Electronic Resource

Algebraic theory of quadratic numbers

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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.

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Ketersediaan

Informasi Detail

Judul Seri

Universitext

No. Panggil

E609

Penerbit

New York : Springer., 2013

Deskripsi Fisik

xi, 197 hlm.

Bahasa

English

ISBN/ISSN

9781461477174

Klasifikasi

NONE

Tipe Isi

text

Tipe Media

computer

Tipe Pembawa

online resource

Edisi

1

Subjek

Aljabar
Teori bilangan

Info Detail Spesifik

-

Pernyataan Tanggungjawab

Mak Trifković

Versi lain/terkait

Lampiran Berkas

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