Introduction to Modern Number Theory: Fundamental Problems, Ideas and Theories (Encyclopaedia of Mathematical Sciences) | 
 enlarge | Authors: Yu.i. Manin, Alexei A. Panchishkin
Brand: Xstamper
Category: Book
List Price: $159.00
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Rating:  2 reviews
Sales Rank: 835382
Media: Hardcover
Edition: 2nd
Pages: 514
Number Of Items: 1
Shipping Weight (lbs): 1.9
Dimensions (in): 9.1 x 6.5 x 1.3
MPN: N85
ISBN: 3540203648
Dewey Decimal Number: 512.7
EAN: 9783540203643
Publication Date: April 5, 2007
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| Customer Reviews:
Wonderful Arithmetic Geometry Book August 20, 2006
J.M.LeLivre
13 out of 15 found this review helpful
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).
very nice reference book October 12, 2008
Alan Math (Provo, UT)
This is an excellent reference for the researcher in number theory. The audience for this book would consist of professional mathematicians and university libraries.
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