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ORCIDThe American Mathematical Monthly, Volume 131
Volume 131, Number 1, January 2024
- Timothy Sun
:
Commutators in the Rubik's Cube Group. 3-19 - John Greene, Weizhi Jing:
The Factor Ring Structure of Quadratic Principal Ideal Domains. 20-29 - Thomas F. Banchoff, Felix Günther:
The Discrete Theorema Egregium. 30-47 - Rinaldo B. Schinazi:
Collective Evolution Under Catastrophes. 48-59 - Vadim Ponomarenko:
100 Years Ago This Month in The American Mathematical Monthly. 59 - István Tomon:
Tiling with Monotone Polyominos. 60-65 - Hector Pasten:
A Derivation of the Infinitude of Primes. 66-73 - Wouter Kager:
A Short Simple Proof of Closedness of Convex Cones and Farkas' Lemma. 74-75 - Daniel H. Ullman, Daniel J. Velleman, Stan Wagon, Douglas B. West:
Problems and Solutions. 76-86 - Beth Malmskog:
Reviews Political Geometry: Rethinking Redistricting in the US with Math, Law, and Everything In Between . Edited by Moon Duchin and Olivia Walch, Birkhäuser, 2022. 477 pp., ISBN 978-3319691602, $32.99. 87-92
Volume 131, Number 2, February 2024
- Daniel Johnston, P. Mark Kayll, Cory Palmer:
Deranged Matchings: Proofs and Conjectures. 95-111 - Will Traves, David L. Wehlau:
Ten Points on a Cubic. 112-130 - Raymond Mortini:
Yet Another Integral Representation of Catalan's Constant. 130 - Elcio Lebensztayn, Vicenzo Pereira:
On Random Walks with Geometric Lifetimes. 131-144 - Vadim Ponomarenko:
100 Years Ago This Month in The American Mathematical Monthly. 144 - Jeremy Siegert:
Abbott Dimension, Mathematics Inspired by Flatland. 145-161 - Mark A. Mandelkern:
The Altitudes of a Triangle. 162-163 - Carl Feghali:
Another Proof of Euler's Circuit Theorem. 164 - Marc Zucker:
From Abel's Binomial Theorem to Cayley's Tree Formula. 165-169 - Katsumasa Ishii:
A Sufficient Condition for a Prime to be a Sophie Germain Prime. 169 - Daniel H. Ullman, Daniel J. Velleman, Stan Wagon, Douglas B. West:
Problems and Solutions. 170-180 - Victor Piercey:
Reviews How Data Happened: A History from the Age of Reason to the Age of Algorithms . By Chris Wiggins and Matthew L Jones, WW Norton, 2023. 3484 pp., ISBN 978-1-324-00673-2, $30.00. 181-184
Volume 131, Number 3, March 2024
- Mario Gómez, Facundo Mémoli:
The Four Point Condition: An Elementary Tropicalization of Ptolemy's Inequality. 187-203 - János Pach, Gábor Tardos:
Where Have All the Grasshoppers Gone? 204-212 - John G. Ratcliffe, Steven T. Tschantz:
On a Geometry Problem in Plato's Meno. 213-224 - Reza Farhadian, Vadim Ponomarenko:
A Statistical Proof of Chebyshev's Sum Inequality. 224 - Christoph Börgers, Bruce M. Boghosian, Natasa Dragovic, Anna Haensch:
A Blue Sky Bifurcation in the Dynamics of Political Candidates. 225-238 - Anton Petrunin, Stephan Stadler:
Six Proofs of the Fáry-Milnor Theorem. 239-251 - Tom Edgar:
Ohm My: An Electrifying Method of Summing Arithmetic Sequences. 252-254 - Vadim Ponomarenko:
100 Years Ago This Month in The American Mathematical Monthly. 254 - Albin Fredriksson:
Optimizing for the Rupert Property. 255-261 - Daniel H. Ullman, Daniel J. Velleman, Stan Wagon, Douglas B. West:
Problems and Solutions. 262-272 - Lola Thompson:
Reviews An Introduction to the Circle Method . By M. Ram Murty & Kaneenika Sinha, American Mathematical Society, 2023. 258 pp., ISBN 978-1-4704-7203-0, $59.00. 273-276
Volume 131, Number 4, April 2024
- Kyle Hammer, Kevin J. McGown, Skip Moses:
Euclidean Rings of S -integers in Complex Quadratic Fields. 279-293 - Matthew Macauley:
Dihedralizing the Quaternions. 294-308 - Donald Teets:
Lagrange Points and the James Webb Space Telescope. 309-318 - Antonella Perucca, Tim Seuré, Vincent Wolff:
Divisibility Graphs and Modular Multiplication Tables. 319-334 - Nawal Kishor Hazarika, Pijush Pratim Sarmah:
On Some Localizations and Their Relation to Quotients. 335-342 - Antonín Slavík, Marie Vestenická:
Lucky Cars: Expected Values and Generating Functions. 343-348 - John M. Campbell:
A Proof of ζ (2)= π 2 /6 Involving a Fourier-Legendre Expansion. 349-352 - Vadim Ponomarenko:
100 Years Ago This Month in The American Mathematical Monthly. 352 - Daniel H. Ullman, Daniel J. Velleman, Stan Wagon, Douglas B. West:
Problems and Solutions. 353-363 - Gary Gordon, Liz McMahon:
Reviews Around the World in 80 Games . By Marcus Du Sautoy, Basic Books, 2023. 384 pp., ISBN 978-1541601284, $30.00. 364-368
Volume 131, Number 5, May 2024
- David M. Bradley, Albert Natian, Seán M. Stewart:
Integration using Schwinger Parametrization. 371-389 - Renyuan Li, Shenglong Zhu:
Playing Mastermind with Wordle-like Feedback. 390-399 - Zachary P. Bradshaw, Christophe Vignat:
Dubious Identities: A Visit to the Borwein Zoo. 400-416 - Pamela E. Harris, Jan Kretschmann, Juan Carlos Martínez Mori:
Lucky Cars and the Quicksort Algorithm. 417-423 - Wagner Luiz Alves de Oliveira:
Euler's Inequality for Circumradius and Inradius. 424 - Yusuf Z. Gürtas:
On Nonnegativity of the Generalized Discriminants of Quadratics. 425-431 - Vincent Vatter:
Counting Parity Palindrome Compositions. 432 - Christian Axler:
On the Primorial Counting Function. 433-439 - Vadim Ponomarenko:
100 Years Ago This Month in The American Mathematical Monthly. 439 - Golden Sun, Vladyslav Yaskin:
On a Uniqueness Problem in Discrete Tomography. 440-444 - Daniel H. Ullman, Daniel J. Velleman, Stan Wagon, Douglas B. West:
Problems and Solutions. 445-455 - Daniel E. Otero:
Reviews Number Theory Through the Eyes of Sophie Germain: An Inquiry Course . By David Pengelley, MAA Press, Providence, RI, 2023. ISBN 9781470472207, $79.00. 456-460
Volume 131, Number 6, July 2024
- Adrian Rice:
"The Riddle of the Ages": James Joseph Sylvester and the Transcendence of π. 463-478 - Allan Berele, Stefan Catoiu:
Double Balanced Quadrilaterals. 479-490 - Max A. Alekseyev:
Enumeration of Payphone Permutations. 491-500 - Lorenz Halbeisen, Norbert Hungerbühler:
A Worked out Galois Group for the Classroom. 501-510 - Jean-Marie De Koninck, William Verreault:
On the Tower Factorization of Integers. 511-518 - Diana Davis, Serge Troubetzkoy:
The Horizontal Chord Set. 519-525 - Jian-Guo Liu, Robert L. Pego:
A Simple Construction of Fat Cantor Sets. 525 - Christian Aebi, Grant Cairns:
Following in Yiu's Footsteps but on the Eisenstein Lattice. 526-529 - Vadim Ponomarenko:
100 Years Ago This Month in The American Mathematical Monthly. 529 - Elias Dubno:
Zaremba's Conjecture for Geometric Sequences: An Algorithm. 530-535 - Daniel H. Ullman, Daniel J. Velleman, Stan Wagon, Douglas B. West:
Problems and Solutions. 536-546 - Rachel Weir:
Reviews Grading for Growth: A Guide to Alternative Grading Practices that Promote Authentic Learning and Student Engagement in Higher Education . By David Clark and Robert Talbert, Routledge, 2023. 262 pp., ISBN 978-1642673814, $36.95. 547-552
Volume 131, Number 7, August 2024
- Vesta Coufal, Elizabeth Denne, Suzanne Dorée, Frank A. Farris, Perla Myers, Derek Smith:
Yueh-Gin Gung and Dr. Charles Y. Hu Award for 2024 to Michael Dorff for Distinguished Service to Mathematics. 555-557 - Ishan Banerjee, Amites Sarkar:
Sums of Two Squares Visualized. 558-565 - Nick Rubino, Maya Rebholz, Klaus Volpert:
A Dynamic Kelly Criterion for Games with a Maximum Payout. 566-580 - Mathias Sonnleitner:
Unlocking Your Bike the Easy Way. 581-594 - Vadim Ponomarenko:
100 Years Ago This Month in The American Mathematical Monthly. 594 - Michael Purcell:
Building Sets of Permutation-Fair Dice. 595-607 - Shamil Asgarli, Michael Hartglass, Daniel N. Ostrov, Byron L. Walden:
A Fair Shake: How Close Can The Sum Of n -Sided Dice Be To A Uniform Distribution? 608-617 - Francesco Laudano:
A Thābit-like Extension of the Pythagorean Theorem. 618 - Mathew Kushelman, Peter J. McGrath:
On Liouville's Theorem for Conformal Maps. 619-623 - Lazhar Bougoffa:
A Generalization of Wayment's Mean Value Theorem for Integrals. 624-626 - Iosif Pinelis:
An Exact Bound for the Inner Product of Vectors in ℂ n. 627-628 - Daniel H. Ullman, Daniel J. Velleman, Stan Wagon, Douglas B. West:
Problems and Solutions. 629-639 - Darren B. Glass:
Reviews Numbers and the World: Essays on Math and Beyond . By David Mumford, American Mathematical Society, 2023. 243 pp., ISBN 978-1-4704-7051-7, $69.00. 640-644
Volume 131, Number 8, September 2024
- Daniel H. Ullman, Paul Zeitz:
The Eighty-Fourth William Lowell Putnam Mathematical Competition. 647-661 - Yann Demichel:
Who Invented von Koch's Snowflake Curve? 662-668 - Taboka Prince Chalebgwa, Sidney A. Morris:
Topology Meets Number Theory. 669-689 - Ian Stewart:
Intrinsic Geometries of the Simple Group of Order 168. 690-703 - William Cocke:
Add Nihilo. 703 - Sophia Liao, Harold Polo:
A Goldbach Theorem for Laurent Polynomials with Positive Integer Coefficients. 704-711 - Vadim Ponomarenko:
100 Years Ago This Month in The American Mathematical Monthly. 711 - Paul Pollack:
Z[-5]: Halfway to Unique Factorization. 712-717 - Fernando Chamizo, Dulcinea Raboso:
Digits, Primes and, of course, Pi. 718-721 - Daniel H. Ullman, Daniel J. Velleman, Stan Wagon, Douglas B. West:
Problems and Solutions. 722-731 - Nicholas A. Scoville:
Reviews. 732-736
Volume 131, Number 9, October 2024
- Ne'Kiya Jackson, Calcea Johnson:
Five or Ten New Proofs of the Pythagorean Theorem. 739-752 - Frank Baginski, Valério Ramos Batista:
Closed Geodesics on the Mylar Balloon Shape. 753-774 - Jean-Paul Allouche, Claude Morin:
Kempner-like Harmonic Series. 775-783 - Rinnosuke Matsuhira, Toshiki Matsusaka, Koki Tsuchida:
How Long Can k -Göbel Sequences Remain Integers? 784-793 - Vadim Ponomarenko:
100 Years Ago This Month in The American Mathematical Monthly. 793 - Neil Epstein:
Rational Functions as Sums of Reciprocals of Polynomials. 794-801 - David M. Bradley:
The Area Under the Witch of Agnesi. 802 - Nicholas J. Werner:
A Note on Finite Nilpotent Groups. 803-805 - Ezzaddin Al-Ajrawi:
Inscribing Spheres in Topologically Embedded Simplices. 806-813 - Daniel H. Ullman, Daniel J. Velleman, Stan Wagon, Douglas B. West:
Problems and Solutions. 814-824 - Jessica Otis:
Reviews. 825-828
Volume 131, Number 10, November 2024
- Antonín Slavík:
De Bruijn's Short Route to Rényi's Parking Constant. 831-841 - Konstantinos Gaitanas:
New Primality Criterion Based on Lucas Sequences. 842-854 - M. Suresh Kumar, V. Kamalakannan:
Construction of an Iterated Function System on ℝ 2 whose Attractor is a QR Code. 855-865 - Noga Alon, Olivier Bousquet, Kasper Green Larsen, Shay Moran, Shlomo Moran:
Diagonalization Games. 866-879 - Lazhar Bougoffa:
A Note on Bolzano's Intermediate Value Theorem. 880 - Raphaël Cerf, Carlo Mariconda:
The Lavrentiev Phenomenon. 881-898 - Guillaume Chapuy, Guillem Perarnau:
A Telescopic Proof of Cayley's Formula. 899-902 - Vadim Ponomarenko:
100 Years Ago This Month in The American Mathematical Monthly. 902 - Hirofumi Nakai:
A Remark on the Ratio of Consecutive Primes. 903-904 - Daniel H. Ullman, Daniel J. Velleman, Stan Wagon, Douglas B. West:
Problems and Solutions. 905-915 - Rutuja Kshirsagar, Gretchen L. Matthews:
Reviews: Essays on Coding Theory . By Ian F. Blake, Cambridge University Press, 2024. 458 pp., ISBN 978-1-009-28337-3, $69.99. 916-920
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