|
Books > Science & Mathematics > Mathematics > Algebra
|
Buy Now
An Invitation To Algebraic Numbers And Algebraic Functions (Hardcover)
Loot Price: R3,613
Discovery Miles 36 130
|
|
|
An Invitation To Algebraic Numbers And Algebraic Functions (Hardcover)
Expected to ship within 12 - 19 working days
|
The author offers a thorough presentation of the classical theory
of algebraic numbers and algebraic functions which both in its
conception and in many details differs from the current literature
on the subject. The basic features are: Field-theoretic
preliminaries and a detailed presentation of Dedekind's ideal
theory including non-principal orders and various types of class
groups; the classical theory of algebraic number fields with a
focus on quadratic, cubic and cyclotomic fields; basics of the
analytic theory including the prime ideal theorem, density results
and the determination of the arithmetic by the class group; a
thorough presentation of valuation theory including the theory of
difference, discriminants, and higher ramification. The theory of
function fields is based on the ideal and valuation theory
developed before; it presents the Riemann-Roch theorem on the basis
of Weil differentials and highlights in detail the connection with
classical differentials. The theory of congruence zeta functions
and a proof of the Hasse-Weil theorem represent the culminating
point of the volume. The volume is accessible with a basic
knowledge in algebra and elementary number theory. It empowers the
reader to follow the advanced number-theoretic literature, and is a
solid basis for the study of the forthcoming volume on the
foundations and main results of class field theory. Key features: *
A thorough presentation of the theory of Algebraic Numbers and
Algebraic Functions on an ideal and valuation-theoretic basis. *
Several of the topics both in the number field and in the function
field case were not presented before in this context. * Despite
presenting many advanced topics, the text is easily readable. Franz
Halter-Koch is professor emeritus at the university of Graz. He is
the author of "Ideal Systems" (Marcel Dekker,1998), "Quadratic
Irrationals" (CRC, 2013), and a co-author of "Non-Unique
Factorizations" (CRC 2006).
General
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!
|
You might also like..
|
Email address subscribed successfully.
A activation email has been sent to you.
Please click the link in that email to activate your subscription.
Welcome to Loot.co.za!
Sign in / Register |Wishlists & Gift Vouchers |Help | Advanced search
