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Original Essays | September 15, 2014

Lois Leveen: IMG Forsooth Me Not: Shakespeare, Juliet, Her Nurse, and a Novel



There's this writer, William Shakespeare. Perhaps you've heard of him. He wrote this play, Romeo and Juliet. Maybe you've heard of it as well. It's... Continue »
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    Juliet's Nurse

    Lois Leveen 9781476757445

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25 Remote Warehouse Mathematics- Number Theory

This title in other editions

Graduate Texts in Mathematics #186: Fourier Analysis on Number Fields

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Graduate Texts in Mathematics #186: Fourier Analysis on Number Fields Cover

 

Synopses & Reviews

Publisher Comments:

A modern approach to number theory through a blending of complementary algebraic and analytic perspectives, emphasising harmonic analysis on topological groups. The main goal is to cover John Tates visionary thesis, giving virtually all of the necessary analytic details and topological preliminaries — technical prerequisites that are often foreign to the typical, more algebraically inclined number theorist. While most of the existing treatments of Tates thesis are somewhat terse and less than complete, the intent here is to be more leisurely, more comprehensive, and more comprehensible. While the choice of objects and methods is naturally guided by specific mathematical goals, the approach is by no means narrow. In fact, the subject matter at hand is germane not only to budding number theorists, but also to students of harmonic analysis or the representation theory of Lie groups. The text addresses students who have taken a year of graduate-level course in algebra, analysis, and topology. Moreover, the work will act as a good reference for working mathematicians interested in any of these fields.

Table of Contents

Topological Groups.- Some Representation Theory.- Duality for Locally Compact Abelian Groups.- The Structure of Arithmetic Fields.- Adeles, Ideles, and the Class Groups.- A Quick Tour of Class Field Theory.- Tate's Thesis and Applications.

Product Details

ISBN:
9780387984360
Other:
Ramakrishnan, Dinakar
Author:
Valenza, Robert J.
Author:
Ramakrishnan, Dinakar
Publisher:
Springer
Location:
New York, NY
Subject:
Physics
Subject:
Mathematical Analysis
Subject:
Number Theory
Subject:
Mathematical Physics
Subject:
Fourier analysis
Subject:
General Mathematics
Subject:
Mathematics - General
Subject:
Mathematics-Number Theory
Subject:
Analysis
Subject:
Mathematics
Subject:
Language, literature and biography
Subject:
mathematics and statistics
Subject:
Global analysis (Mathematics)
Copyright:
Edition Description:
Book
Series:
Graduate Texts in Mathematics
Series Volume:
186
Publication Date:
19981207
Binding:
HARDCOVER
Language:
English
Illustrations:
Yes
Pages:
374
Dimensions:
235 x 155 mm 712 gr

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Related Subjects


Science and Mathematics » Mathematics » Analysis General
Science and Mathematics » Mathematics » Number Theory
Science and Mathematics » Mathematics » Topology
Science and Mathematics » Physics » Math

Graduate Texts in Mathematics #186: Fourier Analysis on Number Fields New Hardcover
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Product details 374 pages Springer-Verlag - English 9780387984360 Reviews:
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