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The American Mathematical Monthly, Volume 113
Volume 113, Number 1, January 2006
- Andrew Granville, Greg Martin:
Prime Number Races. 1-33 - John W. Hagood, Brian S. Thomson:
Recovering a Function from a Dini Derivative. 34-46 - Marc Frantz:
Some Graphical Solutions of the Kepler Problem. 47-56
- Henry Cohn:
A Short Proof of the Simple Continued Fraction Expansion of. 57-62 - Thomas J. Osler:
A Proof of the Continued Fraction Expansion of 1/M. 62-66 - Xiongping Dai:
Continuous Differentiablity of Solutions of ODEs with Respect to Initial Conditions. 66-70 - Stephen P. Boyd, Persi Diaconis, Jun Sun, Lin Xiao:
Fastest Mixing Markov Chain on a Path. 70-74
- Pawel Strzelecki, Abe Shenitzer:
The Poincaré Conjecture? 75-78
- Folkmar Bornemann:
Problem 11194. 79 - Marian Tetiva:
Problem 11195. 79 - Mohammad Hossein Mehrabi:
Problem 11196. 79 - Oleg Faynshteyn:
Problem 11197. 79 - P. R. Parthasarathy:
Problem 11198. 79 - Aliyev Yakub:
Problem 11199. 80 - Joel Zinn:
Problem 11200. 80
- Amol J. Sasane, Robin Chapman:
Diagonals of a Regular Polygon: 10924. 80-81 - Nick MacKinnon, Kenneth Schilling:
Optimal Strategy for a Number-Guessing Game: 11051. 81-82 - C. T. Stretch, et al.:
A Point with Given Distances: 11057. 82-83 - Mark Bowron, Bruce S. Burdick:
Closure, Complement, and Union: 11059. 83 - Roberto Tauraso, Richard Stong:
Commuting Analytic Maps: 11070. 83-84 - Matthias Beck, Jesús A. De Loera, Mike Develin, Julian Pfeifle:
Some Linear Recurrences: 11085. 84-85 - Richard Holzsager, Anton R. Schep:
Rearranged Series: 11088. 85 - Michel Bataille, O. P. Lossers:
Simple Roots for Polynomials: 11094. 85-86
- Charles Radin:
The Pursuit of Perfect Packing by Tomaso Aste; Denis Weaire; Kelper's Conjecture by George G. Szpiro. 87-90 - Shandelle M. Henson:
Complexities: Women in Mathematics by Bettye Anne Case; Anne M. Leggett. 91-93
Volume 113, Number 2, February 2006
- Jeffrey C. Lagarias:
Wild and Wooley Numbers. 97-108 - Alejo Blaya, Víctor Jiménez López:
Is Trivial Dynamics That Trivial? 109-133 - Vladimir Pozdnyakov, Martin Kulldorff:
Waiting Times for Patterns and a Method of Gambling Teams. 134-143 - Louis A. Talman:
Simpson's Rule Is Exact for Quintics. 144-155
- Herbert A. Medina:
A Sequence of Polynomials for Approximating Arctangent. 156-161 - Reinhard Diestel, Carsten Thomassen:
A Cantor-Bernstein Theorem for Paths in Graphs. 161-165 - John Konvalina, Jack Heidel, Jim Rogers:
A Mean Paradox. 166-169 - Enrique Arrondo:
Another Elementary Proof of the Nullstellensatz. 169-171 - P. L. Robinson:
The Sphere Is Not Flat. 171-173 - Daniel J. Velleman:
A Note on λ-Permutations. 173-178
- Robert Russell:
Problem 11201. 179 - Grahame Bennett:
Problem 11202. 179 - Fuxiang Yu:
Problem 11203. 179 - Christopher J. Hillar:
Problem 11204. 179 - Wu Wei Chao, Guang Zhou:
Problem 11205. 179 - Mircea Ivan, Alexandru Lupas:
Problem 11206. 180 - Michael W. Botsko:
Problem 11207. 180
- Andrei Jorza, Edward T. Ordman, Richard Stong:
No Three Faces with the Same Number of Edges: 10856. 180-183 - Danrun Huang, Daniel Scully, Achava Nakhash, Karl David:
The Limit of a Set-Valued Process: 11052. 183 - Vicentiu D. Radulescu, Richard Stong:
An Example With Periodic Orbits: 11073. 184-186 - Christopher J. Hillar, Darren L. Rhea, Godfrey L. Isaacs:
An Oldie: 11098. 186
- David E. Zitarelli:
R. L. Moore: Mathematician and Teacher by John Parker. 187-192
Volume 113, Number 3, March 2006
- Wayne Roberts:
Yueh-Gin Gung and Dr. Charles Y. Hu Award to Hyman Bass for Distinguished Service to Mathematics. 193-195 - David Pengelley, Fred Richman:
Did Euclid Need the Euclidean Algorithm to Prove Unique Factorization? 196-205 - Lluiotas Bibiloni, Pelegriota Viader, Jaume Paradiotas:
On a Series of Goldbach and Euler. 206-220 - Rajendra Bhatia:
Infinitely Divisible Matrices. 221-235 - Harold P. Boas:
Reflections on the Arbelos. 236-249
- Robert E. Hartwig:
Note on a Linear Difference Equation. 250-256 - Lech Maligranda:
Simple Norm Inequalities. 256-260 - Alexander Givental:
The Pythagorean Theorem: What Is It About? 261-265 - YiChuan Yang:
A Lattice-Ordered Skew Field Is Totally Ordered If Squares Are Positive. 265-266
- Li Zhou:
Problem 11208. 267 - Alexander Dubinov, Irina Dubinova:
Problem 11209. 267 - Michael S. Becker:
Problem 11210. 267 - Mihály Bencze:
Problem 11211. 268 - David Beckwith:
Problem 11212. 268 - Stanley Rabinowitz:
Problem 11213. 268 - Solomon W. Golomb:
Problem 11214. 268
- Richard Bagby, et al.:
Differentiable Distance: 11093. 268-269 - Vasile Mihai, O. P. Lossers:
Trapezoid Inscribed in Ellipse: 11095. 269 - Calin Popescu, Richard Stong:
A Subset-Sum Inequality: 11100. 269-270 - Earl F. Skelton, Zoltán Vörös:
An Inverse Tangent Integral: 11101. 270-271 - Vicentiu D. Radulescu, et al.:
Periodic Solution of a Differential Equation: 11104. 271-273 - Juan-Bosco Romero Márquez, Rick Luttmann, Miguel de Guzman, G. Donald Chakerian, Li Zhou:
Cevians and Centroids: 11105. 273-274 - Michel Émery, et al.:
A Sum Inequality: 11107. 274 - Marius Ghergu, et al.:
Set Inclusion and Density: 11110. 274
- Michael Beeson:
A Tour through Mathematical Logic by Robert S. Wolf. 275-280
Volume 113, Number 4, April 2006
- Óscar Martín:
Look-and-Say Biochemistry: Exponential RNA and Multistranded DNA. 289-307 - Jasbir S. Chahal:
Congruent Numbers and Elliptic Curves. 308-317 - Jeremy Gibbons:
Unbounded Spigot Algorithms for the Digits of Pi. 318-328 - Bennet Vance:
Counting Ordered Trees by Permuting Their Parts. 329-335
- Nils Abramson, Jan Boman, Björn Bonnevier:
Plane Intersections of Rotational Ellipsoids. 336-339 - Oleg Mushkarov, Nikolai Nikolov:
Semiregular Polygons. 339-344 - R. B. Burckel:
Fubinito (Immediately) Implies FTA. 344-347 - T. W. Körner:
On the Fundamental Theorem of Algebra. 347-348 - Paul Melvin:
A Topological Menagerie. 348-351 - Eberhard Knobloch:
Mathesis Perennis: Mathematics in Ancient, Renaissance, and Modern Times. 352-365
- Shmuel Rosset:
Problem 11215. 366 - Ted Chinburg, Shahriar Shahriari:
Problem 11216. 366 - Michel Bataille:
Problem 11217. 366 - Gary Gordon:
Problem 11218. 366-367 - R. A. Strubel:
Problem 11219. 367 - David Beckwith:
Problem 11220. 367 - Paolo Perfetti:
Problem 11221. 367
- Dimiter Skordev, Gerry Myerson:
An Impossible Difference Condition: 11074. 367-368 - Donald E. Knuth, Robin Chapman:
Cube-Free Sums: 11078. 368-369 - Brian Cook, James Whitenton, Richard Stong:
A Complex Identity: 11079. 369-370 - Wu Wei Chao, et al.:
A Divisibility Problem: 11082. 370-371 - William P. Wardlaw, Jean-Pierre Grivaux:
The Null Ideal of a Matrix: 11083. 371 - H. A. ShahAli, Timothy D. LeSaulnier:
Finding a Repeated Difference: 11084. 371-372 - Stephen C. Locke, Richard Stong:
Coloring Graphs with Few Odd Cycles: 11086. 372 - Florian Luca, John Ferdinands:
Sometimes Divides σk(): 11090. 372-373 - Arturo Magidin, John Cade:
The Order of a Product of Group Elements: 11092. 373
- Paul G. Goerss:
Topology: A Geometric Approach by Terry Lawson. 374-377 - Carol Wood:
Alfred Tarski: Life and Logic by Anita Burdman Feferman; Solomon Feferman. 377-379 - Ludwig Elsner:
Geršgorin and His Circles by Richard S. Varga. 379-381
Volume 113, Number 5, May 2006
- Michael J. Mossinghoff:
A $1 Problem. 385-402 - Le Baron O. Ferguson:
What Can Be Approximated by Polynomials with Integer Coefficients. 403-414 - Marcelo Sobottka, Luiz P. L. de Oliveira:
Periodicity and Predictability in Chaotic Systems. 415-424 - José A. Adell, Alberto Lekuona:
The Simplest Example of a Normal Asymptotic Expansion. 425-442
- Mowaffaq Hajja:
The Arbitrariness of the Cevian Triangle. 443-447 - Gilbert Helmberg:
Curiosities concerning Weak Topology in Hilbert Space. 447-452 - Hei-Chi Chan:
More Formulas for π. 452-455 - Detlef Gröger:
On Gauss's Entry from January 6, 1809. 455-458
- Jonathan Sondow:
Problem 11222. 459 - Christopher J. Hillar, Lionel Levine:
Problem 11123. 459 - Dietrich Trenkler, Götz Trenkler:
Problem 11224. 459 - José Luis Díaz-Barrero:
Problem 11225. 459 - Franck Beaucoup, Tamás Erdélyi:
Problem 11226. 460 - Syrous Marivani:
Problem 11227. 460 - Marian Tetiva:
Problem 11228. 460
- Emeric Deutsch, Marc Renault:
A Variation on t-Catalan Paths: 11071. 460-461 - David Callan, et al.:
The Maximum Associativeness of Division: 11091. 462-463 - Saïd Amghibech, José Heber Nieto:
An Application of Newton's Identities: 11096. 463-464 - Kevin Ford, Robin Chapman:
Ratio of Consecutive Divisors: 11097. 464 - Matthias Beck, Richard Ehrenborg, Thomas Zaslavsky, Michael Avidon, John H. Lindsey II:
Magic Squares and Nontransitive Dice: 11099. 464-465 - Gregory Galperin, Hillel Gauchman, Jany C. Binz:
Another Summation Identity Involving Binomial Coefficients: 11103. 465-466 - Emeric Deutsch, José Heber Nieto:
Counting Elevated Schröder Paths: 11108. 466-467 - Pál Péter Dályay, et al.:
Periodic Solution to a Functional Equation: 11111. 467 - Yongge Tian:
On the Inverse of a Product of Orthogonal Projectors: 11112. 467-468
- Jeffrey Nunemacher:
Prime Obsession by John Derbyshire; Stalking the Riemann Hypothesis by Dan Rockmore. 469-473
Volume 113, Number 6, June - July 2006
- David H. Bailey, Jonathan M. Borwein, Vishaal Kapoor, Eric W. Weisstein:
Ten Problems in Experimental Mathematics. 481-509 - Aaron Levin:
A Geometric Interpretation of an Infinite Product for the Lemniscate Constant. 510-520 - Tom M. Apostol, Mamikon A. Mnatsakanian:
Solids Circumscribing Spheres. 521-540
- Filip Saidak:
On Goldbach's Conjecture for Integer Polynomials. 541-545 - Peter Shiu:
Moment Sums Associated with Binary Linear Forms. 545-550 - Jerry J. Koliha:
A Fundamental Theorem of Calculus for Lebesgue Integration. 551-555 - Carlos D'Andrea, Emiliano Gómez:
The Broken Spaghetti Noodle. 555-557 - Alan F. Beardon:
Contractions of the Real Line. 557-558
- Boris A. Kushner:
The Constructive Mathematics of A. A. Markov. 559-566
- Ovidiu Furdui:
Problem 11229. 567 - Gregory Keselman:
Problem 11230. 567 - Christopher J. Hillar:
Problem 11231. 567 - Michael W. Botsko:
Problem 11232. 567 - Robert Downes:
Problem 11233. 568 - Jim Brennan, Richard Ehrenborg:
Problem 11234. 568 - Lenny Jones, Rachel Keller:
Problem 11235. 568
- Stanley Rabinowitz, Roberto Tauraso:
One from 1995: 10483. 568-569 - Joel Zinn, Gagik Amirkhanyan:
Related Divergent Series: 11076. 569-571 - Sung Soo Kim, C. Ray Rosentrater:
Another Stick-Breaking Game: 11089. 571-572 - Leroy Quet, Peter Ørno:
A Continued Fraction Related to π: 11102. 572-573 - Solomon W. Golomb, Pat Costello:
A Consequence of Dirichlet's Theorem: 11109. 573 - Isaac Sofair, Otto Ruehr:
Integrated by Fourier Transform: 11113. 573-574 - Jack Clark, Jaime Vinuesa:
A Sequence Given in Terms of Harmonic Numbers: 11115. 574
- Steve Kennedy:
Musings of the Masters by Raymond G. Ayoub. 575-580
Volume 113, Number 7, August - September 2006
- David Alan Grier:
Irene Stegun, the "Handbook of Mathematical Functions", and the Lingering Influence of the New Deal. 585-597 - Jon McCammond:
Noncrossing Partitions in Surprising Locations. 598-610 - Ole W. Christensen, Khadija L. Christensen:
Linear Independence and Series Expansions in Function Spaces. 611-627 - Bernd S. W. Schröder:
Rearranging the Calculus Sequence to Better Serve Its Partner Disciplines. 628-636
- Jonathan Sondow:
A Geometric Proof that Is Irrational and a New Measure of Its Irrationality. 637-641 - Valerio De Angelis:
Pairings and Signed Permutations. 642-644 - Anupan Netyanun, Donald C. Solmon:
Iterated Products of Projections in Hilbert Space. 644-648 - Danielle Silverman, Jim Wiseman:
Noting the Difference: Musical Scales and Permutations. 648-651 - Hao Pan:
On a Congruence modulo a Prime. 652-654
- Jim Owings:
Problem 11236. 655 - Emeric Deutsch:
Problem 11237. 655 - Aviezri S. Fraenkel:
Problem 11238. 655 - Michel Bataille:
Problem 11239. 655 - Pál Péter Dályay:
Problem 11240. 655 - Roberto Tauraso:
Problem 11241. 656 - Gerd Herzog, Roland Lemmert:
Problem 11242. 656
- David Callan, Kenneth Bernstein:
A Lattice Path Equality: 11106. 656-657 - Darko Veljan, Philipp Lampe:
Incenter Distances in a Triangulation: 11116. 657 - Vesselin Dimitrov, Robin Chapman:
A Modular Binomial Coefficient Identity: 11118. 657-658 - John Robertson:
A Property of the Generalized Pell Equation: 11119. 658-659 - H. A. ShahAli, Michael Reid:
Powers of Consecutive Integers: 11121. 659-660 - Li Zhou, Michael Avidon:
An Inequality of Cosines and Sines: 11127. 660-661 - N. G. de Bruijn, Rolf Richberg:
Sum of a Series: 11131. 661-662
- David E. Zitarelli:
When Computers Were Human by David Alan Grier. 663-668 - Bruce P. Palka:
Editor's Endnotes. 669-672
Volume 113, Number 8, October 2006
- Kevin O'Bryant, Bruce Reznick, Monika Serbinowska:
Almost Alternating Sums. 673-688 - Daniel J. Velleman:
Exponential vs. Factorial. 689-704 - Jeff Suzuki:
Lagrange's Proof of the Fundamental Theorem of Algebra. 705-714 - Alois Kufner, Lech Maligranda, Lars-Erik Persson:
The Prehistory of the Hardy Inequality. 715-732 - Leonard F. Klosinski, Gerald L. Alexanderson, Loren C. Larson:
The Sixty-Sixth William Lowell Putnam Mathematical Competition. 733-743
- Héctor E. Lomelí, César L. García:
Variations on a Theorem of Korovkin. 744-750 - Ian Abramson, Larry Goldstein:
A Statistical Characterization of Regular Simplices. 750-752 - Lyle N. Long, Howard Weiss:
How Terminal Is Terminal Velocity? 752-755 - Dinesh Singh:
The Spectrum in a Banach Algebra. 756-758
- Donald E. Knuth:
Problem 11243. 759 - Jolene Harris, Bogdan Suceava:
Problem 11244. 759-760 - Cezar Lupu, Tudorel Lupu:
Problem 11245. 760 - Lee Goldstein:
Problem 11246. 760 - Jürgen Eckhoff:
Problem 11247. 760 - Pál Péter Dályay:
Problem 11248. 760 - David Beckwith:
Problem 11249. 760
- Benne de Weger, et al.:
How Many Powers of 2 Must Survive? 11114. 760-761 - Michael Nyblom, Giulio Francot, Roberto Tauraso:
Counting Powers by Inclusion and Exclusion: 11117. 762 - Bob Berk, Larry Shepp:
Gaussian Convex Hull: 11120. 762-763 - Shahin Amrahov, Andrew D. Loveless:
Now, What Year Is It? 11125. 763 - Raymond Mortini, Patrick J. Fitzsimmons:
Countably Linearly Independent: 11136. 763-764 - Grahame Bennett, O. P. Lossers:
An Odd Inequality: 11139. 764 - Walther Janous, Rolf Richberg:
A Completely Monotonic Function: 11140. 764-765 - Richard Bagby, O. P. Lossers:
Implicit Derivative Continuous: 11141. 765-766 - Joel Zinn, Grahame Bennett:
A Sum Inequality: 11145. 766
- Ramesh Gangolli:
Dark Hero of the Information Age: In Search of Norbert Wiener, the Father of Cybernetics by Flo Conway; Jim Siegelman. 767-774
Volume 113, Number 9, November 2006
- Gabriel Katz:
Curves in Cages: An Algebro-Geometric Zoo. 777-791 - Ion Barbu, Sarah Glaz, JoAnne Growney:
Ut Algebra Poesis (As Algebra, So Poetry). 792-793 - Aaron Melman, Bill Gragg:
An Optimization Framework for Polynomial Zerofinders. 794-804 - Glen Douglas Anderson, Mavina Vamanamurthy, Matti Vuorinen:
Monotonicity Rules in Calculus. 805-816
- Ingram Olkin, Larry Shepp:
Several Colorful Inequalities. 817-822 - David F. Snyder:
Combinatorics of Barycentric Subdivision and Characters of Simplicial Two-Complexes. 822-826 - Thomas Brady, Colum Watt:
On Products of Euclidean Reflections. 826-829 - Vilmos Komornik:
Another Short Proof of Descartes's Rule of Signs. 829-830
- Piotr Pragacz, Abe Shenitzer, John Stillwell, Roman Duda:
The Life and Work of Alexander Grothendieck. 831-846
- Sun Wen Cai:
Problem 11250. 847 - Marian Tetiva:
Problem 11251. 847 - Ovidiu Bagdasar:
Problem 11252. 847 - David Beckwith:
Problem 11253. 847 - Lenny Jones:
Problem 11254. 847-848 - Slavko Simic:
Problem 11255. 848 - Finbarr Holland:
Problem 11256. 848 - Gerd Herzog, Roland Lemmert:
Problem 11242. 848
- Victor Pambuccian, Robin Chapman:
Pythagorean Triangles Are Not Quite Perfect: 11122. 848-850 - James S. Weber:
How Many Histograms Can a Data Set Have? 11126. 850-851 - Yongge Tian, Robin Chapman:
Inequalities Involving Rank and Kronecker Product: 11129. 851 - Paul Bateman, Michael Avidon:
Approximating the Reciprocal of Zeta: 11130. 852-854 - Pamela Gorkin, Raymond Mortini:
A Meromorphic Function: 11147. 854
- Charles R. Hampton:
Philosophy of Mathematics: An Introduction to the World of Proofs Pictures by James Robert Brown; Philosophies of Mathematics by Alexander George; Daniel J. Velleman; Thinking about Mathematics: The Philosophy of Mathematics by Stewart Shapiro. 855-860
Volume 113, Number 10, December 2006
- Volume Information.
- Emmanuel Kowalski:
Bernstein Polynomials and Brownian Motion. 865-886 - Rachel Wells Hall, Paul Klingsberg:
Asymmetric Rhythms and Tiling Canons. 887-896 - Pamela B. Pierce, Daniel J. Velleman:
Some Generalizations of the Notion of Bounded Variation. 897-904 - Richard O. Hill, Thomas H. Parker:
A Study of Core-Plus Students Attending Michigan State University. 905-921
- Andrew J. Simoson:
Sliding along a Chord through a Rotating Earth. 922-928 - Alexander G. Ramm:
Dynamical Systems Method and a Homeomorphism Theorem. 928-933 - Benjamin Baumslag:
A Simple Way of Proving the Jordan-Hölder-Schreier Theorem. 933-935 - Andrew Browder:
Complex Numbers and the Ham Sandwich Theorem. 935-937 - Filip Saidak:
A New Proof of Euclid's Theorem. 937-938
- Raimond Struble:
Problem 11257. 939 - Manuel Kauers:
Problem 11258. 939 - Nobuhisa Abe:
Problem 11259. 939 - Paolo Perfetti:
Problem 11260. 939 - Isaac Sofair:
Problem 11261. 940 - Ashay Burungale:
Problem 11262. 940 - Gregory Keselman:
Problem 11263. 940
- Christoph Soland:
Secondary Inradii: 11046. 940-941 - Arturas Dubickas, Chris Smyth, Richard Stong:
Polynomials with Three Distinct Zeros Summing to Zero: 11123. 941-942 - Ray Redheffer, Richard Stong:
A Cousin of Gronwall's Inequality: 11135. 942-943 - Roberto Tauraso, O. P. Lossers:
Perfect Squares From Punctured Squares: 11138. 943-944 - Mircea Ivan, et al.:
Patrial Fractions, Product Log: 11152. 945 - Emmanuel Kowalski, Tanguy Rivoall:
A Positive Polynomial: 11155. 945-946 - Errata and End Notes for 2006. 946
- Della D. Fenster:
Saunders Mac Lane: A Mathematical Autobiography by Saunders Mac Lane. 947-951 - Steven Galovich:
Ants, Bikes, and Clocks: Problem Solving for Undergraduates by William Briggs. 951-954
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