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Introduction to Modern Number Theory: Fundamental Problems, Ideas and Theories (Encyclopaedia of Mathematical Sciences) [Hardcover]

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Item description for Introduction to Modern Number Theory: Fundamental Problems, Ideas and Theories (Encyclopaedia of Mathematical Sciences) by Yuri Ivanovic Manin & Alexei A. Panchishkin...

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Item Specifications...


Pages   514
Est. Packaging Dimensions:   Length: 1.5" Width: 6.5" Height: 9.5"
Weight:   1.98 lbs.
Binding  Hardcover
Release Date   Apr 5, 2007
Publisher   Springer
ISBN  3540203648  
ISBN13  9783540203643  


Availability  125 units.
Availability accurate as of Mar 27, 2017 06:29.
Usually ships within one to two business days from La Vergne, TN.
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Product Categories

1Books > Special Features > New & Used Textbooks > Sciences > Mathematics > Geometry
2Books > Subjects > Computers & Internet > General
3Books > Subjects > Professional & Technical > Professional Science > Mathematics > Geometry & Topology > Algebraic Geometry
4Books > Subjects > Professional & Technical > Professional Science > Mathematics > Pure Mathematics > Number Theory
5Books > Subjects > Science > General
6Books > Subjects > Science > Mathematics > General
7Books > Subjects > Science > Mathematics > Geometry & Topology > Algebraic Geometry
8Books > Subjects > Science > Mathematics > Pure Mathematics > Number Theory



Reviews - What do customers think about Introduction to Modern Number Theory: Fundamental Problems, Ideas and Theories (Encyclopaedia of Mathematical Sciences)?

Wonderful Arithmetic Geometry Book  Aug 20, 2006
This Book is a cornerstone in Arithmetic Geometry.

It is the first time in a single Book so different
arguments find a common place.

Let me say that the idea of dividing the work into
three parts,depending on the approach, is entirely
new. In fact,

Part 1 starts with elementary theory & applications(primes,diophantine equations& approx)

Part 2 gives an account of recent ideas and theory
(ch.3:Logic & Recursion, with a sketch of proof of
Matiyasevic's Theorem;ch.4:Algebraic NumberTheory;
ch.5:Arithmetic of Algebraic Varieties;ch.6: deals
with Zeta functions and modular forms;ch.7:gives a
picture, complete indeed, of Wiles'proof of Fermat
Last Theorem)

Part 3 gives "Analogies and Visions",i.e. the link
between numbers fields and function fields(usually
this analogy is only admitted, but never explained
in other books) and other analogies involving many
recent arguments in Arithmetic Geometry (such as :
Schottky uniformization, Arakelov Geometry, Zetas,
Dynamics and Cohomology).
 

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