LEADER 03335nam 2200541 a 450 001 9910465224303321 005 20200520144314.0 010 $a0-88385-918-1 035 $a(CKB)2560000000081399 035 $a(SSID)ssj0000577639 035 $a(PQKBManifestationID)11399461 035 $a(PQKBTitleCode)TC0000577639 035 $a(PQKBWorkID)10561791 035 $a(PQKB)10862115 035 $a(UkCbUP)CR9780883859186 035 $a(MiAaPQ)EBC3330366 035 $a(Au-PeEL)EBL3330366 035 $a(CaPaEBR)ebr10728515 035 $a(OCoLC)929120455 035 $a(EXLCZ)992560000000081399 100 $a20090922d2009 uy 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt 182 $cc 183 $acr 200 12$aA guide to elementary number theory$b[electronic resource] /$fUnderwood Dudley 210 $a[Washington, D.C.] $cMathematical Association of America$dc2009 215 $a1 online resource (x, 141 pages) $cdigital, PDF file(s) 225 0$aDolciani mathematical expositions ;$vno. 41 225 0$aMAA guides ;$vno. 5 300 $aIncludes index. 311 $a0-88385-347-7 327 $aGreatest 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 -- x? + y? [not equal] z? -- 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. 330 $a"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. 606 $aNumber theory 608 $aElectronic books. 615 0$aNumber theory. 676 $a512.7/2 700 $aDudley$b Underwood$0919468 712 02$aMathematical Association of America. 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910465224303321 996 $aA guide to elementary number theory$92062314 997 $aUNINA