Journal: The American Mathematical Monthly

Volume 111, Issue 9

741 -- 748Colin Adams, Thomas Fleming, Christopher Koegel. Brunnian Clothes on the Runway: Not for the Bashful
749 -- 760Ehud Friedgut. Hypergraphs, Entropy, and Inequalities
761 -- 778Skip Garibaldi. The Characteristic Polynomial and Determinant Are Not Ad Hoc Constructions
779 -- 790Marc Frantz. How Conics Govern Möbius Transformations
791 -- 800Warren P. Johnson. 1 Summation
801 -- 806Jan van Mill. A Note on the Effros Theorem
806 -- 811Song Heng Chan. An Elementary Proof of Jacobi's Six Squares Theorem
811 -- 813Nils R. Barth. Computing Cavalieri's Quadrature Formula by a Symmetry of the n-Cube
813 -- 816Deniz Kazanci, Andrew Vince. A Property of Normal Tilings
817 -- 821Andrzej Nowojewski, Jakub Kallas, Andrzej Dragan, Abe Shenitzer, Stefan Mykytiuk, John Stillwell. On the Appearance of Moving Bodies
822 -- 0Marius Ghergu. Problem 11110
822 -- 0Yongge Tian. Problem 11112
822 -- 0Isaac Sofair. Problem 11113
822 -- 0Pál Péter Dályay. Problem 11111
823 -- 824Ye Zhong Hao, Wu Wei Chao, J. Schaer. Gossard Perspector: 10980
823 -- 0Jack Clark. Problem 11115
823 -- 0Benne de Weger. Problem 11114
823 -- 0Darko Veljan. Problem 11116
824 -- 825Roland Bacher, Julio Kuplinsky, Richard Stong. A Family of Polynomials: 10989
825 -- 826Rick Mabry, Bernardo M. Ábrego. The Envelope, Please: 10990
826 -- 827Raymond Mortini, Saïd Amghibech. A Nonholomorphic Map of the Disk: 10991
827 -- 829David Lubell, Chris Hill, Albert Nijenhuis. Equal Sums of Reciprocal Products: 10992
829 -- 0David Savitt, Chris Hill. Recognizing n-Divergent Sequences: 10994

Volume 111, Issue 8

645 -- 654Steven R. Finch, John E. Wetzel. Lost in a Forest
655 -- 667Olga Holtz, Volker Mehrmann, Hans Schneider. Potter, Wielandt, and Drazin on the Matrix Equation AB = ωBA: New Answers to Old Questions
668 -- 679Joel Anderson. Iterated Exponentials
680 -- 690Leonard F. Klosinski, Gerald L. Alexanderson, Loren C. Larson. The Sixty-Fourth William Lowell Putnam Mathematical Competition
691 -- 699Joseph A. Gallian. The First Sixty-Six Years of the Putnam Competition
700 -- 704Kenneth Glass, Chi-Keung Ng. A Simple Proof of the Hook Length Formula
704 -- 709Robert L. Devaney, Kresimir Josic, Mónica Moreno Rocha, Pradipta Seal, Yakov Shapiro, Alex T. Frumosu. Playing Catch-up with Iterated Exponentials
709 -- 712Daniel A. Klain. An Intuitive Derivation of Heron's Formula
713 -- 715Lars Olsen. A New Proof of Darboux's Theorem
716 -- 723Michael Francis Atiyah. Bakerian Lecture, 1975: Global Geometry
724 -- 0Vicentiu Radulescu. Problem 11104
724 -- 0Gregory Galperin, Hillel Gauchman. Problem 11103
724 -- 725Juan-Bosco Romero Marquez, Rick Luttmann, Miguel de Guzman, G. Donald Chakerian. Problem 11105
725 -- 0Emeric Deutsch. Problem 11108
725 -- 0David Callan. Problem 11106
725 -- 0Matthias Beck, Jesus DeLoera, Mike Develin, Julian Pfeifle. Problem 11085
725 -- 0Michel Émery. Problem 11107
725 -- 0Solomon W. Golomb. Problem 11109
725 -- 726Wu Wei Chao, Doyle Henderson. Continuous Additive Functions: 10854
726 -- 0John Melville, Jason Heller, Stony Brook. A Classic Pointed Triangle Inequality: 10965
726 -- 728Bogdan Suceava, C. G. Petalas, T. P. Vidalis. Orthocenter Projection: 10983
728 -- 0Yongge Tian, Carl Dean Meyer. Injective Properties of Complex Matrices: 10984
729 -- 731Wu Wei Chao, Doyle Henderson, John H. Lindsey II. An Iterative Sequence: 10988
729 -- 0N. Prasanna Kumar, B. G. Shenoy, J. A. Grzesik. Polynomial Nullstellen Avoidance: 10987

Volume 111, Issue 7

549 -- 558Joan R. Leitzel. The 2003 James R. C. Leitzel Lecture: Mathematics' Response to Issues in Higher Education
559 -- 571Reinhard Diestel. On Infinite Cycles in Graphs: Or How to Make Graph Homology Interesting
572 -- 585Torsten Ekedahl, Dan Laksov. Two "Generic" Proofs of the Spectral Mapping Theorem
586 -- 591Federico Ardila. The Number of Halving Circles
592 -- 595Darko Veljan. Geometry and Convexity of cos √x
595 -- 599Bau-Sen Du. A Simple Proof of Sharkovsky's Theorem
599 -- 603Tyler Jarvis, James Tanton. The Hairy Ball Theorem via Sperner's Lemma
603 -- 607Kenzi Satô. Some Subgroups of Isomorphic to the Free Product
608 -- 624Vladimir I. Arnold. From Hilbert's Superposition Problem to Dynamical Systems
625 -- 0Kevin Ford. Problem 11097
625 -- 626Matthias Beck, Richard Ehrenborg, Thomas Zaslavsky. Problem 11099
625 -- 0Saïd Amghibech. Problem 11096
625 -- 0Christopher J. Hillar, Darren L. Rhea. Problem 11098
626 -- 0Calin Popescu. Problem 11100
626 -- 627Razvan A. Satnoianu, John G. Heuver. Comparison of Some Squared Distances: 10970
626 -- 0Leroy Quet. Problem 11102
626 -- 0Earl F. Skelton. Problem 11101
627 -- 628Leslie D. Servi, Richard Stong. A Disguised Half-Angle Iteration: 10973
628 -- 629Emeric Deutsch, Julio Kuplinsky, Tina Garrett. Enumeration of Permutations by Disorder: 10975
628 -- 0Syrous Marivani, Bill Mixon. Digital Roots of Fibonacci Numbers: 10974
629 -- 630Jean-Pierre Grivaux, Tsehaye Andebrhan. Nonnegative Polynomials: 10978
630 -- 0Donald P. Minassian, K. P. Hart. Simple Discontinuities: 10979
631 -- 632Yuming Chen, Olaf Krafft, Martin Schaefer. Variation of a Ukrainian Olympiad Problem: 10982
631 -- 0Nicholas Singer. A Divisibility Property of a Recurrence: 10981
632 -- 0Herbert S. Wilf, J. A. Grzesik. An Arc Cotangent Series: 10986

Volume 111, Issue 6

465 -- 486David E. Zitarelli. The Origin and Early Impact of the Moore Method
487 -- 495Henry Cohn. Projective Geometry over and the Gaussian Binomial Coefficients
496 -- 508Tom M. Apostol, Mamikon A. Mnatsakanian. A Fresh Look at the Method of Archimedes
509 -- 517Casey Mann. Heesch's Tiling Problem
518 -- 520Gilbert Helmberg. A Construction Concerning
520 -- 525Kehe Zhu. Translating Inequalities between Hardy and Bergman Spaces
525 -- 526Xiaoshen Wang. A Simple Proof of Descartes's Rule of Signs
527 -- 528Sam B. Nadler Jr.. 3 Has No Square Root
528 -- 530Steven H. Weintraub. An Interesting Recursion
531 -- 533Gregory P. Dresden. On the Middle Coefficient of a Cyclotomic Polynomial
534 -- 0Sun Soo Kim. Problem 11089
534 -- 0Florian Luca. Problem 11090
534 -- 535Arturo Magidin. Problem 11092
534 -- 0David Callan. Problem 11091
535 -- 0Richard Bagby. Problem 11093
535 -- 0Vasile Mihai. Problem 11095
535 -- 0Michel Bataille. Problem 11094
535 -- 536H. A. ShahAli, Hamza Ahmad. Graceful Permutations Revisited: 10964
536 -- 0Jean-Marie De Koninck, Stefan Gubo. When the Totient Is the Product of the Squared Prime Divisors: 10966
536 -- 539Richard Stanley, O. P. Lossers. Comparing Odd Parts in Conjugate Partitions: 10969
539 -- 540C. P. Rupert, Richard Stong. The First Fibonacci Number Divisible by a Prime p: 10971
540 -- 541Tim Ferguson, M. D. Frederick, Lenny Jones, Stephen M. Gagola Jr.. The LCM of the Parts of a Partition: 10972
541 -- 0Emeric Deutsch, Julio Kuplinsky, Tina Garrett. Enumeration of Permutations by Disorder: 10975

Volume 111, Issue 5

377 -- 393Donald G. Saari. Geometry of Chaotic and Stable Discussions
394 -- 410Maya Mohsin Ahmed. How Many Squares Are There, Mr. Franklin?: Constructing and Enumerating Franklin Squares
411 -- 424Barbara S. Edwards, Michael B. Ward. Surprises from Mathematics Education Research: Student (Mis)use of Mathematical Definitions
425 -- 429Jeroen Spandaw. Dissecting Cuboids into Cuboids
430 -- 431Hirofumi Tsumura. An Elementary Proof of Euler's Formula for ζ(2m)
432 -- 434Grzegorz Rzadkowski. A Short Proof of the Explicit Formula for Bernoulli Numbers
435 -- 437Raymond T. Boute. Moving a Rectangle around a Corner: Geometrically
437 -- 439Christoph Leuenberger. An Old Friend Revisited
440 -- 0Wu Wei Chao. Problem 11082
440 -- 0William P. Wardlaw. Problem 11083
440 -- 0H. A. ShahAli. Problem 11084
440 -- 441Stephen C. Locke. Problem 11086
440 -- 0Matthias Beck, Jesus DeLoera, Mike Develin, Julian Pfeifle. Problem 11085
441 -- 0Michael Golomb. Problem 11087
441 -- 0Richard Holzsager. Problem 11088
441 -- 443Paul Deiermann, Cape Girardeau, Joseph Chalmers, George Lamb. An Application of the Mellin Transform: 10963
441 -- 0Robin Chapman, Nicholas Singer. Eigenvalues of a Bidiagonal Matrix: 10958
443 -- 444Stephen C. Locke, Philip D. Straffin. The Game of Pathos: 10968
443 -- 0Douglas B. West, Csaba Megyeri. Adjacency Matrices That Are Incidence Matrices: 10967
444 -- 445Vitaly I. Voloshin, José Heber Nieto, Edward R. Scheinerman, Robin Chapman. Plucking Stirling Numbers from Trees: 10976
445 -- 447Carl Axness, Bert Kerr, Jean-François Chamayou. Incomplete Gamma and Error Functions: 10977
447 -- 0Donald E. Knuth, et al.. Some Bernstein Polynomials: 10985

Volume 111, Issue 4

281 -- 298Roe Goodman. Alice through Looking Glass after Looking Glass: The Mathematics of Mirrors and Kaleidoscopes
299 -- 307Geoffrey R. Grimmett. Stochastic Apportionment
308 -- 321Pirooz Mohazzabi, Thomas A. Fournelle. Evaluation of Ill-Behaved Power Series
322 -- 329Curtis D. Bennett, Andrew M. W. Glass, Gábor J. Székely. Fermat's Last Theorem for Rational Exponents
330 -- 339Bruce C. Berndt, C. A. Reddi. Two Exams Taken by Ramanujan in India
340 -- 347Asuman Aksoy, Mario Martelli. The Wave Equation, Mixed Partial Derivatives, and Fubini's Theorem
347 -- 351Dov Samet, Iddo Samet, David Schmeidler. One Observation behind Two-Envelope Puzzles
351 -- 354E. Kowalski. On the "Reducibility" of Arctangents of Integers
355 -- 356Paul Monsky. Kepler's First Law: A Remark
356 -- 357Hervé Perdry. An Elementary Proof of Krull's Intersection Theorem
357 -- 360Jacob Mostovoy. Lattices in ℂ and Finite Subsets of a Circle
361 -- 0Joel Zinn. Problem 11076
361 -- 0Gheorge Costovici. Problem 11077
361 -- 0Donald E. Knuth. Problem 11078
361 -- 0Götz Trenkler. Problem 11075
361 -- 362Brian Cook, James Whitenton. Problem 11079
362 -- 363Marc Chamberland, et al.. A Sequence of Composite Numbers: 10947
362 -- 0Stephen Morse. Problem 11081
362 -- 0Razvan A. Satnoianu. Problem 11080
363 -- 364Sung-Soo Kim, Li Zhou. A Sticky Problem: 10951
364 -- 365John McCarthy, Lee Badger, Marc Williams. The Tower of Stanford: 10956
365 -- 366Oliver Eng, Li Zhou. Sliding Dominoes: 10960
366 -- 367M. L. Glosser, J. A. Grzesik. A Nontrivial Zero.: 11020
367 -- 368Vicentiu Radulescu, Richard Stong. A Limit Problem: 11024

Volume 111, Issue 3

185 -- 188Robert E. Megginson. Yueh-Gin Gung and Dr. Charles Y. Hu Award to T. Christine Stevens for Distinguished Service to Mathematics
189 -- 197Alan Edelman, Gilbert Strang. Pascal Matrices
198 -- 215William Ingram, William S. Mahavier. Interesting Dynamics and Inverse Limits in a Family of One-Dimensional Maps
216 -- 229Jaume Paradís, Josep Pla, Pelegrí Viader. Fermat and the Quadrature of the Folium of Descartes
230 -- 237Detlef Gronau. The Spiral of Theodorus
238 -- 242Leslie Blackwell Galen. Putting Fractions in Their Place
243 -- 245Tsuneo Ishikawa, Nobuhiko Ishida, Yoshito Yukimoto. On Prime Factors of
245 -- 251Lourens M. Pretorius, Konrad J. Swanepoel. An Algorithmic Proof of the Motzkin-Rabin Theorem on Monochrome Lines
251 -- 255Martin Engman. A Note on Isometric Embeddings of Surfaces of Revolution
256 -- 258T. Y. Lam. On Subgroups of Prime Index
259 -- 0Péter Ivády. Problem 11069
259 -- 0George Lamb. Problem 11072
259 -- 0Herbert S. Wilf. Problem 11068
259 -- 0Roberto Tauraso. Problem 11070
259 -- 0Emeric Deutsch. Problem 11071
260 -- 0Dimiter Skordev. Problem 11074
260 -- 0Vicentiu Radulescu. Problem 11073
260 -- 261Roland Bacher, Robin Chapman, Reiner Martin. A Determinant of Indeterminates: 10859
261 -- 262Jürgen Groß, Götz Trenkler, Xiaoshen Wang. Product and Sum of Projections: 10917
262 -- 263Christian Bey, Garth Isaak. Maximum Antichains of Sets of Distinct Sizes: 10932
263 -- 0Walther Janous, J. P. V. Abad. Maximum Antichains in the Divisor Lattice: 10942
264 -- 265Jeffrey C. Lagarias, Walther Janous. A Generous Bound for Divisor Sums: 10949
264 -- 0Calin Popescu, et al.. A Divisibility Result: 10943
265 -- 266David Callan, M. A. Prasad. Counting a Set of Rooted Trees: 10952
266 -- 0Brian Conrad, Gheorge Simion, Patrick Corn. Pi and Rationals: 10961

Volume 111, Issue 2

89 -- 117Susan Landau. Polynomials in the Nation's Service: Using Algebra to Design the Advanced Encryption Standard
118 -- 136Tom M. Apostol, Mamikon A. Mnatsakanian. Isoperimetric and Isoparametric Problems
137 -- 149Charles Radin. Orbits of Orbs: Sphere Packing Meets Penrose Tilings
150 -- 152Fabrizio Zanello. When Are There Infinitely Many Irreducible Elements in a Principal Ideal Domain?
152 -- 157David Avis, Bohdan Kaluzny. Solving Inequalities and Proving Farkas's Lemma Made Easy
157 -- 159Suk-Geun Hwang. Cauchy's Interlace Theorem for Eigenvalues of Hermitian Matrices
159 -- 164Michael Schmitt. New Designs for the Descartes Rule of Signs
165 -- 0Slavko Simic. Problem 11063
165 -- 0Wu Wei Chao. Problem 11061
165 -- 0Kenneth Schilling. Problem 11062
165 -- 0John E. Wetzel. Problem 11064
166 -- 0Sebastian M. Cioaba. Problem 11066
166 -- 0. Correction: 11034
166 -- 0Douglas B. Tyler. Problem 11065
166 -- 0George Lamb. Problem 11067
166 -- 167Donald E. Knuth, Robin Chapman. Fibonacci in Complex Camouflage: 10858
167 -- 168Jeffrey C. Lagarias, Eric M. Rains, Neil J. A. Sloane, Nasha Komanda. The EKG Sequence: 10927
168 -- 169Paul Schweitzer, Xiaoshen Wang, et al.. Too Much Commuting: 10930
169 -- 170Robert DeSario, LeRoy Wenstrom. Invertible Shuffles: 10931
170 -- 171Paul Lescott, Tom Jager. A Group Determined by Relations?: 10933
171 -- 172David G. Wagner, Patrick Corn, Li Zhou. A Cyclotomic Sum: 10937
172 -- 0Victor Alexandrov, Knut Dale. Using Stokes's Theorem on the Sphere: 10957

Volume 111, Issue 10

841 -- 852Judith V. Grabiner. Newton, Maclaurin, and the Authority of Mathematics
853 -- 863Tom M. Apostol, Mamikon A. Mnatsakanian. Figures Circumscribing Circles
864 -- 889Hartmut Logemann, Eugene P. Ryan. Asymptotic Behaviour of Nonlinear Systems
890 -- 899Stephanie Edwards, Russell A. Gordon. Extreme Curvature of Polynomials
900 -- 903Heinrich v. Weizsäcker. Can One Drop in 's Subsequence Theorem?
903 -- 905G. Donald Chakerian, Murray S. Klamkin. A Three-Point Characterization of Central Symmetry
905 -- 909Iosif Pinelis. L'Hospital Rules for Monotonicity and the Wilker-Anglesio Inequality
909 -- 913Noriaki Kimura, Kenneth S. Williams. Infinitely Many Insolvable Diophantine Equations
913 -- 914Jón R. Stefánsson. Forward Shifts and Backward Shifts in a Rearrangement of a Conditionally Convergent Series
915 -- 0Bob Berk, Larry Shepp. Problem 11120
915 -- 0John Robertson. Problem 11119
915 -- 0Vesselin Dimitrov. Problem 11118
915 -- 0Michael Nyblom. Problem 11117
916 -- 917Giorgio Goldoni, Allan Berele. An Excenteric Iteration: 10993
916 -- 0Victor Pambuccian. Problem 11122
916 -- 0Arturas Dubickas. Problem 11123
916 -- 0H. A. ShahAli. Problem 11121
917 -- 918Ed T. Prothro, Chris Hill. Prime Divisors of Fermat Numbers: 10997
917 -- 0Donato Trigiante, Albert Stadler. Where Are the Zeros?: 10995
918 -- 0Roberto Tauraso, Jiri Lebl. Distance to the Boundary: 10998
918 -- 920George Lamb, Cornelius Stallmann, Gerald Thompson, Zafar Ahmed, O. P. Lossers. An Integral Three Ways: 11000
920 -- 0Rick Mabry, Jody M. Lockhart. Powered Terms in a Series: 11001
920 -- 921Y.-F. S. Pétermann, C. T. Stretch, Jamie Simpson. A Problem That Bears Repeating: 11002
921 -- 922Stephen B. Gray, Clayton W. Dodge. The Orthocenter and Circumcenter Are Isogonal Conjugate Points: 11003
922 -- 0. Errata for 2004: 11089
922 -- 0. Errata for 2004: A Group Determined by Relations?: 10933
922 -- 0. Errata for 2004: An Iterative Sequence: 10988
922 -- 0. Errata for 2004: Fibonacci in Complex Camouflage: 10858
922 -- 0. Errata for 2004: Some Bernstein Polynomials: 10985
927 -- 929Bruce P. Palka. Editor's Endnotes
930 -- 937. Volume Information

Volume 111, Issue 1

1 -- 12Ivor Grattan-Guinness. History or Heritage? An Important Distinction in Mathematics and for Mathematics Education
13 -- 21Michael A. Bennett, Bruce Reznick. mx: A Number-Theoretic Excursion
22 -- 31Richard Jerrard, John E. Wetzel. Prince Rupert's Rectangles
32 -- 38Steven G. Krantz, Jeffery D. McNeal. Creating More Convergent Series
39 -- 47Burkard Polster. Variations on a Theme in Paper Folding
48 -- 50Sey Y. Kim. An Elementary Proof of the Quadratic Reciprocity Law
50 -- 52Götz Trenkler. Matrices Which Take a Given Vector into a Given Vector: Revisited
52 -- 54Thomas J. Osler. Finding ζ(2p) from a Product of Sines
54 -- 58S. H. Kulkarni. A Very Simple and Elementary Proof of a Theorem of Ingelstam
58 -- 61William A. Beyer, Andrew Zardecki. The Early History of the Ham Sandwich Theorem
61 -- 63Alexander R. Perlis. Roots Appear in Quanta
64 -- 0Razvan A. Satnoianu. Problem 11055
64 -- 0Shahin Amrahov. Problem 11054
64 -- 65Mark Bowron. Problem 11059
64 -- 0John H. Lindsey II. Problem 11056
64 -- 0. : Problem 11057
64 -- 0Óscar Ciaurri. Problem 11058
65 -- 0Matthew Coppenbarger. Problem 11060
65 -- 66Peter Walker, Tom Zerger. The Centroid-Circumcenter Distance: 10948
66 -- 67Leroy Quet, et al.. Functionally Related Convergents: 10953
67 -- 69Razvan A. Satnoianu, Isaac Sofair. More Triangle Inequalities: 10955
69 -- 71George Lamb, Stephen J. Herschkorn. Hypergeometric and Other Representations: 10959
71 -- 0Mihály Bencze, Li Zhou. Cosine Inequalities: 10962
82 -- 84Arnold Ostebee. Telegraphic Reviews