LEADER 03921nam 22005772 450 001 9910791745703321 005 20151002020706.0 010 $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(RPAM)15916588 035 $a(EXLCZ)992560000000081399 100 $a20111104d2009|||| uy| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 12$aA guide to elementary number theory /$fUnderwood Dudley$b[electronic resource] 210 1$aWashington :$cMathematical Association of America,$d2009. 215 $a1 online resource (x, 141 pages) $cdigital, PDF file(s) 225 1 $aDolciani Mathematical Expositions, $vv. 41 225 0$aDolciani mathematical expositions ;$vno. 41 225 0$aMAA guides ;$vno. 5 300 $aTitle from publisher's bibliographic system (viewed on 02 Oct 2015). 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 $aCHOICE Award winner! A Guide to Elementary Number Theory is a 140-page exposition of the topics considered in a first course in number theory. It is intended for those who may have seen the material before but have half-forgotten it, and also for those who may have misspent their youth by not having a course in number theory and who want to see what it is about without having to wade through a traditional text, some of which approach 500 pages in length. It will be especially useful to graduate student preparing for the qualifying exams. Underwood Dudley received the Ph.D. degree (number theory) from the University of Michigan in 1965. He taught at the Ohio State University and at DePauw University, from which he retired in 2004. He is the author of three books on mathematical oddities, The Trisectors, Mathematical Cranks, and Numerology all published by the Mathematical Association of America. He has also served as editor of the College Mathematics Journal, the Pi Mu Epsilon Journal, and two of the Mathematical Association of America's book series. 410 0$aDolciani mathematical expositions ;$vno. 41. 410 0$aMAA guides ;$vno. 5. 606 $aNumber theory 615 0$aNumber theory. 676 $a512.7/2 686 $aSK 180$2rvk 700 $aDudley$b Underwood$01190545 712 02$aMathematical Association of America, 801 0$bUkCbUP 801 1$bUkCbUP 906 $aBOOK 912 $a9910791745703321 996 $aA guide to elementary number theory$93694334 997 $aUNINA LEADER 03354nam 2200601 450 001 9910817129203321 005 20180322114856.0 010 $a0-8218-7699-6 010 $a0-8218-5118-7 035 $a(CKB)3240000000069638 035 $a(EBL)3113097 035 $a(SSID)ssj0000712504 035 $a(PQKBManifestationID)11468821 035 $a(PQKBTitleCode)TC0000712504 035 $a(PQKBWorkID)10649128 035 $a(PQKB)10389807 035 $a(MiAaPQ)EBC3113097 035 $a(WaSeSS)Ind00039495 035 $a(RPAM)4835937 035 $a(PPN)197104347 035 $a(EXLCZ)993240000000069638 100 $a19900731h19901990 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aFinite geometries and combinatorial designs $eproceedings of the AMS Special Session in Finite Geometries and Combinatorial Designs, held October 29-November 1, 1987 /$fEarl S. Kramer and Spyros S. Magliveras, editors 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[1990] 210 4$dİ1990 215 $a1 online resource (332 p.) 225 1 $aContemporary mathematics,$x0271-4132 ;$vvolume 111 300 $aSession held in Lincoln, Nebraska. 320 $aIncludes bibliographical references. 327 $a""Contents""; ""Preface""; ""List of Contributors""; ""List of Participants""; ""A Note on Hamilton Cycles in Block-Intersection Graphs""; ""All Dicyclic Groups of Order at Least Twelve Have Symmetric Sequencings""; ""Concerning Pairwise Balanced Designs With Prime Power Block Sizes""; ""On the p-Rank of Incidence Matrices and a Question of E.S. Lander""; ""On the Dempwolff Plane""; ""Difference Sets in 2-Groups""; ""On the Existence of Room Squares with Subsquares""; ""A Bound for Blocking Sets in Finite Projective Planes"" 327 $a""Sets With More Than One Representation as an Algebraic Curve of Degree Three""""Flocks and Partial Flocks of Quadric Sets""; ""The Finite Flag-Transitive Linear Spaces with an Exceptional Automorphism Group""; ""Constructing 6-(14,7,4) Designs""; ""On the Classification of Finite Cn-Geometries with Thick Lines""; ""Cyclic Codes and Cyclic Configurations""; ""Designs and Approximation""; ""Flocks, Maximal Exterior Sets, and Inversive Planes""; ""Self-Orthogonal Designs""; ""Nonembeddable Quasi-Residual Designs""; ""Finite Planes And Clique Partitions""; ""Oval Designs in Quadrics"" 327 $a""On the Order of a Finite Projective Plane and its Collineation Group""""Some Geometric Aspects of Root Finding in GF(qm)""; ""Automorphism Groups as Linear Groups"" 410 0$aContemporary mathematics (American Mathematical Society) ;$vv. 111. 606 $aFinite geometries$vCongresses 606 $aCombinatorial designs and configurations$vCongresses 615 0$aFinite geometries 615 0$aCombinatorial designs and configurations 676 $a516/.13 702 $aKramer$b Earl S$g(Earl Sidney),$f1940- 702 $aMagliveras$b Spyros S$g(Spyros Simos),$f1938- 712 12$aAMS Special Session in Finite Geometries and Combinatorial Designs 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910817129203321 996 $aFinite geometries and combinatorial designs$979061 997 $aUNINA