kind: rational, actual, advanced, p-adic. The p-adic numbers are much less popular than the others, yet they play a basic position in quantity concept and in different elements of arithmetic. This straight forward creation deals a extensive realizing 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 an individual who asks me what a p-adic quantity is.
From the experiences: "This e-book supplies a radical advent to numerous theories which are basic to investigate on modular varieties. many 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 transforming into variety of scholars and mathematicians in different fields who are looking to comprehend the new advancements within the thought of modular kinds.
From a evaluation of the second one edition:"This publication covers many fascinating subject matters now not often lined in a gift day undergraduate direction, in addition to convinced easy subject matters comparable to the advance of the calculus and the answer of polynomial equations. the truth that the subjects are brought of their ancient contexts will let scholars to raised get pleasure from and comprehend the mathematical principles concerned.
The purpose of this booklet is to provide a scientific exposition of leads to a few very important situations 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 sure unitary teams. We additionally examine purposes of this thought to modularity lifting difficulties.
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Additive Number Theory The Classical Bases (Graduate Texts in Mathematics) by Melvyn B. Nathanson
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