Knockout Narratives Sale
 
 

Special Offers see all

Enter to WIN a $100 Credit

Subscribe to PowellsBooks.news
for a chance to win.
Privacy Policy

Visit our stores


    Recently Viewed clear list


    Original Essays | December 8, 2014

    Marina Warner: IMG How Is Fantasy Different from Fairy Tale?



    Fairy tale is a country of the mind where there are many inhabitants stretching back into deep time, and we're like people before Babel, we speak a... Continue »

    spacer

This item may be
out of stock.

Click on the button below to search for this title in other formats.


Check for Availability
Add to Wishlist

This title in other editions

Arithmetic of Quadratic Forms (Springer Monographs in Mathematics)

Arithmetic of Quadratic Forms (Springer Monographs in Mathematics) Cover

 

Synopses & Reviews

Publisher Comments:

This book is divided into two parts. The first part is preliminary and consists of algebraic number theory and the theory of semisimple algebras. There are two principal topics: classification of quadratic forms and quadratic Diophantine equations. The second topic is a new framework which contains the investigation of Gauss on the sums of three squares as a special case. To make the book concise, the author proves some basic theorems in number theory only in some special cases. However, the book is self-contained when the base field is the rational number field, and the main theorems are stated with an arbitrary number field as the base field. So the reader familiar with class field theory will be able to learn the arithmetic theory of quadratic forms with no further references.

Synopsis:

This book examines algebraic number theory and the theory of semisimple algebras. It covers classification over an algebraic number field and classification over the ring of algebraic integers.

Table of Contents

Preface.- Notation and Terminology.- The Quadratic Reciprocity Law.- Arithmetic in an Algebraic Number Field.- Various Basic Theorems.- Algebras Over a Field.- Quadratic Forms Over a Field.- Deeper Arithmetic of Quadratic Forms.- Quadratic Diophantine Equations.- References.- Index.-

Product Details

ISBN:
9781461426189
Publisher:
Springer
Location:
New York, NY
Author:
Shimura, Goro
Subject:
Algebra - General
Subject:
Clifford algebras
Subject:
Quadratic Diophantine equations
Subject:
Quadratic Forms
Subject:
Quadratic reciprocity law
Subject:
Semisimple algebras
Subject:
Strong approximation
Subject:
Sums of squares
Subject:
Algebra
Subject:
Number Theory
Subject:
General Algebraic Systems
Subject:
Mathematics - Algebra
Subject:
Mathematics
Subject:
B
Subject:
mathematics and statistics
Copyright:
Edition Description:
2010
Series:
Springer Monographs in Mathematics
Publication Date:
20120905
Binding:
TRADE PAPER
Language:
English
Pages:
252
Dimensions:
235 x 155 mm 386 gr

Related Subjects


Religion » Comparative Religion » General
Science and Mathematics » Mathematics » Algebra » Abstract Algebra
Science and Mathematics » Mathematics » Algebra » General
Science and Mathematics » Mathematics » General
Science and Mathematics » Mathematics » Number Theory

Arithmetic of Quadratic Forms (Springer Monographs in Mathematics)
0 stars - 0 reviews
$ In Stock
Product details 252 pages Springer - English 9781461426189 Reviews:
"Synopsis" by , This book examines algebraic number theory and the theory of semisimple algebras. It covers classification over an algebraic number field and classification over the ring of algebraic integers.
spacer
spacer
  • back to top

FOLLOW US ON...

     
Powell's City of Books is an independent bookstore in Portland, Oregon, that fills a whole city block with more than a million new, used, and out of print books. Shop those shelves — plus literally millions more books, DVDs, and gifts — here at Powells.com.