Number Theory in Function Fields: 210 (Graduate Texts in Mathematics, 210) - Image 1

£69.08

Springer Number Theory in Function Fields: 210 (Graduate Texts in Mathematics, 210)

Name: https://tosheroon.com/uploads/images/products/2/B0CPT41L31/fa60a4d2-3435-4364-89b5-78c1f4710596.webp
Brand: Springer
Price: 66.13 GBP
Availability: InStock

Health, Family & Lifestyle

Price History & Forecast

Last 28 days • 28 data points (No recent data available)

Historical

Generating forecast...

Price Distribution

Price distribution over 28 days • 2 price levels

Days at Price

Current Price

Price Analysis

Most common price: £66 (25 days, 89.3%)

Price range: £66 - £69

Price levels: 2 different prices over 28 days

Description

Elementary number theory is concerned with the arithmetic properties of the ring of integers, Z, and its field of fractions, the rational numbers, Q. Early on in the development of the subject it was noticed that Z has many properties in common with A = IF[T], the ring of polynomials over a finite field. Both rings are principal ideal domains, both have the property that the residue class ring of any non-zero ideal is finite, both rings have infinitely many prime elements, and both rings have finitely many units. Thus, one is led to suspect that many results which hold for Z have analogues of the ring A. This is indeed the case. The first four chapters of this book are devoted to illustrating this by presenting, for example, analogues of the little theorems of Fermat and Euler, Wilson's theorem, quadratic (and higher) reciprocity, the prime number theorem, and Dirichlet's theorem on primes in an arithmetic progression. All these results have been known for a long time, but it is hard to locate any exposition of them outside of the original papers. Algebraic number theory arises from elementary number theory by con sidering finite algebraic extensions K of Q, which are called algebraic num ber fields, and investigating properties of the ring of algebraic integers OK C K, defined as the integral closure of Z in K.

Product Specifications

Brand: Springer
Format: Hardcover
ASIN: 0387953353
Category: Books > Subjects > Health, Family & Lifestyle
Domain: Amazon UK
Release Date: 08 January 2002
Listed Since: 16 December 2006

Barcode

No barcode data available

Springer Number Theory in Function Fields: 210 (Graduate Texts in Mathematics, 210)

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Number Theory: Algebraic Numbers and Functions (Graduate Studies in Mathematics)

Algebraic Number Theory: 110 (Graduate Texts in Mathematics, 110)

Elementary and Analytic Theory of Algebraic Numbers (Springer Monographs in Mathematics)

Problems in Algebraic Number Theory: 190 (Graduate Texts in Mathematics, 190)

A Course in Analytic Number Theory (Graduate Studies in Mathematics)

Arithmetics: 0 (Universitext)

An Invitation To Algebraic Numbers And Algebraic Functions

Algebraic Number Theory

Introduction To Abstract Algebra, An: Sets, Groups, Rings, And Fields

Springer - From Classical L-Functions to Modern Reciprocity Laws

Elementary Methods in Number Theory: 195 (Graduate Texts in Mathematics, 195)

Introduction To Abstract Algebra, An: Sets, Groups, Rings, And Fields

Fundamentals of Diophantine Geometry

Fundamentals of Diophantine Geometry

Finite Fields: Theory and Computation: The Meeting Point of Number Theory, Computer Science, Coding Theory and Cryptography: 477 (Mathematics and Its Applications, 477)

Finite Fields: Theory and Computation: The Meeting Point of Number Theory, Computer Science, Coding Theory and Cryptography: 477 (Mathematics and Its Applications, 477)

Algebraic Number Theory and Fermat's Last Theorem

A First Course in Noncommutative Rings: 131 (Graduate Texts in Mathematics, 131)

Integers, Polynomials, and Rings: A Course in Algebra (Undergraduate Texts in Mathematics)

Elementary Number Theory (Textbooks in Mathematics)

World Scientific Analytic Methods In Number Theory Book

Field Arithmetic: 11 (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 11)

Field Arithmetic: 11 (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 11)

Algebraic Number Fields (Graduate Studies in Mathematics)