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ORCIDThe American Mathematical Monthly, Volume 129
Volume 129, Number 1, January 2022
- Della Dumbaugh:
Letter from the Editor. 3 - Alexandru Tupan:
Inellipses of Convex Polygons, Brianchon's Theorem, and Bradley's Theorem. 4-23 - Iaroslav V. Blagouchine:
Another Alternating Analogue of Euler's Constant. 24-34 - Vadim Ponomarenko:
100 Years Ago This Month in The American Mathematical Monthly. 34 - Reinhard O. W. Franz
, David G. Long:
Reconstructing Signals from Aperture-Filtered Samples. 35-51 - S. C. Coutinho:
Catching Tangent Curves in Fields of Lines. 52-65 - Li Zhou:
Cauchy-Schwarz Inequality for Differences Revisited. 65 - Guram Bezhanishvili, Patrick J. Morandi, Bruce Olberding:
A New Approach to the Katětov-Tong Theorem. 66-74 - Mohammad Javaheri, Stephanie Cambrea:
The Distribution of Fibonacci Numbers Modulo Primes. 75-79 - George Stoica:
Polynomials and Integration in Finite Terms. 80-81 - Lenny Jones:
When Does F(αd) = F(α)? 82-85 - Daniel H. Ullman, Daniel J. Velleman, Stan Wagon, Douglas B. West:
Problems and Solutions. 86-95 - Benjamin Braun:
Inventing the Mathematician: Gender, Race, and Our Cultural Understanding of Mathematics: By Sara Hottinger. SUNY Press, Albany, NY, 2017. 216 pp., ISBN 1438460104. 96-100
Volume 129, Number 2, February 2022
- Olivier de La Grandville:
On a Classic Problem in the Calculus of Variations: Setting Straight Key Properties of the Catenary. 103-115 - Tanadon Chaobankoh, P. Chomchit:
A Product of Two Primes with Difference 2. 115 - David J. Fernández-Bretón:
Using Ultrafilters to Prove Ramsey-type Theorems. 116-131 - Vadim Ponomarenko:
100 Years Ago This Month in The American Mathematical Monthly. 132 - Diego M. Benardete:
Complex Methods for Bounds on the Number of Periodic Solutions with an Application to a Neural Model. 133-150 - Sergio A. Carrillo:
The Composition of Polynomials is a Determinant. 151-165 - Martin Klazar, Richard Horský:
Are the Catalan Numbers a Linear Recurrence Sequence? 166-171 - David A. Wolfram:
Factoring Variants of Chebyshev Polynomials of the First and Second Kinds with Minimal Polynomials of cos(2π/d). 172-176 - Stephan Ramon Garcia, Roger A. Horn, Florian Luca, Kuldeep Sarma:
Powers of Rational Matrices. 177 - Bhawesh Mishra:
Polynomials Consisting of Quadratic Factors with Roots Modulo Any Positive Integer. 178-182 - Amol J. Sasane:
A Law of Conservation of Symbols. 182 - Calvin Wooyoung Chin:
A Gambler that Bets Forever and the Strong Law of Large Numbers. 183-185 - Daniel H. Ullman, Daniel J. Velleman, Stan Wagon, Douglas B. West:
Problems and Solutions. 186-195 - Dominic Klyve:
Bernoulli's Fallacy.: By Aubrey Clayton, Columbia University Press, New York, 2021. 347 >pp., ISBN 9780231199940. 196-200
Volume 129, Number 3, March 2022
- Tristram Bogart, Kevin Woods:
A Plethora of Polynomials: A Toolbox for Counting Problems. 203-222 - Steven G. Krantz:
Life in the Montel Motel. 223-230 - L. Jeneva Clark:
When I Knew Math Was Mine. 230 - Paul Ramond:
The Abel-Ruffini Theorem: Complex but Not Complicated. 231-245 - Ayan Nath:
On the Divisibility a! + b! | (a + b)! 246-254 - Alexander Betz, David A. Nash:
Classifying Groups With a Small Number of Subgroups. 255-267 - Vadim Ponomarenko:
100 Years Ago This Month in The American Mathematical Monthly. 267 - Anastasia Chavez, Christopher O'Neill:
The Fundamental Theorem of Finite Fields: A Proof from First Principles. 268-275 - Aaron Melman:
Polynomials Whose Zeros Are Powers of a Given Polynomial's Zeros. 276-280 - David Krejcirík, Frantisek Stampach:
A Sharp Form of the Discrete Hardy Inequality and the Keller-Pinchover-Pogorzelski Inequality. 281-283 - George Stoica:
Bounded Convex Functions on ℝ - an Extension. 284 - Daniel H. Ullman, Daniel J. Velleman, Stan Wagon:
Problems and Solutions. 285-294 - Della Dumbaugh, Colin Fenster:
Transforming Literature into Meaningful Experiences in Mathematics. 295-300
Volume 129, Number 4, April 2022
- Kazuo Iwama, Mike Paterson:
Bounded Hanoi. 303-319 - Karl Dilcher, Kurt Girstmair:
The Powers of Certain Number-Theoretic Matrices. 320-335 - Peter J. Dukes, Joanna Niezen:
Number Cubes with Consecutive Line Sums. 336-343 - Lev Buhovsky:
On Fabry's Quotient Theorem. 344-351 - René Brandenberg, Katherina von Dichter, Bernardo González Merino:
Relating Symmetrizations of Convex Bodies: Once More the Golden Ratio. 352-362 - A. McD. Mercer, Peter R. Mercer:
Jordan's Inequality - as Sharp as You Please. 363 - Eric L. Grinberg:
A Gauche Perspective on Row Reduced Echelon Form and Its Uniqueness. 364-373 - Vadim Ponomarenko:
100 Years Ago This Month in The American Mathematical Monthly. 373 - Calvin Wooyoung Chin:
A Short and Elementary Proof of the Central Limit Theorem by Individual Swapping. 374-380 - Ángel Plaza:
Sum of an Alternating Geometric Series Via Self-Similarity. 380 - Alan D. Sokal:
An Elementary Proof of Takagi's Theorem on the Differential Composition of Polynomials. 381-384 - Reza Farhadian:
A Generalization of Euler's Limit. 384 - Daniel H. Ullman, Daniel J. Velleman, Stan Wagon, Douglas B. West:
Problems and Solutions. 385-394 - Marcella Torres:
Biology in Time and Space: A Partial Differential Equation Modeling Approach. James Keener, American Mathematical Society, 2021. 308pp., ISBN 978-1-4704-5428-9. 395-400
Volume 129, Number 5, May 2022
- Erel Segal-Halevi:
Generalized Rental Harmony. 403-414 - 100 Years Ago This Month in The American Mathematical Monthly. 414
- Gregory Patchell, Sam Spiro:
The Maximum Number of Appearances of a Word in a Grid. 415-434 - Richard E. Korf:
A Jeep Crossing a Desert of Unknown Width. 435-444 - Allan Berele, Stefan Catoiu:
The Pentagonal Pizza Conjecture. 445-453 - Nicholas J. Higham, Matthew C. Lettington:
Optimizing and Factorizing the Wilson Matrix. 454-465 - Óscar Ciaurri:
An "Esoteric" Proof of Gelin-Cesàro Identity. 465 - Sunil K. Chebolu, Keir Lockridge:
Gaussian Binomial Coefficients in Group Theory, Field Theory, and Topology. 466-473 - Vadim Ponomarenko:
Sums of Generalized Tetrahedral Numbers. 474 - Anton Petrunin, Sergio Zamora Barrera, Ana Cristina Chávez Cáliz:
Moon in a Puddle and the Four-Vertex Theorem. 475-479 - Jonathan M. Fraser:
The Poincaré Exponent and the Dimensions of Kleinian Limit Sets. 480-484 - Ali Dursun:
Generalized Repeated Integration by Parts. 485 - Daniel H. Ullman, Daniel J. Velleman, Stan Wagon, Douglas B. West:
Problems and Solutions. 486-495 - Anna Haensch:
Reviews: Data Feminism. By Catherine D'Ignazio and Lauren F. Klein, MIT Press, Cambridge, MA, 2020. 328 pp., ISBN 9780262044004. 496-500
Volume 129, Number 6, July 2022
- Neil J. Calkin, Eunice Y. S. Chan, Robert M. Corless, David J. Jeffrey, Piers W. Lawrence:
A Fractal Eigenvector. 503-523 - Vadim Ponomarenko:
100 Years Ago This Month in The American Mathematical Monthly. 523 - Paul Thomas Young:
From Madhava-Leibniz to Lehmer's Limit. 524-538 - V. P. Ramesh, M. Makeshwari:
A Prime Primitive Root p of 2p + 1 is a Sophie Germain Prime. 538 - Lucía Rossi, Jörg M. Thuswaldner:
A Number System with Base -32. 539-553 - Alexandru Tupan:
Pentagram Configurations for Pentagons and Hexagons. 554-565 - Marc Berger, Peter Winkler:
An Ancient Combinatorial Problem. 566-575 - Vadim Ponomarenko:
Factorization of Perplex Integers. 576-581 - G. J. O. Jameson:
An Equality Underlying Hardy's Inequality. 582-586 - Daniel H. Ullman, Daniel J. Velleman, Stan Wagon, Douglas B. West:
Problems and Solutions. 587-596 - Ron Buckmire:
Shape: The Hidden Geometry of Information, Biology, Strategy, Democracy, and Everything Else. 597-600
Volume 129, Number 7, August 2022
- George Berzsenyi, Tevian Dray, Frank A. Farris, John Harris, Diane Lussier, Nancy Ann Neudauer, Amy Shell-Gellasch, Derek Smith:
Yueh-Gin Gung and Dr. Charles Y. Hu Award for 2022 to Barbara Faires for Distinguished Service to Mathematics. 603-606 - Persi Diaconis, Ronald L. Graham, Sam Spiro:
Guessing about Guessing: Practical Strategies for Card Guessing with Feedback. 607-622 - Faculty Seminar. 622
- Michael Beeson:
Euclid after Computer Proof-Checking. 623-646 - Krzysztof Chris Ciesielski:
Continuous Maps Admitting No Tangent Lines: A Centennial of Besicovitch Functions. 647-659 - Jonathan Cohen, Alan Roche:
A Tale of Two Cyclicities: Counting in Finite Cyclic Groups and Finite Fields. 660-676 - Vadim Ponomarenko:
Sums of Generalized Octahedral Numbers. 677 - Yufei Zhao:
Exploring a Planet, Revisited. 678-680 - The Paul R. Halmos-Lester R. Ford Awards for 2021. 680
- Luigi Fontana, Enrico Laeng:
A Nonzero Sequence All of Whose Discrete Moments Are Equal to Zero. 681-684 - Daniel H. Ullman, Daniel J. Velleman, Stan Wagon, Douglas B. West:
Problems and Solutions. 685-694 - Krystal Taylor:
Reviews: The Finite Field Distance Problem. By David Covert, MAA Press, Washington DC, 2021. 181 pp., ISBN 978-1-4704-6031-0. 695-700 - Vadim Ponomarenko:
100 Years Ago This Month in The American Mathematical Monthly. 700
Volume 129, Number 8, September 2022
- Daniel H. Ullman, Paul Zeitz:
The Eighty-Second William Lowell Putnam Mathematical Competition. 703-716 - Jonathan Cohen, Alan Roche:
Which Finite Rings Have the Most or Fewest Units? 717-733 - Lorenzo David:
The Binomial Coefficient as an (In)finite Sum of Sinc Functions. 734-742 - Vadim Ponomarenko:
100 Years Ago This Month in The American Mathematical Monthly. 742 - Mark B. Villarino:
Legendre's Singular Modulus. 743-761 - Simon Demers:
You Probably Won't Believe It, But 3(1+φ - φ-1) = 3! 762 - Konrad Deka, Marin Varivoda:
Convexity of Chebyshev Sets Revisited. 763-774 - Bryan Park:
An Elementary Derivation of Finite Cotangent Sums. 775-780 - Julian Rosen:
How to Tee a Hyperplane. 781-784 - André Pierro de Camargo:
A Short Proof for the Volume of Square Pyramids. 784 - Daniel H. Ullman, Daniel J. Velleman, Stan Wagon, Douglas B. West:
Problems and Solutions. 785-794 - Clayton Shonkwiler:
Visual Differential Geometry and Forms: A Mathematical Drama in Five Acts: By Tristan Needham, Princeton University Press, Princeton, NJ, 2021. 795-800
Volume 129, Number 9, October 2022
- John Stillwell:
My Friend Abe Shenitzer. 803-804 - Robert Dougherty-Bliss:
Integral Recurrences from A to Z. 805-815 - Tongtong Chen, Edward R. Scheinerman:
Finding a Compositional Square Root of Sine. 816-830 - Satvik Singh:
A Brief Discourse on Hausdorff Dimension and Self-similarity. 831-845 - Eric Rowland:
Lucas' Theorem Modulo p2. 846-855 - Mario Ponce:
Reflections on Equidistant Sets. 856-864 - Edward Huynh:
A Second Raabe's Test and Other Series Tests. 865-875 - Alexandru Tupan:
On the Complex Descartes Circle Theorem. 876-879 - Vadim Ponomarenko:
100 Years Ago This Month in The American Mathematical Monthly. 879 - Iosif Pinelis:
Large Deviations Of Sums Mainly Due To Just One Summand. 880-884 - Kieran Hilmer, Ron Lycan, Vadim Ponomarenko:
Odds Inversion Problem With Replacement. 885 - Daniel H. Ullman, Daniel J. Velleman, Stan Wagon, Douglas B. West:
Problems and Solutions. 886-895 - Darren B. Glass:
Reviews. 896-900
Volume 129, Number 10, November 2022
- Alex Rice:
Reciprocal Sums and Counting Functions. 903-912 - Reza Farhadian:
More on the Cauchy-Schwarz Inequality. 912 - William Geller, Michal Misiurewicz:
Travel in an Infinite Desert. 913-923 - Reza Farhadian, Vadim Ponomarenko:
Summation Using an Expected Value Identity. 923 - Helene R. Tyler:
A Friendly Introduction to Path Algebras and Quiver Representations. 924-932 - Nikhil Henry Bukowski Sahoo:
Extremal Values of Pi. 933-951 - Rajesh Sharma, Manish Pal:
Regular Polygons and Central Moments. 951 - William Cocke, I. M. Isaacs, Ryan McCulloch:
Chains of Normalizers of Subnormal Subgroups. 952-961 - Adam W. Marcus:
A Determinantal Identity for the Permanent of a Rank 2 Matrix. 962-971 - V. P. Ramesh, M. Makeshwari:
Least Primitive Root of any Safe Prime is Prime. 971 - Nicolas Curien:
Yet Another Proof of the Strong Law of Large Numbers. 972-974 - Josué Tonelli-Cueto:
A Geometric Summation of the Geometric Series. 974 - Quang Hung Tran:
A Napoleon-like Theorem for Quadrilaterals. 975-978 - Vadim Ponomarenko:
100 Years Ago This Month in The American Mathematical Monthly. 978 - Jim Barthel, Volker Müller:
A Conjecture on Primes in Arithmetic Progressions and Geometric Intervals. 979-983 - Boris Hasselblatt:
Laws of Exponents by Differentiation. 984 - Daniel H. Ullman, Daniel J. Velleman, Stan Wagon, Douglas B. West:
Problems and Solutions. 985-994 - Candice R. Price:
Encyclopedia of Knot Theory: Edited by Colin Adams, Erica Flapan, Allison Henrich, Louis H. Kauffman, Lewis D. Ludwig, & Sam Nelson. Chapman and Hall/CRC Press, Boca Raton, FL, 2020. ISBN 978-1138297845. 995-999 - Della Dumbaugh:
Editor's Endnotes. 1000
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