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ORCIDThe American Mathematical Monthly, Volume 130
Volume 130, Number 1, January 2023
- Della Dumbaugh:
Letter from the Editor: The Power of Book Reviews. 3-4 - Florian Frick, Fei Peng:
What Can You Draw? 5-19 - Vadim Ponomarenko:
100 Years Ago This Month in The American Mathematical Monthly. 19 - Maiyu Diaz
:
Asymptotics on a Class of Legendre Formulas. 20-34 - Iris Stephanie Arenas Longoria, James A. Mingo:
Freely Independent Coin Tosses, Standard Young Tableaux, and the Kesten-McKay Law. 35-48 - Hyounggyu Choi:
Invariance of the Area and Volume of Cycloid Surfaces and Trochoid Surfaces. 49-62 - Reza Farhadian:
Remark on Jensen's Inequality. 62 - J. J. P. Veerman, Logan S. Fox, P. J. Oberly:
A Remarkable Summation Formula, Lattice Tilings, and Fluctuations. 63-75 - Sergio A. Carrillo:
Pythagorean Boxes and Quotients of Gaussian Integers. 76-82 - Bo He, Y. L. Mao, Alain Togbé:
A Fibonacci Version of Wolstenholme's Harmonic Series Congruence. 83-85 - Daniel H. Ullman, Daniel J. Velleman, Stan Wagon, Douglas B. West:
Problems and Solutions. 86-95 - Adriana Salerno:
Reviews. 96-100
Volume 130, Number 2, February 2023
- Matti Selg:
Galileo's Swiftest Descent Problem Revisited: Complete Analytic Solution. 103-113 - Haydar Göral, Hikmet Burak Özcan, Doga Can Sertbas:
The Green-Tao Theorem and the Infinitude of Primes in Domains. 114-125 - Alessio Del Vigna:
The Basel Problem and the Fundamental Theorem of Calculus. 126 - Kate Gingell, Franklin Mendivil:
Random Walks, Directed Cycles, and Markov Chains. 127-144 - Michail I. Schlesinger, Valerii Krygin:
Minimax Theorem Revisited. 145-157 - Jasbir S. Chahal:
What Do Networks and Elliptic Curves Have in Common? 158-175 - Arpan Sadhukhan:
A Combinatorial Proof of the Existence of Dense Subsets in ℝ without the "Steinhaus" like Property. 175 - Jan Cermák, Lucie Fedorková:
On a Nearly Forgotten Polynomial Result by P. Bohl. 176-181 - Vadim Ponomarenko:
100 Years Ago This Month in The American Mathematical Monthly. 181 - Katiuscia C. B. Teixeira:
On the Topology of Punctured Spaces. 182-185 - George Stoica, Yousef Wardat:
A Special Form of Slower Divergent Series. 186 - Daniel H. Ullman, Daniel J. Velleman, Stan Wagon, Douglas B. West:
Problems and Solutions. 187-196 - Patrick Honner:
Math Games With Bad Drawings: 75 Simple, Challenging, Go-Anywhere Games - And Why They Matter: By Ben Orlin, Black Dog & Leventhal, 2022. 368 pp., ISBN 978-0762499861, $28.00. 197-200
Volume 130, Number 3, March 2023
- Erel Segal-Halevi, Warut Suksompong:
Cutting a Cake Fairly for Groups Revisited. 203-213 - Vadim Ponomarenko:
100 Years Ago This Month in The American Mathematical Monthly. 213 - Andrew M. Bruckner, Judith B. Bruckner, Brian S. Thomson:
Can One Visualize a Continuous Nowhere Differentiable Function? 214-221 - Rafael López:
What Is the Shape of a Cupola? 222-238 - Arno Berger:
A Beautiful Inequality by Saint-Venant and Pólya Revisited. 239-250 - Elim Hicks, R. Andrew Hicks, Ron Perline, Sarah G. Rody:
Frobenius Integrability, Automotive Blind Spots, Non-reversing Mirrors, and Panoramic Mirrors. 251-266 - Bogdan Nica, Dacota Sprague:
Non-Archimedean Views on Gershgorin's Theorem and Diagonal Dominance. 267-275 - Graham J. O. Jameson:
Some Inequalities for Power Means; a Problem from "The Logarithmic Mean Revisited". 276-278 - Aneesh Dasgupta, Roland Roeder:
Symmetries of the Three-Gap Theorem. 279-284 - Daniel H. Ullman, Daniel J. Velleman, Stan Wagon, Douglas B. West:
Problems and Solutions. 285-294 - Jason Rosenhouse:
Reviews. 295-300
Volume 130, Number 4, April 2023
- David J. Aldous, F. Thomas Bruss:
Gambling Under Unknown Probabilities as Proxy for Real World Decisions Under Uncertainty. 303-320 - Reza Farhadian:
Remark on Cauchy-Schwarz Inequality for Differences. 320 - Amnon Yekutieli:
Pythagorean Triples, Complex Numbers, Abelian Groups and Prime Numbers. 321-334 - Benjamin Lee Warren:
A New Polygonal Number Theorem. 334 - Sudipta Kolay:
Knot Colorings: Coloring and Goeritz Matrices. 335-354 - Michael J. Griffin, Ken Ono, Neelam Saikia, Wei-Lun Tsai:
AGM and Jellyfish Swarms of Elliptic Curves. 355-369 - Eilon Solan, Omri N. Solan:
Browder's Theorem through Brouwer's Fixed Point Theorem. 370-374 - Qiaofen Jiang, Hongwei Lou:
A New Theorem for Mixed Partial Derivatives. 375-378 - Serge Troubetzkoy:
Vertex to Vertex Geodesics on Platonic Solids. 379-382 - Christian Aebi:
Regular Patterns of Quadratic Residues. 383-384 - Steven H. Weintraub:
An Observation on Average Velocity. 384 - Daniel H. Ullman, Daniel J. Velleman, Stan Wagon, Douglas B. West:
Problems and Solutions. 385-394 - Brendan W. Sullivan:
Reviews. 395-400
Volume 130, Number 5, May 2023
- Burton Simon:
The Simplest Unlimited-Player Game of Skill. 403-420 - Li Zhou:
Six Houses and Three Utilities on A Coffee Mug. 420 - Michael Purcell:
Using a SAT Solver to Find Interesting Sets of Nonstandard Dice. 421-436 - József Balogh, Zoltán Füredi, Souktik Roy:
An Upper Bound on the Size of Sidon Sets. 437-445 - Vadim Ponomarenko:
100 Years Ago This Month in The American Mathematical Monthly. 445 - Jeremy Avigad, Seulkee Baek, Alexander Bentkamp, Marijn Heule, Wojciech Nawrocki:
An Impossible Asylum. 446-453 - Gil Bor, Serge Tabachnikov:
On Cusps of Caustics by Reflection: Billiard Variations on the Four Vertex Theorem and on Jacobi's Last Geometric Statement. 454-467 - Wenchang Chu:
Three Symmetric Double Series by Telescoping. 468-477 - Gianluca Gorni, Gaetano Zampieri:
The Geodesics for Poincaré's Half-Plane: A Nonstandard Derivation. 478-481 - Trevor D. Wooley:
Finite Abelian Groups via Congruences. 482-484 - Daniel H. Ullman, Daniel J. Velleman, Stan Wagon, Douglas B. West:
Problems and Solutions. 485-494 - David Austin:
The Mathematical Community Working To Create Better (And Free!) Textbooks. 495-500
Volume 130, Number 6, July 2023
- Michael Anshelevich, Austin Pritchett:
The Concentration of the Product of Exponentials Around the Exponential of the Sum. 503-514 - Ed Scheinerman:
A Third Real Solution to x=x-1, Not Really. 514 - Tyrone Crisp:
If Rm ≅ Rn must m = n? 515-521 - Benjamin Lee Warren:
Integers as Sums of Four Tetrahedral Numbers and Eight Pentatope Numbers in One Identity. 522 - Mark B. Villarino:
Legendre-Teege Quadratic Reciprocity. 523-540 - Reza Farhadian, Vadim Ponomarenko:
Wald's Identity vs. Tail Sum Formula. 540 - Jesús A. De Loera, Edgar Jaramillo-Rodriguez, Deborah Oliveros, Antonio J. Torres:
A Model for Birdwatching and other Chronological Sampling Activities. 541-558 - Brian R. Powers:
N-Player Final-Offer Arbitration: Harmonic Numbers in Equilibrium. 559-576 - Guojun Fang:
Ghostly Irrational Numbers. 576 - Dominik Beck:
New Elementary Derivation of Fresnel Integrals. 577-582 - Vadim Ponomarenko:
100 Years Ago This Month in The American Mathematical Monthly. 582 - Yuchen Ding, Guang-Liang Zhou:
Some Applications of the Maynard-Tao Theorem. 583-586 - Daniel H. Ullman, Daniel J. Velleman, Stan Wagon, Douglas B. West:
Problems and Solutions. 587-596 - Gizem Karaali:
Reviews. 597-600
Volume 130, Number 7, August 2023
- Vesta Coufal, Suzanne Dorée, Tevian Dray, Frank A. Farris, Amy Shell-Gellasch, Derek Smith:
Yueh-Gin Gung and Dr. Charles Y. Hu Award for 2023 to Victor J. Katz for Distinguished Service to Mathematics. 603-605 - Jeffrey D. Blanchard, Marc Chamberland:
Newton's Method Without Division. 606-617 - Vadim Ponomarenko:
100 Years Ago This Month in The American Mathematical Monthly. 617 - Yasmin Aguillon, Dylan Alvarenga, Pamela E. Harris, Surya Kotapati, Juan Carlos Martínez Mori, Casandra D. Monroe, Zia Saylor, Camelle Tieu, Dwight Anderson Williams:
On Parking Functions and The Tower of Hanoi. 618-624 - Liviu I. Nicolaescu:
Counting Zeros of Random Functions. 625-646 - Anton Matis, Antonín Slavík:
Duelling Idiots and Abel Sums. 647-655 - Sofia de la Cerda:
Polynomial Approximations to Continuous Functions. 655 - Asher Auel, Owen Biesel, John Voight:
Stickelberger's Discriminant Theorem for Algebras. 656-670 - Adam Krupowies, Franciszek Prus-Wisniowski:
The Character of Convergence of the Cauchy Product. 671-677 - Soumya Bhattacharya:
The Probabilistic Pigeonhole Principle. 678 - Daniel H. Ullman, Daniel J. Velleman, Stan Wagon, Douglas B. West:
Problems and Solutions. 679-688 - Thomas Drucker:
Reviews. 689-692
Volume 130, Number 8, September 2023
- Daniel H. Ullman, Paul Zeitz:
The Eighty-Third William Lowell Putnam Mathematical Competition. 695-707 - Hans J. H. Tuenter:
In Search of Comrade Agronomof: Some Tribonacci History. 708-719 - Guy Moshkovitz, Jeffery Yu:
Sharp Effective Finite-Field Nullstellensatz. 720-727 - Daniel Daners, Laurentiu Paunescu:
The Fundamental Theorem of Algebra via Real Polynomials. 727 - Reed Acton, T. Kyle Petersen, Blake Shirman, Daniel Toal:
A More Malicious Maitre d'. 728-745 - Francesco Laudano:
a 2 =b 2 +cd , an Extended Pythagorean Formula. 746 - Amlan Banaji:
Metric Spaces where Geodesics are Never Unique. 747-754 - Katherine Knox:
Billiard Circuits in Quadrilaterals. 755-759 - William Cocke:
i nd uct ion! 759 - Kenneth S. Williams:
An Arithmetic Proof of a Theorem of Chan, Long, and Yang. 760-763 - Bikash Chakraborty:
Sum of a Geometric Series Via the Integral. 764 - Daniel H. Ullman, Daniel J. Velleman, Stan Wagon, Douglas B. West:
Problems and Solutions. 765-778 - Brian Hopkins:
Reviews Graph Theory in America: The First Hundred Years . By Robin Wilson, John J. Watkins, and David J. Parks, Princeton University Press, 2023. 320 pp., ISBN 978-0691194028, $35.00. 779-784
Volume 130, Number 9, October 2023
- Deanna B. Haunsperger:
Community and Belonging in Mathematics. 787-794 - Gábor Domokos, Flórián Kovács:
Conway's Spiral and a Discrete Gömböc with 21 Point Masses. 795-807 - Ross Hyman, T. Nicolaus Tideman:
A New Perspective on Impartial and Unbiased Apportionment. 808-822 - Tom Moshaiov:
The Determinant Mod p of a Circulant Matrix of Order p m . 823 - Roland Bacher:
A Quixotic Proof of Fermat's Two Squares Theorem for Prime Numbers. 824-836 - Dan Kalman, Robert Mena:
A Tale of Two by Two Matrices. 837-854 - Paul Renteln:
A Combinatorial Proof of a Symmetric Group Character Involution. 855-858 - Vadim Ponomarenko:
100 Years Ago This Month in the American Mathematical Monthly. 858 - Shibo Liu:
Gagliardo-Nirenberg-Sobolev Inequality: An Induction Proof. 859-861 - Daniel H. Ullman, Daniel J. Velleman, Stan Wagon, Douglas B. West:
Problems and Solutions. 862-872 - Stephen Kennedy:
Reviews I Died for Beauty: Dorothy Wrinch and the Cultures of Science . By Marjorie Senechal, Oxford University Press, 2012. 312 pp., ISBN 978-0199732593, $57.00. 873-876
Volume 130, Number 10, November 2023
- Lorenz Halbeisen, Norbert Hungerbühler, Vanessa Loureiro:
The Hidden Twin of Morley's Five Circles Theorem. 879-891 - Vincent Vatter:
On Erdős's Proof of the Existence of Cages. 892 - Nicholas R. Baeth, Scott T. Chapman:
The Importance of Being Prime ⋆ , a Nontrivial Generalization for Nonunique Factorizations. 893-914 - Mate Puljiz, Stjepan Sebek, Josip Zubrinic:
Packing Density of Combinatorial Settlement Planning Models. 915-928 - V. P. Ramesh, R. Gowtham:
The Inverse of a Bad Primitive Root is Not Bad. 928 - David Calvis:
Odd-Period Cycles of the Logistic Map. 929-943 - Erlang Surya, Lutz Warnke:
Lagrange Inversion Formula by Induction. 944-948 - Ali Reza Naghipour:
A Note on Minimal Prime Submodules. 949-951 - Vadim Ponomarenko:
100 Years Ago This Month in The American Mathematical Monthly. 951 - Daniel H. Ullman, Daniel J. Velleman, Stan Wagon, Douglas B. West:
Problems and Solutions. 952-962 - Pamela Richardson:
Reviews Once Upon a Prime . By Sarah Hart, Flatiron Books, 2023. 304 pp., ISBN 978-1-250-85088-1, $29.99. The Proof Stage . By Stephen Abbott, Princeton University Press, 2023. 416 pp., ISBN 978-0-691-20608-0, $35.00. 963-967
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