A Bibliography of Publications in American Mathematical Monthly: 1990{1999 Nelson H. F. Beebe University of Utah Department of Mathematics, 110 LCB 155 S 1400 E RM 233 Salt Lake City, UT 84112-0090 USA Tel: +1 801 581 5254 FAX: +1 801 581 4148 E-mail: [email protected], [email protected], [email protected] (Internet) WWW URL: http://www.math.utah.edu/~beebe/ 14 October 2017 Version 1.19 Title word cross-reference NF [737]. !(n) [82]. p [619, 149, 694, 412]. P2 [357]. p ≡ 1 (mod 4) [34]. φ [674]. φ(30n + 1) [947]. Φpq(X) [618]. π 0 y − z 2 [105]. 1 [21]. (logx N) [333]. (x +1) x = 1 [845]. 0 [740, 684, 693, 950, 489]. π 2 3 [495, 1]. 1 [495, 1]. 1=p [511]. 10 [140]. 168 Qc(x)=x + c [399]. R [35, 226].p R [357].p n n R [62, 588]. S6 [315]. σ [19]. −1 [995]. 2 [538]. 2 [335]. $29.50 [792]. 2 :n! [1003]. p p p P1 n × 2 × 2 [26]. 3 [828, 583]. 4 − 2 [748]. A [435]. [473]. 2 3= 6 [257]. n=0 1=n! [619]. A∗A = B∗B [607]. AB [620]. BA [620]. 2n tan(k) z [160]. } [512]. x [859]. x=(sin x) n 0 [260]. mod5 [982]. C1 [832]. cos(2π/n) [322]. [755]. x = f(x ) [832]. x2 + ym = z2n [7]. d [844]. dy=dx [449]. ex [859]. f(x; y) [469]. x2 + ym = z2n [65]. x5 + ax + b [465]. xn =1 − [235]. Z3 [975]. Z × Z [869]. Rf 1=1=f [852]. Γ [582,R 948]. H [342]. 2 n +1 ax(x−2b) 1 2 ×···× ×···× e dx [854]. cos x dx; [20]. Zm1 Zmr intoZk1 Zks [788]. Zn R−∞ R 0 1 −x2 1 2 [983]. ζ(3) [41]. 0 e dx [20]. 0 sin x dx [20]. k [933, 588]. L1(µ)=L1 (µ) [184]. L4 [21]. Lp loc -adic [619, 149]. -body [28]. -dimensional [256]. Lp(µ) ⊆ Lq(ν) [145]. l [579, 57]. l 2 p [844]. -ellipses [907]. -function [512, 582]. [414]. ln k [831]. M [524]. M [524]. 11 23 -Game [871, 19]. -generator [335]. -gons M (Z) [269]. n! [96]. N n [530]. -norm [414]. -polygons [342]. [28, 871, 963, 592, 861, 247, 429, 530, 907]. 1 2 -queens [429]. -smooth [828]. -solutions analytic [127]. analytical [157]. Andrew [832]. -sphere [583]. -Tuples [963]. [1115, 572, 698]. Andrews [39, 39]. Angle -volume [588]. [918, 559, 377]. anniversary [280, 448]. annulus [181]. Answer [1003]. Answers 101 [462, 408, 442]. 103xx [367]. 168pp [504]. Anthropomorphic [113]. Aperiodic [792]. 17th [644]. 1832 [792]. 1860s [351]. [301]. Apery [1108]. Appearance [1107]. Application [765, 784, 452, 182, 151, 333]. 500th [448]. 51030a [442]. 53 [495]. Applications [868, 649, 714, 535]. appreciation [381]. Approach 8 [495]. 83g [70]. 85m [655]. 87e [68]. 89 [721, 977, 281, 450, 143, 601, 288, 192, 150]. [70]. 89c [67]. 89f [65]. 89g [66]. 89m [69]. Approximate [701]. approximately [189]. Approximation 90e [39]. 93 [68]. 93a [739]. 93c [382]. 93f [479, 980, 342, 117, 717, 155, 96, 890, 229]. [441]. 94 [67]. 95 [66, 65, 69]. 95c [462]. 95i approximations [896, 375]. April [673]. [623]. 95k [442]. 96 [39]. 99 [441, 739, 382]. Apropos [441]. Arbitrary [981, 453, 344, 81]. Archer = [404]. [317, 329, 337, 343, 351, 359]. Archimedes [796]. Archimedian [419]. Arcs [121]. Abe [655, 898, 718, 742, 516, 536]. Abel Area [1097, 323, 573, 304]. Areas [518]. Abelian [336, 133, 645, 488]. [719, 520, 634, 114, 342, 304]. argument abstract [605, 516, 536]. accumulation [603]. Arguments [736]. arising [498]. [613]. acting [372]. Actions [774]. Aristotle [829]. Arithmetic [1078, 256, actuarial [617]. add [540]. Addendum 622, 507, 405, 543, 533, 54, 674, 506]. [65, 495, 446]. Adding [493, 33]. Addition arithmetic-geometric [543, 533]. [983, 1113]. Additive [1023]. adic arithmetic-mean [405]. Arrangements [619, 149]. Advanced [8, 86, 107, 369, 368]. [974, 451]. Arthur [209]. aspect [488]. aerodynamic [902]. African [1084]. After aspects [215, 668]. Assertions [825]. [836]. aftermath [901]. again [334, 30]. assistance [718]. associated [114, 480]. Age [565]. aid [612]. aided [716]. Aitken Association [745]. Astronomy [758]. [97]. Alan [877, 517]. Alexander [354]. asymptotic [8, 86]. atonal [565]. Algebra [835, 496, 898, 711, 27, 173, 156, attracting [686]. Augustus [976]. 193, 288, 78, 649, 353, 516, 536, 969, 969]. authorship [837]. automata [569, 24, 19]. Algebraic [133, 655, 397]. Algebras automorphisms [315, 523]. avatars [711]. [775, 98, 216]. algorithm average [540, 304]. Avoiding [505, 993]. [685, 258, 26, 489, 30]. Algorithms Award [379, 209, 572, 770, 290, 656, 17, 899]. [736, 785, 479]. Alice [770]. Almost Awards [1028]. Away [731]. axiomatic [799, 665]. Also [565, 392]. alternating [281, 480]. Axiomatization [1010, 1068]. [197]. alternative [36, 186]. AM [1112]. axioms [900, 645]. axis [35, 344]. amazing [662, 584]. Ambiguous [64]. Amer [66, 67, 65, 441, 739, 462, 495, 382, 68, B [462, 382, 836, 70, 319]. B^ocher [207]. 69, 408, 442, 39, 70]. American [291]. Babylonian [258]. Back among [126]. Amusing [755, 364]. analogy [939, 971, 998, 1029, 1057, 1086, 1118, 801]. [193]. Analysis [1115, 810, 771, 876, 820, Baire [168]. ball [596]. balloon [461]. 767, 619, 183, 240, 847, 834, 848, 655]. ballot [165]. balls [651]. Banach [685, 697]. 3 Banchoff [442]. Barbeau [836]. Baroque C [1115, 462, 382, 969]. Cake [565]. Barrow [1116]. Barrow-Green [877, 471, 685]. Cake-Cutting [877]. Cakes [1116]. base [137]. baseball [643]. based [778]. Calculating [476, 255, 611]. [90]. Basel [623]. Bases Calculus [762, 727, 1002, 1060, 726, 724, [858, 1023, 638, 841]. basis [578]. Baxter 848, 733, 1033, 883, 252, 689, 714, 436, 457, [39]. be [641, 228, 888, 394, 752]. 649, 672, 671, 392]. Calinger [687]. Cam Beauzamy [455]. became [417]. Beckman [375]. cameras [839]. Cameron [969]. [730]. Beckman-Quarles [730]. campanological [906]. Can [752, 619, 394]. Beeblebrox [739, 231]. beginners [371]. cannot [641]. canonical [594]. Cantor behaviour [157]. Behind [878, 437]. Berlin [868, 138, 447, 430, 853, 942, 911]. [337]. Bernoulli [276, 154, 31, 460]. Cantor-type [911]. Cantwell [850]. Bernstein [980]. Bessel [205]. best [187]. Carath´eodory [400, 115]. cards [77]. Care Beta [1107]. Betting [867]. between [994]. Careers [698]. Carlyle [119]. [590, 1081, 362, 559, 620, 430, 82, 661, 40, 503]. Carries [662]. Cartwright [640]. Carus Beverly [850]. Beyond [775]. Bicycle [901]. Case [976, 642, 240, 669, 529]. cases [794]. Bieberbach [908, 650]. big [298]. Bill [157]. casino [470]. Casti [888]. cat [251]. [673]. Billiards [244, 714]. Binary Catalan [1094, 614, 748]. catches [643]. [933, 174, 10, 14, 278, 511, 239]. Binet [905]. Categories [757]. catenoid [90]. Cattle Binomial [796]. Cauchy [73, 718, 136, 150, 562]. [964, 564, 79, 8, 11, 86, 15, 254, 548]. Cauchy-Bunyakowski-Schwarz [73]. bipartite [419, 661]. Birkh¨auser [792, 623]. Cayley [98, 870, 204, 169, 983]. ceiling [77]. birth [898, 648]. Birthdates [746]. celebration [280]. Celestial [708, 648]. birthday [61]. bisection [4, 67]. bisector cellular [569, 19]. Center [1083, 990]. [377]. Bisectors [338]. bitangent [18]. centers [692]. central [517]. century Blatter [1115]. Block [1095]. Blows [1090]. [436, 457]. Certain [818, 198, 742, 81]. Body [1116, 28]. Bombieri [455]. Bonnet chain [403]. challenge [110]. champagne [606]. Book [1115, 996, 744, 995, 937, 1116, [644]. Chan [1115]. Change 1055, 1026, 1084, 936, 968, 969, 835]. [1002, 973, 844]. Chaos [1034, 424, 942, 232, Boolean [98, 216]. Bored [700]. Borel 509, 219, 546, 502, 625, 690, 404]. Chaotic [127]. Borromean [144, 350]. Borsuk [741]. [332, 132, 301, 157]. character [58]. Boundary [876]. Bounded [1002, 218]. Characteristic [919, 1091, 574]. bounds [392]. Box [180, 1115]. Box-spline Characteristics [864]. Characterization [180]. boxes [475]. brachistochrone [465, 138, 133, 77, 303, 168, 22]. [501, 586]. Brain [1026, 231, 739]. Characterizations [932, 413]. Brainteasers [836]. Brams [877]. Characterizing [681]. Charles branches [107, 369, 368]. Branching [174]. [1115, 379, 290, 656, 572, 770, 899, 612]. Bredon [781]. breezes [526]. Bricklayer Charting [583]. Chatters [969]. [773]. Bricklaying [302]. bridges [890]. Chebychev [502, 341]. Chebyshev Brouwer [741]. Bruce [1026]. bubbles [960, 191]. chemistry [173]. Chernyak [402]. Buffon [446, 422, 383]. Building [836]. Chessboard [866, 482, 591]. Chicken [669]. Bull [765]. Bunyakowski [73]. [836]. Choice [725]. Christian [1115]. Burnside [194, 843]. bursts [132]. Burtin Christmas [166]. Chu [455]. Chui [1115]. [917]. Butterfly [222, 857]. Circle [799, 390, 109, 199, 22, 520, 355]. Circles [1081, 688, 119, 621, 144, 360, 153]. 4 circulants [216]. circular [406, 442]. Conjecture [782, 816, 277, 567, 908, 481, 22, Circumscribed [153]. Clarke [802]. class 666, 614, 319, 584, 673]. conjugacies [891]. [499, 467, 134]. Classes Conjugacy [803, 514]. Connected [864, 803, 493, 691, 141, 514]. Classical [929, 659, 1077, 56]. Connections [240]. [565, 848, 847]. classification [213]. consecutive [411]. Constance [887]. classifications [364]. Clinton [673]. Constant Closed [946]. Closed-Form [946]. Cluster [951, 1108, 948, 454, 321, 283, 297, 521]. [894]. Codes [746]. Coefficient constants [1120]. Constrained [951, 564, 8, 11, 86, 15]. coefficients [1050, 477, 346, 553]. Construction [79, 206, 21, 179, 548]. coins [282]. Colaw [1066, 217, 741, 532]. constructions [119]. [291]. collaboration [640]. Color Constructivism [937]. contained [506]. [673, 1055, 515]. colorful [666]. Coloring containing [464]. continental [689]. [68, 3, 1065, 162, 538]. COMAP [768]. Continued [219, 502, 950, 111, 83, 124, 897]. combinations [506]. combinatorial [227]. continuity [196, 681]. Continuous combinatorics [662, 570]. come [385]. [56, 151, 980, 454, 201, 686]. contour Comment [462, 408, 39, 663]. [854, 171]. contraction [151]. Control Commentary [672]. Common [1034, 1031, 1061]. Controllability [1031]. [1048, 541, 695, 122, 529]. Commutative converge [619]. Convergence [969, 43]. Commuting [1048, 1095]. [186, 1004, 321, 178, 413, 263]. Commuting-Block [1095]. compact [133]. Convergence-preserving [186]. compactness [221]. Competition Convergent [935]. Converse [728, 856, 1064]. competitive [456]. [872, 750, 949, 599, 148, 562].