عنوان

A guide to elementary number theory /

شابک

0883853477

شابک

9780883853474

شماره

b429091

عنوان اصلي

A guide to elementary number theory /

نام عام مواد

[Book]

نام نخستين پديدآور

Underwood Dudley

محل نشرو پخش و غیره

[Washington, D.C.] :

نام ناشر، پخش کننده و غيره

Mathematical Association of America,

تاریخ نشرو بخش و غیره

c2009

نام خاص و کميت اثر

x, 141 p. :

ساير جزييات

ill. ;

ابعاد

24 cm

عنوان فروست

MAA guides ;

عنوان فروست

The Dolciani mathematical expositions ;

مشخصه جلد

# 5

مشخصه جلد

no. 41

متن يادداشت

Includes index

متن يادداشت

Greatest common divisors -- Unique factorization -- Linear Diophantine equations -- Congruences -- Linear congruences -- The Chinese remainder theorem -- Fermat's theorem -- Wilson's theorem -- The number of divisors of an integer -- The sum of the divisors of an integer -- Amicable numbers -- Perfect numbers -- Euler's theorem and function -- Primitive roots and orders -- Decimals -- Quadratic congruences -- Gauss's lemma -- The quadratic reciprocity theorem -- The Jacobi symbol -- Pythagorean triangles -- x⁴ + y⁴ [not equal] z⁴ -- Sums of two squares -- Sums of three squares -- Sums of four squares -- Waring's problem -- Pell's equation -- Continued fractions -- Multigrades -- Carmichael numbers -- Sophie Germain primes -- The group of multiplicative functions -- Bounds for [pi](x) -- The sum of the reciprocals of the primes -- The Riemann hypothesis -- The prime number theorem -- The abc conjecture -- Factorization and testing for primes -- Algebraic and transcendental numbers -- Unsolved problems

بدون عنوان

0

متن يادداشت

"A Guide to Elementary Number Theory is a 140-page exposition of the topics considered in a first course in number theory. It is intended for those who may have seen the material before but have half-forgotten it, and also for those who may have misspent their youth by not having a course in number theory and who want to see what it is about without having to wade through traditional texts, some of which approach 500 pages in length. It will be especially useful to graduate students preparing for qualifying exams. Though Plato did not quite say, "He is unworthy of the name of man who does not know which integers are the sums of two squares," he came close. This guide can make everyone more worthy."--P. [4] of cover

موضوع مستند نشده

Number theory

شماره

ويراست

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Dudley, Underwood

مستند نام تنالگان تاييد نشده

Mathematical Association of America

تاريخ عمليات

20130228113408.0

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y