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The American Mathematical Monthly, Volume 128
Volume 128, Number 1, 2021
- Susan Jane Colley:
Letter from the Editor. 3
- Michael Engen, Vincent Vatter
:
Containing All Permutations. 4-24 - Joshua P. Bowman
Geometry and Algebra of the Deltoid Map. 25-39
- Paul Pollack, Enrique Treviño:
Sums of Proper Powers. 40
- Luca Brandolini
Pick's Theorem and Convergence of Multiple Fourier Series. 41-49 - David Lowry-Duda
Perturbing the Mean Value Theorem: Implicit Functions, the Morse Lemma, and Beyond. 50-61
- Vadim Ponomarenko:
100 Years Ago This Month in The American Mathematical Monthly. 61
- Robert F. Brown:
A Good Question Won't Go Away: An Example of Mathematical Research. 62-68
- Surinder Pal Singh Kainth
Perfect Metric Spaces of Increasingly Large Cardinality. 69
- Daniel A. Klain:
A Probabilistic Proof of the Spherical Excess Formula. 70-72 - Xiaomin Chen
Foster, Turán, and Neighbors. 73-78
- Josh Hiller:
Fibonacci's Bunny-pocalypse! 78
- Erel Segal-Halevi, Warut Suksompong:
How to Cut a Cake Fairly: A Generalization to Groups. 79-83 - Przemyslaw Górka:
Separability of a Metric Space Is Equivalent to the Existence of a Borel Measure. 84-86
- Hùng Viêt Chu:
What's Special about the Perfect Number 6? 87
- Daniel H. Ullman, Daniel J. Velleman, Douglas B. West:
Problems and Solutions. 88-96
Volume 128, Number 2, 2021
- Sonya Flaten, Paul D. Humke, Emily Olson, Thong Vo:
Delicate Details of Filling Space. 99-114 - Ian Thompson
Analysis of Series and Products. Part 1: The Euler-Maclaurin Formula. 115-124 - Juan Tolosa
Length-Preserving Directions and Some Diophantine Equations. 125-139
- Vadim Ponomarenko
100 Years Ago This Month in The American Mathematical Monthly. 139
- Robert K. Moniot
Solution of an Odds Inversion Problem. 140-149
- Reza Farhadian
A Cauchy-Schwarz Type Inequality for Differences. 150
- Ben Nagy
(Re)constructing Code Loops. 151-161
- Ángel Plaza
Exponential Inequalities and Corollaries. 162
- Eric L. Grinberg
Morley Trisectors and the Law of Sines with Reflections. 163-167 - Dorin Andrica, Sorin Radulescu, George C. Turcas
On the Automorphism Group of Direct Products of Groups with Finite Exponent. 168-173 - Hongjian Li, Pingzhi Yuan, Hairong Bai:
Positive Rational Numbers of the Form φ ( m 2 ) / φ ( n 2 ). 174-176
- Matthew A. Niemiro
The Natural Logarithm Modulo 2. 177
- Daniel H. Ullman, Daniel J. Velleman, Douglas B. West:
Problems and Solutions. 178-186
- Darren B. Glass, Béla Bajnok, Carolyn Yackel, Edray Goins, Jenna P. Carpenter, Stephen Kennedy, Jeanette Shakalli, Ursula Whitcher, Dave Kung, Kathryn Kozak, Robert Ghrist, Andrew Gelman:
Reviews. 187-192
Volume 128, Number 3, 2021
- Nancy Ann Neudauer, Tevian Dray
Yeuh-Gin Gung and Dr. Charles Y. Hu Award for 2021 to Deanna Haunsperger for Distinguished Service. 195-197
- Ian Thompson
Analysis of Series and Products. Part 2: The Trapezoidal Rule. 198-213
- Vadim Ponomarenko
100 Years Ago This Month in The American Mathematical Monthly. 213
- Jan E. Holly
Morikawa's Unsolved Problem. 214-237
- Stephan Ramon Garcia
Composites in the Ulam Spiral. 238
- Alexander Stasinski
A Uniform Proof of the Finiteness of the Class Group of a Global Field. 239-249
- Howard L. Ritter Jr.:
A Pi in the Face of Tau. 249
- Christian Elsholtz
Fermat's Last Theorem Implies Euclid's Infinitude of Primes. 250-257 - Arnold T. Saunders
Bar Bets and Generating Functions: The Distribution of the Separation of Two Distinct Card Ranks. 258-264
- Frederick K. Dashiell Jr.:
Countable Metric Spaces Without Isolated Points. 265-267 - Hùng Viêt Chu:
On Arithmetic Progressions of Powers in Cyclotomic Polynomials. 268-272 - David M. Bradley
Note on Dirichlet's Sinc Integral. 273-274
- George Stoica:
Widder-style Real Analytic Functions. 275
- Daniel H. Ullman, Daniel J. Velleman, Douglas B. West:
Problems and Solutions. 276-284
- Margaret Reese:
Reviews. 285-288
Volume 128, Number 4, 2021
- William Dunham:
Euler and the Cubic Basel Problem. 291-301 - Scott T. Chapman, Felix Gotti
When Is a Puiseux Monoid Atomic? 302-321 - Aaron Melman
Zero Exclusion Sectors for Some Polynomials with Structured Coefficients. 322-336
- J. J. Bissell
Complex Numbers as Real Continued Fractions. 336
- Jacqueline Anderson, Brian Camara, John Pike:
Positional Voting and Doubly Stochastic Matrices. 337-351
- Vadim Ponomarenko
100 Years Ago This Month in The American Mathematical Monthly. 351
- Richard H. Hammack, Paul C. Kainen:
A New View of Hypercube Genus. 352-359 - Jacques Boulanger
An Elementary Proof of the Two-Generator Property for the Ring of Integer-Valued Polynomials. 360-366
- Vilmos Komornik, Reinhard Schäfke
Leibniz, Newton, and Cauchy: A Complex Relationship. 367-369 - Mark Levi, Tadashi Tokieda:
A Communicating-Vessels Proof of Hölder's Inequality. 370 - Tom Leinster:
The Probability That an Operator Is Nilpotent. 371-375
- Daniel H. Ullman, Daniel J. Velleman, Douglas B. West:
Problems and solutions. 376-384
Volume 128, Number 5, 2021
- Julie Rowlett
Crystallographic Groups, Strictly Tessellating Polytopes, and Analytic Eigenfunctions. 387-406 - Sarah Bockting-Conrad, Yevgenia Kashina, T. Kyle Petersen, Bridget Eileen Tenner:
Sós Permutations. 407-422
- Vadim Ponomarenko:
100 Years Ago This Month in The American Mathematical Monthly. 422
- Andrzej Komisarski
Nontransitive Random Variables and Nontransitive Dice. 423-434 - Dov Samet:
An Extension of Ceva's Theorem to n-Simplices. 435-445 - Ignacio Bajo
Computing Moore-Penrose Inverses with Polynomials in Matrices. 446-456
- Aaron Crenshaw, Dalibor Froncek:
Box-Object Redistribution Problem. 456
- Lubica Holá:
There are 2c Quasicontinuous Non-Lebesgue Measurable Functions. 457-460 - Frantisek Marko
A Note on the Geometry of Figurate Numbers. 461-463 - David Conlon
Extremal Numbers of Cycles Revisited. 464-466
- Daniel H. Ullman, Daniel J. Velleman, Douglas B. West:
Problems and Solutions. 467-475
- David Nacin:
Reviews. 476-478
- Susan Jane Colley:
Editor's Endnotes. 479-480
Volume 128, Number 6, 2021
- Bruce E. Sagan, Vincent Vatter
Bijective Proofs of Proper Coloring Theorems. 483-499
- Vadim Ponomarenko
100 Years Ago This Month in The American Mathematical Monthly. 499
- Andrew J. Simoson:
Ford Circles Strike Gold. 500-512 - Cara D. Brooks, Alberto A. Condori, Nicholas Seguin:
Polynomially Isometric Matrices in Low Dimensions. 513-524
- Vadim Ponomarenko
Grades Are Not Money. 524
- William Johnston, Chloe M. Makdad:
A Comparison of Norms: Bicomplex Root and Ratio Tests and an Extension Theorem. 525-533 - András Bezdek
Cubes and Boxes Have Rupert's Passages in Every Nontrivial Direction. 534-542 - Imre Bárány, Peter Frankl:
How (Not) to Cut Your Cheese. 543-552
- Edward Coto Mora, Francesco Viganò:
169 and Sums of Positive Squares. 553
- Paul Pollack, Noah Snyder
A Quick Route to Unique Factorization in Quadratic Orders. 554-558 - Paolo Leonetti
A Characterization of Cesàro Convergence. 559-562
- Daniel H. Ullman, Daniel J. Velleman, Douglas B. West:
Problems and Solutions. 563-571
- Debra K. Borkovitz:
x + y: A Mathematician's Manifesto for Rethinking Gender. 572-576
Volume 128, Number 7, 2021
- Christopher N. B. Hammond, Edward Omey
A Second Look at the Second Ratio Test. 579-596
- Robert Dawson:
The Digital Rubáiyát. 597
- Jeff Witmer:
Simpson's Paradox, Visual Displays, and Causal Diagrams. 598-610 - Jan E. Holly
What Type of Apollonian Circle Packing Will Appear? 611-629 - Asaf Shapira, Mykhaylo Tyomkyn
Quasirandom Graphs and the Pantograph Equation. 630-639
- The Paul R. Halmos-Lester R. Ford Awards for 2020. 639
- Yusuf Z. Gürtas:
Discriminants of Quadratics Generalized. 640-647
- Vadim Ponomarenko:
100 Years Ago This Month in The American Mathematical Monthly. 647
- Hyounggyu Choi, Kyeonghoon Jeong:
Concurrence of Three Area-Bisecting Cevians of a Triangle in Three Geometries. 648-651 - Luca Studer:
An Asymptotic Version of Frankl's Conjecture. 652-654 - Pablo Amster
The Power of the Half Power. 655-657
- Daniel H. Ullman, Daniel J. Velleman, Douglas B. West:
Problems and solutions. 658-666
- Neil J. Calkin
Reviews. 667-672
Volume 128, Number 8, 2021
- Mark Krusemeyer, Daniel H. Ullman, Paul Zeitz:
The Eighty-First William Lowell Putnam Mathematical Competition. 675-686
- Dominic Klyve, Erik R. Tou
A Prime Testing Algorithm from Leonhard Euler. 687-700 - Vitaly Bergelson, Andrew Best, Alex Iosevich:
Sums of Powers in Large Finite Fields: A Mix of Methods. 701-718 - Bryan J. Freyberg:
March Madness Magic: Constructing a Tournament with a Magic Cube. 719-725 - Tomer Moran, Shay Moran, Shlomo Moran:
Elementary Derivations of the Euclidean Hurwitz Algebras Adapted from Gadi Moran's last paper. 726-736 - Alin Bostan, Fernando Chamizo, Mikael Persson Sundqvist:
On an Integral Identity. 737-743
- Vadim Ponomarenko:
100 Years Ago This Month in The American Mathematical Monthly. 743
- Asaf Cohen Antonir, Asaf Shapira:
On Erdős's Method for Bounding the Partition Function. 744-747 - Hannah Cairns
Perron's Theorem in an Hour. 748-752 - Steven H. Weintraub:
The Theorem of the Primitive Element. 753-754
- Daniel H. Ullman, Daniel J. Velleman, Douglas B. West:
Problems and Solutions. 755-763
- Justin Corvino:
Curvature of Space and Time, with an Introduction to Geometric Analysis. 764-768
Volume 128, Number 9, 2021
- David H. Bailey, Scott Chapman:
Introduction to the Special Issue. 772
- David H. Bailey
Jonathan Borwein: Renaissance Mathematician. 773-779 - Karl Dilcher
Analytic Continuations of Character and Alternating Tornheim Zeta Functions. 780-795 - Heinz H. Bauschke, Sylvain Gretchko, Walaa M. Moursi, Matthew Saurette:
Edelstein's Astonishing Affine Isometry. 796-809
- George Stoica, Yousef Wardat
An Inequality Can Change Everything... 810
- Marc Chamberland, Armin Straub
Apéry Limits: Experiments and Proofs. 811-824 - Marcos López de Prado
The False Strategy Theorem: A Financial Application of Experimental Mathematics. 825-831 - Veselin Jungic, Andrijana Burazin
On Experimental Mathematics and Mathematics Education. 832-844 - Neil J. Calkin
What Newton Might Have Known: Experimental Mathematics in the Classroom. 845-855
- Vadim Ponomarenko:
100 Years Ago This Month in The American Mathematical Monthly. 855
- Daniel H. Ullman, Daniel J. Velleman, Douglas B. West:
Problems and Solutions. 856-864
Volume 128, Number 10, November 2021
- Susan Jane Colley:
Letter from the Editor. 867 - Ryan Alvarado
The Game of Cycles. 868-887 - Melvyn B. Nathanson
Sums of Finite Sets of Integers, II. 888-896 - Li Zhou:
Area Division of the Yellow Brick Road on the Regular Dodecahedron. 897 - Ronaldo Garcia, Dan Reznik, Jair Koiller:
New Properties of Triangular Orbits in Elliptic Billiards. 898-910 - Robert Dawson, Pietro Milici
Gardener's Hyperbolas and the Dragged-Point Principle. 911-921 - Vadim Ponomarenko
Pollock's Generalized Tetrahedral Numbers Conjecture. 921 - Juan Luis Varona
A Couple of Transcendental Prime-Representing Constants. 922-928 - Claire Burrin
Infinitely Many Twin Prime Polynomials of Odd Degree. 929-935 - Paul J. Campbell:
Much Virtue in "If". 936 - Prapanpong Pongsriiam
Arithmetic Progressions in the Values of a Quadratic Polynomial. 937-941 - Hojjat Farzadfard
The Fundamental Theorem of Algebra Via Newton's Identities. 942-945 - Daniel H. Ullman, Daniel J. Velleman, Douglas B. West:
Problems and Solutions. 946-954 - Bruce Torrence:
Tessellations: Mathematics, Art, and Recreation: By Robert Fathauer. A K Peters/CRC Press, Boca Raton, FL, 2020. 464 pp., ISBN 978-0367185978. 955-959 - Editor's Endnotes. 960
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