Journal: The American Mathematical Monthly

Volume 126, Issue 9

771 -- 785Lionel Ponton. The Calkin-Wilf Tree of a Quadratic Surd
786 -- 801Rick Mabry. Fibonacci Numbers, Integer Compositions, and Nets of Antiprisms
802 -- 808Peter Shiu. On Erdős's Last Equation
809 -- 815G. J. O. Jameson. Operator-valued Extensions of Matrix-norm Inequalities
816 -- 824Fredrik Ekström. Dimension of Random Limsup Sets
825 -- 834Seth Zimmerman, Chungwu Ho. Partitioning the Real Line into an Uncountable Collection of Everywhere Uncountably Dense Sets
835 -- 837Antonín Slavík. Unbiased Version of Hall's Marriage Theorem in Matrix Form
838 -- 840Manor Mendel. A Simple Proof of the Johnson-Lindenstrauss Extension Theorem
840 -- 0Enrique Treviño. Probabilistic Proof that 1+2+⋯+n=n(n+1)2
841 -- 844Franz Embacher, Hans Humenberger. A Note on the Stammler Hyperbola
845 -- 849Iris Gaber, Arieh Lev, Romina Zigdon. Insights and Observations on Teaching the Intermediate Value Theorem
850 -- 858Gerald A. Edgar, Daniel H. Ullman, Douglas B. West. Problems and Solutions
859 -- 0Benjamin Braun, Santiago de León, Kyle Franz, Sami Sultan. Base-b Representations
860 -- 864Nicholas Scoville. Reviews

Volume 126, Issue 8

675 -- 687Mark Krusemeyer, Daniel H. Ullman. The Seventy-Ninth William Lowell Putnam Mathematical Competition
688 -- 698Carl Pomerance, Chris Spicer. Proof of the Sheldon Conjecture
699 -- 0Niels Lauritzen, Jesper Funch Thomsen. A Euclidean Algorithm for Integer Matrices
700 -- 716Rainer Hegselmann, Ulrich Krause. Consensus and Fragmentation of Opinions with a Focus on Bounded Confidence
717 -- 727Erik Talvila. Fourier Transform Inversion Using an Elementary Differential Equation and a Contour Integral
728 -- 734Florian Luca, Pantelimon Stanica. Perfect Squares as Concatenation of Consecutive Integers
735 -- 739James East, Ron Niles. Integer Triangles of Given Perimeter: A New Approach via Group Theory
740 -- 741Harold W. Ellingsen Jr.. A Fresh Look at Highly Composite Numbers
742 -- 747Fiachra Knox, Bojan Mohar, David R. Wood. A Golden Ratio Inequality for Vertex Degrees of Graphs
747 -- 0Misha Kutzman, Vadim Ponomarenko. Count to Six in Six Languages
748 -- 753Ashish Goyal, Hemant Kalra, Deepak Gumber. On the Probability That an Automorphism Fixes a Group Element
754 -- 0André Pierro de Camargo. A Straightforward Approach to the Product Rule
755 -- 763Gerald A. Edgar, Daniel H. Ullman, Douglas B. West. Problems and Solutions
764 -- 768Priscilla S. Bremser. Reviews

Volume 126, Issue 7

579 -- 592John B. Little. The Many Lives of the Twisted Cubic
593 -- 609Kristopher Tapp. Measuring Political Gerrymandering
610 -- 619Athanase Papadopoulos. Three Theorems of Menelaus
619 -- 0. The Paul R. Halmos-Lester R. Ford Awards for 2018
620 -- 627Anatolii Grinshpan, Hugo J. Woerdeman. A Linear-algebraic Proof of Hilbert's Ternary Quartic Theorem
628 -- 634Michael Maltenfort. Decimal Selection Functions
635 -- 640Malik Younsi. Peano Curves in Complex Analysis
641 -- 645Graham Jameson, Peter R. Mercer. The Logarithmic Mean Revisited
646 -- 650Marc Chamberland, Eugene A. Herman. Arctangent Formulas and Pi
651 -- 654Ioulia N. Baoulina. Integer Ratios of Consecutive Alternating Power Sums
655 -- 656Yossi Lonke. Shadows of Cube Vertices
657 -- 0Christian Aebi. 53 Is the Smallest Prime That Is Not the Sum or Difference of Powers of the First Two Prime Numbers
658 -- 666Gerald A. Edgar, Daniel H. Ullman, Douglas B. West. Problems and Solutions
667 -- 672Karl-Dieter Crisman. Reviews

Volume 126, Issue 6

483 -- 490Colin Adams, Allison Henrich, Kate Kearney, Nicholas Scoville. Knots Related by Knotoids
491 -- 504Ronaldo Garcia. Elliptic Billiards and Ellipses Associated to the 3-Periodic Orbits
505 -- 518Tiffany Kolba, Anthony Coniglio, Sarah Sparks, Daniel Weithers. Noise-Induced Stabilization of Perturbed Hamiltonian Systems
519 -- 526José Hernández Santiago. The Group-Theoretic Analog of Kuratowski's Closure-Complement Theorem
527 -- 540Jennifer Brooks. An Interesting Family of Symmetric Polynomials
541 -- 546Judy A. Holdener, Emily Rachfal. Perfect and Deficient Perfect Numbers
546 -- 0David Treeby. Relativity
547 -- 552Krzysztof Chris Ciesielski, M. E. Martínez-Gómez, Juan B. Seoane-Sepúlveda. "Big" Continuous Restrictions of Arbitrary Functions
553 -- 558Jonathan M. Fraser. Almost Arithmetic Progressions in the Primes and Other Large Sets
559 -- 560Hunter Swan. Nonnegative Eigenvectors of Symmetric Matrices
561 -- 0Jacques Gélinas, Alexander G. Smirnov. Integral Representation for Derivatives of cos( x )
562 -- 570Gerald A. Edgar, Daniel H. Ullman, Douglas B. West. Problems and Solutions
571 -- 576Dominic Lanphier. Reviews

Volume 126, Issue 5

387 -- 399Bruce Torrence. Passing the Buck and Firing Fibonacci: Adventures with the Stochastic Abacus
400 -- 417Dmitri V. Fomin. Is the Multiset of n Integers Uniquely Determined by the Multiset of Its s-sums?
418 -- 429Tim Antonelli. A Surprising Link Between Integer Partitions and Euler's Number e
430 -- 436Niels Juul Munch. A Chebyshev Theorem for Ellipses in the Complex Plane
436 -- 0. The Hardest Jumbles
437 -- 447Thomas R. Cameron. The Determinant from Signed Volume to the Laplace Expansion
448 -- 0Olivier Schneegans. How Close to 10 Is π2 ?
449 -- 454Gerd Herzog, Peer Chr. Kunstmann. Korovkin's Theorem for Functionals and Limits for Box Integrals
454 -- 0Vadim Ponomarenko. 100 Years Ago This Month in The American Mathematical Monthly
455 -- 458R. R. Andruszkiewicz, K. Pryszczepko. A Curious Characterization of Subrings of the Field Q and Applications
459 -- 463Raymond Mortini. A Simpler Proof of Cohen's Factorization Theorem
464 -- 466Aleksander Blaszczyk. A Simple Proof of Sierpiński's Theorem
467 -- 0Angel Plaza. kth Power of a Partial Sum
468 -- 476Gerald A. Edgar, Daniel H. Ullman, Douglas B. West, Paul Bracken. Problems and Solutions
477 -- 479Thomas Ratliff. Reviews
479 -- 0. Solution to the Hardest Jumbles
480 -- 0Susan Jane Colley. Editor's Endnotes

Volume 126, Issue 4

291 -- 305Deborah E. Seacrest, Tyler Seacrest. The Prisoner Shouting Puzzle and Variations
306 -- 318Alan D. Taylor, Stan Wagon. A Paradox Arising from the Elimination of a Paradox
319 -- 329Finbarr Holland, Roger Smyth. Cardioids and Self-inversive Cubic Polynomials
330 -- 339Scott T. Chapman. So What Is Class Number 2?
340 -- 350M. G. Mahmoudi. A Geometric Interpretation of the Simplicity of SO(3)
351 -- 0Simon Demers. The Smallest Number That Cannot Be Collapsed Using Fewer Than 6 Plus Signs is 3003344034004
352 -- 357Makoto Ozawa, Scott A. Taylor. Two More Proofs that the Kinoshita Graph is Knotted
358 -- 360Péter Kórus. Notes on Projectile Motion
361 -- 363M. L. Glasser. A Note on Beukers's and Related Double Integrals
364 -- 366Stasys Jukna. Coin Flipping Cannot Shorten Arithmetic Computations
367 -- 369Stephan Berendonk. A Napoleonic Theorem for Trapezoids
370 -- 378Gerald A. Edgar, Daniel H. Ullman, Douglas B. West, Paul Bracken. Problems and Solutions
379 -- 384Lowell W. Beineke. Reviews

Volume 126, Issue 3

195 -- 198Joanne Peeples, James Alvarez, Ruth Charney, John Harris, Jim Lewis, Nancy Ann Neudauer. Yueh-Gin Gung and Dr. Charles Y. Hu Award for 2019 to Philip Uri Treisman for Distinguished Service to Mathematics
199 -- 216Daniel H. Ullman, Daniel J. Velleman. Differences of Bijections
217 -- 225Jean-Paul Allouche. Two Binomial Identities of Ruehr Revisited
226 -- 236Kannan Soundararajan. Equidistribution of Zeros of Polynomials
237 -- 251Oscar M. Perdomo. The Round Taylor Method
252 -- 254V. P. Ramesh, R. Thangadurai, R. Thatchaayini. A Note on Gauss's Theorem on Primitive Roots
255 -- 259Shirley Llamado Yap. A Theodorus Construction
260 -- 263Jean Mawhin. Simple Proofs of the Hadamard and Poincaré-Miranda Theorems Using the Brouwer Fixed Point Theorem
264 -- 268Neil Falkner. Hahn's Proof of the Hahn Decomposition Theorem, and Related Matters
269 -- 274Tamás Forgács, Jack Luong, Joshua Williamson. A Note on Infinite Series with Recursively Defined Terms
274 -- 0Bill Rounds. Euclid's Lemma and the Square Root of 2
275 -- 279Russell A. Gordon. Comments on "Subsums of the Harmonic Series"
280 -- 288Gerald A. Edgar, Daniel H. Ullman, Douglas B. West. Problems and Solutions

Volume 126, Issue 2

99 -- 111Pamela Gorkin. Four Theorems with Their Foci on Ellipses
112 -- 0Arpan Sadhukhan. A Simple Construction to Prove Mycielski's Theorem
113 -- 134Jason Cantarella, Tom Needham, Clayton Shonkwiler, Gavin Stewart. Random Triangles and Polygons in the Plane
135 -- 150Mowaffaq Hajja, Jonathan Sondow. Newton Quadrilaterals, the Associated Cubic Equations, and Their Rational Solutions
151 -- 157Jesús Jerónimo-Castro, C. Yee-Romero. Characterizations of the Euclidean Ball by Intersections with Planes and Slabs
158 -- 160Maxim Arnold, Anatoly Eydelzon. On Matrix Pythagorean Triples
161 -- 162Jayadev S. Athreya, David Aulicino. A Trajectory from a Vertex to Itself on the Dodecahedron
163 -- 167Paolo Leonetti. Convergence Rates of Subseries
167 -- 0B. Sury. A Ring-theoretic Approach to Bound the Totient Function
168 -- 172Nicholas Phat Nguyen. A Note on Cyclotomic Integers
173 -- 178Dorin Andrica, Vlad Crisan. The Smallest Nontrivial Solution to xk≡1 (modn) and Related Sequences
179 -- 0Robert G. Donnelly, Molly Dunkum. The Group Action Tri-cycle Theorem
180 -- 188Gerald A. Edgar, Daniel H. Ullman, Douglas B. West, Paul Bracken. Problems and Solutions
189 -- 192Bruce Berndt. Reviews

Volume 126, Issue 10

0 -- 0. Monthly Referees for 2019
867 -- 875Norbert Henze, Günter Last. Absent-Minded Passengers
876 -- 890Vitaly Bergelson, Joseph Vandehey. A Hot Spot Proof of the Generalized Wall Theorem
891 -- 904Hugues Bellemare, Yves Langlois, Thomas Ransford. A Positivity Conjecture Related to the Riemann Zeta Function
905 -- 914Balázs Gerencsér, Viktor Harangi. Too Acute to Be True: The Story of Acute Sets
915 -- 927Mark L. Huber. Halving the Bounds for the Markov, Chebyshev, and Chernoff Inequalities Using Smoothing
928 -- 0Bogdan Veklych. A Minimalist Proof of the Law of Quadratic Reciprocity
929 -- 932Gérard Lavau. The Truncated Tetrahedron Is Rupert
933 -- 935Meinolf Geck. Eigenvalues and Polynomial Equations
936 -- 939Bernardo de la Calle Ysern. Asymptotically Stable Equilibria of Gradient Systems
940 -- 942B. Sury. Lower Bound for the Least Common Multiple
942 -- 0François Huppé, Vadim Ponomarenko. Primes in (0, n] vs. (n, m]
943 -- 944Anuj Jakhar. A Useful Irreducibility Result for Integer Polynomials
945 -- 0Hongwei Lou. Remark on "When Must a Flat Function be Identically 0?"
946 -- 954Gerald A. Edgar, Daniel H. Ullman, Douglas B. West. Problems and Solutions
955 -- 958Dylan A. King, Thomas C. Martinez, Steven J. Miller 0001, Chenyang Sun. Reviews
958 -- 0Marion Deutsche Cohen. End
959 -- 960Susan Jane Colley. Editor's Endnotes

Volume 126, Issue 1

3 -- 0Susan Jane Colley. Letter from the Editor
4 -- 17Jayadev S. Athreya, Bruce Reznick, Jeremy T. Tyson. Cantor Set Arithmetic
18 -- 32Florian Frick, Kelsey Houston-Edwards, Frédéric Meunier. Achieving Rental Harmony with a Secretive Roommate
33 -- 40Javier Sánchez-Reyes. The Joukowsky Map Reveals the Cubic Equation
41 -- 52Daniel P. Bossaller, Sergio R. López-Permouth. On the Associativity of Infinite Matrix Multiplication
53 -- 59Waldemar Pompe. Concurrent Lines in the Napoleon-style Configurations
60 -- 65Benjamin Sambale. Pseudo Sylow Numbers
66 -- 69William Cocke, Geetha Venkataraman. On the Number of Elements of Maximal Order in a Group
70 -- 73Dylan Fridman, Juli Garbulsky, Bruno Glecer, James Grime, Massi Tron Florentin. A Prime-Representing Constant
74 -- 77José Manuel Rodríguez Caballero. A Characterization of the Hypotenuses of Primitive Pythagorean Triangles Using Partitions into Consecutive Parts
77 -- 0Vadim Ponomarenko. Help with the Jumble
78 -- 80John Donnelly. On a Conjecture of Fickett
81 -- 0Kantaphon Kuhapatanakul, K. Thongsing. Generalizations of the Fibonacci-Lucas Relations
82 -- 90Gerald A. Edgar, Daniel H. Ullman, Douglas B. West. Problems and Solutions
91 -- 96Tullia Dymarz. Reviews