عنوان

Algebraic theory of quadratic numbers /

شابک

1461477174 (electronic bk.)

شابک

9781461477174 (electronic bk.)

شابک اشتباه

9781461477167

شماره

dltt

عنوان اصلي

Algebraic theory of quadratic numbers /

نام عام مواد

[Book]

نام نخستين پديدآور

Mak Trifković

نام خاص و کميت اثر

1 online resource (xi, 197 pages) :

ساير جزييات

illustrations

عنوان فروست

Universitext,

شاپا ي ISSN فروست

0172-5939

متن يادداشت

Includes bibliographical references and index

متن يادداشت

Examples -- A Crash Course in Ring Theory -- Lattices -- Arithmetic in Q[ D] -- The Ideal Class Group and Geometry of Numbers -- Continued Fractions -- Quadratic Forms

بدون عنوان

0

متن يادداشت

By focusing on quadratic numbers, this advanced undergraduate or master s level textbook on algebraic number theory is accessible even to students who have yet to learn Galois theory. The techniques of elementary arithmetic, ring theory and linear algebra are shown working together to prove important theorems, such as the unique factorization of ideals and the finiteness of the ideal class group. The book concludes with two topics particular to quadratic fields: continued fractions and quadratic forms. The treatment of quadratic forms is somewhat more advanced than usual, with an emphasis on their connection with ideal classes and a discussion of Bhargava cubes. The numerous exercises in the text offer the reader hands-on computational experience with elements and ideals in quadratic number fields. The reader is also asked to fill in the details of proofs and develop extra topics, like the theory of orders. Prerequisites include elementary number theory and a basic familiarity with ring theory

عنوان

OhioLINK electronic book center (Online)

عنوان

SpringerLink

موضوع مستند نشده

Algebraic number theory

موضوع مستند نشده

MAT022000

موضوع مستند نشده

PBH

شماره

ويراست

شماره رده

شماره رده

مستند نام اشخاص تاييد نشده

Trifković, Mak

مستند نام تنالگان تاييد نشده

Ohio Library and Information Network

تاريخ عمليات

20131202122230.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y