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The American Mathematical Monthly, Volume 111
Volume 111, Number 1, January 2004
- Ivor Grattan-Guinness:

History or Heritage? An Important Distinction in Mathematics and for Mathematics Education. 1-12 - Michael A. Bennett, Bruce Reznick:

Positive Rational Solutions to xy = ymx: A Number-Theoretic Excursion. 13-21 - Richard Jerrard, John E. Wetzel:

Prince Rupert's Rectangles. 22-31 - Steven G. Krantz, Jeffery D. McNeal:

Creating More Convergent Series. 32-38 - Burkard Polster:

Variations on a Theme in Paper Folding. 39-47
- Sey Y. Kim:

An Elementary Proof of the Quadratic Reciprocity Law. 48-50 - Götz Trenkler:

Matrices Which Take a Given Vector into a Given Vector: Revisited. 50-52 - Thomas J. Osler:

Finding ζ(2p) from a Product of Sines. 52-54 - S. H. Kulkarni:

A Very Simple and Elementary Proof of a Theorem of Ingelstam. 54-58 - William A. Beyer, Andrew Zardecki:

The Early History of the Ham Sandwich Theorem. 58-61 - Alexander R. Perlis:

Roots Appear in Quanta. 61-63
- Shahin Amrahov:

Problem 11054. 64 - Razvan A. Satnoianu:

Problem 11055. 64 - John H. Lindsey II:

Problem 11056. 64 - : Problem 11057. 64

- Óscar Ciaurri:

Problem 11058. 64 - Mark Bowron:

Problem 11059. 64-65 - Matthew E. Coppenbarger:

Problem 11060. 65
- Peter Walker, Tom Zerger:

The Centroid-Circumcenter Distance: 10948. 65-66 - Leroy Quet, et al.:

Functionally Related Convergents: 10953. 66-67 - Razvan A. Satnoianu, Isaac Sofair:

More Triangle Inequalities: 10955. 67-69 - George Lamb, Stephen J. Herschkorn:

Hypergeometric and Other Representations: 10959. 69-71 - Mihály Bencze, Li Zhou:

Cosine Inequalities: 10962. 71
- Arnold Ostebee:

Telegraphic Reviews. 82-84
Volume 111, Number 2, February 2004
- Susan Landau:

Polynomials in the Nation's Service: Using Algebra to Design the Advanced Encryption Standard. 89-117 - Tom M. Apostol, Mamikon A. Mnatsakanian:

Isoperimetric and Isoparametric Problems. 118-136 - Charles Radin:

Orbits of Orbs: Sphere Packing Meets Penrose Tilings. 137-149
- Fabrizio Zanello:

When Are There Infinitely Many Irreducible Elements in a Principal Ideal Domain? 150-152 - David Avis, Bohdan Kaluzny:

Solving Inequalities and Proving Farkas's Lemma Made Easy. 152-157 - Suk-Geun Hwang:

Cauchy's Interlace Theorem for Eigenvalues of Hermitian Matrices. 157-159 - Michael Schmitt:

New Designs for the Descartes Rule of Signs. 159-164
- Wu Wei Chao:

Problem 11061. 165 - Kenneth Schilling:

Problem 11062. 165 - Slavko Simic:

Problem 11063. 165 - John E. Wetzel:

Problem 11064. 165 - Douglas B. Tyler:

Problem 11065. 166 - Sebastian M. Cioaba:

Problem 11066. 166 - George Lamb:

Problem 11067. 166 - Correction: 11034. 166

- Donald E. Knuth, Robin Chapman:

Fibonacci in Complex Camouflage: 10858. 166-167 - Jeffrey C. Lagarias, Eric M. Rains, Neil J. A. Sloane, Nasha Komanda:

The EKG Sequence: 10927. 167-168 - Paul Schweitzer, Xiaoshen Wang, et al.:

Too Much Commuting: 10930. 168-169 - Robert DeSario, LeRoy Wenstrom:

Invertible Shuffles: 10931. 169-170 - Paul Lescott, Tom Jager:

A Group Determined by Relations?: 10933. 170-171 - David G. Wagner, Patrick Corn, Li Zhou:

A Cyclotomic Sum: 10937. 171-172 - Victor Alexandrov, Knut Dale:

Using Stokes's Theorem on the Sphere: 10957. 172
Volume 111, Number 3, March 2004
- Robert E. Megginson:

Yueh-Gin Gung and Dr. Charles Y. Hu Award to T. Christine Stevens for Distinguished Service to Mathematics. 185-188 - Alan Edelman, Gilbert Strang:

Pascal Matrices. 189-197 - William Ingram, William S. Mahavier:

Interesting Dynamics and Inverse Limits in a Family of One-Dimensional Maps. 198-215 - Jaume Paradís, Josep Pla, Pelegrí Viader:

Fermat and the Quadrature of the Folium of Descartes. 216-229 - Detlef Gronau:

The Spiral of Theodorus. 230-237 - Leslie Blackwell Galen:

Putting Fractions in Their Place. 238-242
- Tsuneo Ishikawa, Nobuhiko Ishida, Yoshito Yukimoto:

On Prime Factors of. 243-245 - Lourens M. Pretorius, Konrad J. Swanepoel:

An Algorithmic Proof of the Motzkin-Rabin Theorem on Monochrome Lines. 245-251 - Martin Engman:

A Note on Isometric Embeddings of Surfaces of Revolution. 251-255 - T. Y. Lam:

On Subgroups of Prime Index. 256-258
- Herbert S. Wilf:

Problem 11068. 259 - Péter Ivády:

Problem 11069. 259 - Roberto Tauraso:

Problem 11070. 259 - Emeric Deutsch:

Problem 11071. 259 - George Lamb:

Problem 11072. 259 - Vicentiu D. Radulescu:

Problem 11073. 260 - Dimiter Skordev:

Problem 11074. 260
- Roland Bacher, Robin Chapman, Reiner Martin:

A Determinant of Indeterminates: 10859. 260-261 - Jürgen Groß, Götz Trenkler, Xiaoshen Wang:

Product and Sum of Projections: 10917. 261-262 - Christian Bey, Garth Isaak:

Maximum Antichains of Sets of Distinct Sizes: 10932. 262-263 - Walther Janous, J. P. V. Abad:

Maximum Antichains in the Divisor Lattice: 10942. 263 - Calin Popescu, et al.:

A Divisibility Result: 10943. 264 - Jeffrey C. Lagarias, Walther Janous:

A Generous Bound for Divisor Sums: 10949. 264-265 - David Callan, M. A. Prasad:

Counting a Set of Rooted Trees: 10952. 265-266 - Brian Conrad, Gheorge Simion, Patrick Corn:

Pi and Rationals: 10961. 266
Volume 111, Number 4, April 2004
- Roe Goodman:

Alice through Looking Glass after Looking Glass: The Mathematics of Mirrors and Kaleidoscopes. 281-298 - Geoffrey R. Grimmett:

Stochastic Apportionment. 299-307 - Pirooz Mohazzabi, Thomas A. Fournelle:

Evaluation of Ill-Behaved Power Series. 308-321 - Curtis D. Bennett, Andrew M. W. Glass, Gábor J. Székely:

Fermat's Last Theorem for Rational Exponents. 322-329 - Bruce C. Berndt, C. A. Reddi:

Two Exams Taken by Ramanujan in India. 330-339
- Asuman Aksoy, Mario Martelli:

The Wave Equation, Mixed Partial Derivatives, and Fubini's Theorem. 340-347 - Dov Samet, Iddo Samet, David Schmeidler:

One Observation behind Two-Envelope Puzzles. 347-351 - Emmanuel Kowalski:

On the "Reducibility" of Arctangents of Integers. 351-354 - Paul Monsky:

Kepler's First Law: A Remark. 355-356 - Hervé Perdry:

An Elementary Proof of Krull's Intersection Theorem. 356-357 - Jacob Mostovoy:

Lattices in ℂ and Finite Subsets of a Circle. 357-360
- Götz Trenkler:

Problem 11075. 361 - Joel Zinn:

Problem 11076. 361 - Gheorge Costovici:

Problem 11077. 361 - Donald E. Knuth:

Problem 11078. 361 - Brian Cook, James Whitenton:

Problem 11079. 361-362 - Razvan A. Satnoianu:

Problem 11080. 362 - Stephen Morse:

Problem 11081. 362
- Marc Chamberland, et al.:

A Sequence of Composite Numbers: 10947. 362-363 - Sung Soo Kim, Li Zhou:

A Sticky Problem: 10951. 363-364 - John McCarthy, Lee Badger, Marc Williams:

The Tower of Stanford: 10956. 364-365 - Oliver Eng, Li Zhou:

Sliding Dominoes: 10960. 365-366 - M. L. Glosser, Jan A. Grzesik:

A Nontrivial Zero.: 11020. 366-367 - Vicentiu D. Radulescu, Richard Stong:

A Limit Problem: 11024. 367-368
Volume 111, Number 5, May 2004
- Donald G. Saari:

Geometry of Chaotic and Stable Discussions. 377-393 - Maya Mohsin Ahmed:

How Many Squares Are There, Mr. Franklin?: Constructing and Enumerating Franklin Squares. 394-410 - Barbara S. Edwards, Michael B. Ward:

Surprises from Mathematics Education Research: Student (Mis)use of Mathematical Definitions. 411-424
- Jeroen Spandaw:

Dissecting Cuboids into Cuboids. 425-429 - Hirofumi Tsumura:

An Elementary Proof of Euler's Formula for ζ(2m). 430-431 - Grzegorz Rzadkowski:

A Short Proof of the Explicit Formula for Bernoulli Numbers. 432-434 - Raymond T. Boute:

Moving a Rectangle around a Corner: Geometrically. 435-437 - Christoph Leuenberger:

An Old Friend Revisited. 437-439
- Wu Wei Chao:

Problem 11082. 440 - William P. Wardlaw:

Problem 11083. 440 - H. A. ShahAli:

Problem 11084. 440 - Matthias Beck, Jesús A. De Loera, Mike Develin, Julian Pfeifle:

Problem 11085. 440 - Stephen C. Locke:

Problem 11086. 440-441 - Michael Golomb:

Problem 11087. 441 - Richard Holzsager:

Problem 11088. 441
- Robin Chapman, Nicholas Singer:

Eigenvalues of a Bidiagonal Matrix: 10958. 441 - Paul Deiermann, Cape Girardeau, Joseph Chalmers, George Lamb:

An Application of the Mellin Transform: 10963. 441-443 - Douglas B. West, Csaba Megyeri:

Adjacency Matrices That Are Incidence Matrices: 10967. 443 - Stephen C. Locke, Philip D. Straffin:

The Game of Pathos: 10968. 443-444 - Vitaly I. Voloshin, José Heber Nieto, Edward R. Scheinerman, Robin Chapman:

Plucking Stirling Numbers from Trees: 10976. 444-445 - Carl Axness, Bert Kerr, Jean-François Chamayou:

Incomplete Gamma and Error Functions: 10977. 445-447 - Donald E. Knuth, et al.:

Some Bernstein Polynomials: 10985. 447
Volume 111, Number 6, June - July 2004
- David E. Zitarelli:

The Origin and Early Impact of the Moore Method. 465-486 - Henry Cohn:

Projective Geometry over and the Gaussian Binomial Coefficients. 487-495 - Tom M. Apostol, Mamikon A. Mnatsakanian:

A Fresh Look at the Method of Archimedes. 496-508 - Casey Mann:

Heesch's Tiling Problem. 509-517
- Gilbert Helmberg:

A Construction Concerning. 518-520 - Kehe Zhu:

Translating Inequalities between Hardy and Bergman Spaces. 520-525 - Xiaoshen Wang:

A Simple Proof of Descartes's Rule of Signs. 525-526 - Sam B. Nadler Jr.:

Another Proof That R3 Has No Square Root. 527-528 - Steven H. Weintraub:

An Interesting Recursion. 528-530 - Gregory P. Dresden:

On the Middle Coefficient of a Cyclotomic Polynomial. 531-533
- Sun Soo Kim:

Problem 11089. 534 - Florian Luca:

Problem 11090. 534 - David Callan:

Problem 11091. 534 - Arturo Magidin:

Problem 11092. 534-535 - Richard Bagby:

Problem 11093. 535 - Michel Bataille:

Problem 11094. 535 - Vasile Mihai:

Problem 11095. 535
- H. A. ShahAli, Hamza Ahmad:

Graceful Permutations Revisited: 10964. 535-536 - Jean-Marie De Koninck, Stefan Gubo:

When the Totient Is the Product of the Squared Prime Divisors: 10966. 536 - Richard P. Stanley, O. P. Lossers:

Comparing Odd Parts in Conjugate Partitions: 10969. 536-539 - C. P. Rupert, Richard Stong:

The First Fibonacci Number Divisible by a Prime p: 10971. 539-540 - Tim Ferguson, M. D. Frederick, Lenny Jones, Stephen M. Gagola Jr.:

The LCM of the Parts of a Partition: 10972. 540-541 - Emeric Deutsch, Julio Kuplinsky, Tina Garrett:

Enumeration of Permutations by Disorder: 10975. 541
Volume 111, Number 7, August - September 2004
- Joan R. Leitzel:

The 2003 James R. C. Leitzel Lecture: Mathematics' Response to Issues in Higher Education. 549-558 - Reinhard Diestel:

On Infinite Cycles in Graphs: Or How to Make Graph Homology Interesting. 559-571 - Torsten Ekedahl, Dan Laksov:

Two "Generic" Proofs of the Spectral Mapping Theorem. 572-585 - Federico Ardila:

The Number of Halving Circles. 586-591
- Darko Veljan:

Geometry and Convexity of cos √x. 592-595 - Bau-Sen Du:

A Simple Proof of Sharkovsky's Theorem. 595-599 - Tyler Jarvis, James Tanton:

The Hairy Ball Theorem via Sperner's Lemma. 599-603 - Kenzi Satô:

Some Subgroups of Isomorphic to the Free Product. 603-607
- Vladimir I. Arnold:

From Hilbert's Superposition Problem to Dynamical Systems. 608-624
- Saïd Amghibech:

Problem 11096. 625 - Kevin Ford:

Problem 11097. 625 - Christopher J. Hillar, Darren L. Rhea:

Problem 11098. 625 - Matthias Beck, Richard Ehrenborg, Thomas Zaslavsky:

Problem 11099. 625-626 - Calin Popescu:

Problem 11100. 626 - Earl F. Skelton:

Problem 11101. 626 - Leroy Quet:

Problem 11102. 626
- Razvan A. Satnoianu, John G. Heuver:

Comparison of Some Squared Distances: 10970. 626-627 - Leslie D. Servi, Richard Stong:

A Disguised Half-Angle Iteration: 10973. 627-628 - Syrous Marivani, Bill Mixon:

Digital Roots of Fibonacci Numbers: 10974. 628 - Emeric Deutsch, Julio Kuplinsky, Tina Garrett:

Enumeration of Permutations by Disorder: 10975. 628-629 - Jean-Pierre Grivaux, Tsehaye Andebrhan:

Nonnegative Polynomials: 10978. 629-630 - Donald P. Minassian, K. P. Hart:

Simple Discontinuities: 10979. 630 - Nicholas Singer:

A Divisibility Property of a Recurrence: 10981. 631 - Yuming Chen, Olaf Krafft, Martin Schaefer:

Variation of a Ukrainian Olympiad Problem: 10982. 631-632 - Herbert S. Wilf, Jan A. Grzesik:

An Arc Cotangent Series: 10986. 632
Volume 111, Number 8, October 2004
- Steven R. Finch, John E. Wetzel:

Lost in a Forest. 645-654 - Olga Holtz, Volker Mehrmann, Hans Schneider:

Potter, Wielandt, and Drazin on the Matrix Equation AB = ωBA: New Answers to Old Questions. 655-667 - Joel Anderson:

Iterated Exponentials. 668-679 - Leonard F. Klosinski, Gerald L. Alexanderson, Loren C. Larson:

The Sixty-Fourth William Lowell Putnam Mathematical Competition. 680-690 - Joseph A. Gallian:

The First Sixty-Six Years of the Putnam Competition. 691-699
- Kenneth Glass, Chi-Keung Ng:

A Simple Proof of the Hook Length Formula. 700-704 - Robert L. Devaney, Kresimir Josic, Mónica Moreno Rocha, Pradipta Seal, Yakov Shapiro, Alex T. Frumosu:

Playing Catch-up with Iterated Exponentials. 704-709 - Daniel A. Klain:

An Intuitive Derivation of Heron's Formula. 709-712 - Lars Olsen:

A New Proof of Darboux's Theorem. 713-715
- Michael Francis Atiyah:

Bakerian Lecture, 1975: Global Geometry. 716-723
- Gregory Galperin, Hillel Gauchman:

Problem 11103. 724 - Vicentiu D. Radulescu:

Problem 11104. 724 - Juan-Bosco Romero Márquez, Rick Luttmann, Miguel de Guzman, G. Donald Chakerian:

Problem 11105. 724-725 - David Callan:

Problem 11106. 725 - Michel Émery:

Problem 11107. 725 - Emeric Deutsch:

Problem 11108. 725 - Solomon W. Golomb:

Problem 11109. 725 - Matthias Beck, Jesús A. De Loera, Mike Develin, Julian Pfeifle:

Problem 11085. 725
- Wu Wei Chao, Doyle Henderson:

Continuous Additive Functions: 10854. 725-726 - John Melville, Jason Heller:

A Classic Pointed Triangle Inequality: 10965. 726 - Bogdan Suceava, C. G. Petalas, T. P. Vidalis:

Orthocenter Projection: 10983. 726-728 - Yongge Tian, Carl Dean Meyer:

Injective Properties of Complex Matrices: 10984. 728 - N. Prasanna Kumar, B. G. Shenoy, Jan A. Grzesik:

Polynomial Nullstellen Avoidance: 10987. 729 - Wu Wei Chao, Doyle Henderson, John H. Lindsey II:

An Iterative Sequence: 10988. 729-731
Volume 111, Number 9, November 2004
- Colin Adams, Thomas Fleming, Christopher Koegel:

Brunnian Clothes on the Runway: Not for the Bashful. 741-748 - Ehud Friedgut:

Hypergraphs, Entropy, and Inequalities. 749-760 - Skip Garibaldi:

The Characteristic Polynomial and Determinant Are Not Ad Hoc Constructions. 761-778 - Marc Frantz:

How Conics Govern Möbius Transformations. 779-790 - Warren P. Johnson:

How Cauchy Missed Ramanujan's 1ψ1 Summation. 791-800
- Jan van Mill:

A Note on the Effros Theorem. 801-806 - Song Heng Chan:

An Elementary Proof of Jacobi's Six Squares Theorem. 806-811 - Nils R. Barth:

Computing Cavalieri's Quadrature Formula by a Symmetry of the n-Cube. 811-813 - Deniz Kazanci, Andrew Vince:

A Property of Normal Tilings. 813-816
- Andrzej Nowojewski, Jakub Kallas, Andrzej Dragan, Abe Shenitzer, Stefan Mykytiuk, John Stillwell:

On the Appearance of Moving Bodies. 817-821
- Marius Ghergu:

Problem 11110. 822 - Pál Péter Dályay:

Problem 11111. 822 - Yongge Tian:

Problem 11112. 822 - Isaac Sofair:

Problem 11113. 822 - Benne de Weger:

Problem 11114. 823 - Jack Clark:

Problem 11115. 823 - Darko Veljan:

Problem 11116. 823
- Ye Zhong Hao, Wu Wei Chao, J. Schaer:

Gossard Perspector: 10980. 823-824 - Roland Bacher, Julio Kuplinsky, Richard Stong:

A Family of Polynomials: 10989. 824-825 - Rick Mabry, Bernardo M. Ábrego:

The Envelope, Please: 10990. 825-826 - Raymond Mortini, Saïd Amghibech:

A Nonholomorphic Map of the Disk: 10991. 826-827 - David Lubell, Chris Hill, Albert Nijenhuis:

Equal Sums of Reciprocal Products: 10992. 827-829 - David Savitt, Chris Hill:

Recognizing n-Divergent Sequences: 10994. 829
Volume 111, Number 10, December 2004
- Volume Information. 930-937

- Judith V. Grabiner:

Newton, Maclaurin, and the Authority of Mathematics. 841-852 - Tom M. Apostol, Mamikon A. Mnatsakanian:

Figures Circumscribing Circles. 853-863 - Hartmut Logemann, Eugene P. Ryan:

Asymptotic Behaviour of Nonlinear Systems. 864-889 - Stephanie Edwards, Russell A. Gordon:

Extreme Curvature of Polynomials. 890-899
- Heinrich v. Weizsäcker:

Can One Drop in 's Subsequence Theorem? 900-903 - G. Donald Chakerian, Murray S. Klamkin:

A Three-Point Characterization of Central Symmetry. 903-905 - Iosif Pinelis:

L'Hospital Rules for Monotonicity and the Wilker-Anglesio Inequality. 905-909 - Noriaki Kimura, Kenneth S. Williams:

Infinitely Many Insolvable Diophantine Equations. 909-913 - Jón R. Stefánsson:

Forward Shifts and Backward Shifts in a Rearrangement of a Conditionally Convergent Series. 913-914
- Michael Nyblom:

Problem 11117. 915 - Vesselin Dimitrov:

Problem 11118. 915 - John Robertson:

Problem 11119. 915 - Bob Berk, Larry Shepp:

Problem 11120. 915 - H. A. ShahAli:

Problem 11121. 916 - Victor Pambuccian:

Problem 11122. 916 - Arturas Dubickas:

Problem 11123. 916
- Giorgio Goldoni, Allan Berele:

An Excenteric Iteration: 10993. 916-917 - Donato Trigiante, Albert Stadler:

Where Are the Zeros?: 10995. 917 - Ed T. Prothro, Chris Hill:

Prime Divisors of Fermat Numbers: 10997. 917-918 - Roberto Tauraso, Jiri Lebl:

Distance to the Boundary: 10998. 918 - George Lamb, Cornelius Stallmann, Gerald Thompson, Zafar Ahmed, O. P. Lossers:

An Integral Three Ways: 11000. 918-920 - Rick Mabry, Jody M. Lockhart:

Powered Terms in a Series: 11001. 920 - Y.-F. S. Pétermann, C. T. Stretch, Jamie Simpson:

A Problem That Bears Repeating: 11002. 920-921 - Stephen B. Gray, Clayton W. Dodge:

The Orthocenter and Circumcenter Are Isogonal Conjugate Points: 11003. 921-922 - Errata for 2004: Fibonacci in Complex Camouflage: 10858. 922

- Errata for 2004: 11089. 922

- Errata for 2004: Some Bernstein Polynomials: 10985. 922

- Errata for 2004: A Group Determined by Relations?: 10933. 922

- Errata for 2004: An Iterative Sequence: 10988. 922

- Bruce P. Palka:

Editor's Endnotes. 927-929

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