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ORCIDThe American Mathematical Monthly, Volume 124
Volume 124, Number 1, 2017
- Editorial Board.
- Susan Jane Colley:
Letter from the Editor. 3
- Ryan Blair, Marion Campisi, Jesse Johnson, Scott A. Taylor, Maggy Tomova:
Neighbors of Knots in the Gordian Graph. 4-23 - Robert J. Vanderbei:
The Falling Slinky. 24-36 - Antonio Cafure, Eda Cesaratto:
Irreducibility Criteria for Reciprocal Polynomials and Applications. 37-53 - Joseph A. Gallian:
Seventy-Five Years of the Putnam Mathematical Competition. 54-59 - Saveliy Ustuzhanin:
A Novel Way to Prove the Irrationality of. 59 - Nicolae Anghel:
On a 2015 Putnam Problem Related to a Double Recursion. 60-69
- Ian Stewart:
Why Do All Triangles Form a Triangle? 70-73 - Cezar Lupu:
A New Proof of the Finsler-Hadwiger Inequality. 73 - Yusuf Z. Gürtas:
Chebyshev Polynomials and the Minimal Polynomial of cos(2π/n). 74-78 - Eli Shamir, Benny Sudakov:
Two-Sided, Unbiased Version of Hall's Marriage Theorem. 79-80 - Bart van Munster:
Hausdorffization and Homotopy. 81-82
- Problems and Solutions. 83-91
- Jason Rosenhouse:
Reviews. 92-95
Volume 124, Number 2, 2017
- Editorial Board.
- Annalisa Crannell, Marc Frantz, Fumiko Futamura:
The Image of a Square. 99-115 - Allen Stenger:
Experimental Math for Math Monthly Problems. 116-131 - Michael Maltenfort:
Characterizing Additive Systems. 132-148 - Bisharah Libbus, Gordon Simons, Yi-Ching Yao:
Rotating Multiple Sets of Labeled Points to Bring Them Into Close Coincidence: A Generalized Wahba Problem. 149-160
- Scott Ginebaugh:
Generalized Infinite Products for Powers of e1/k. 161-165 - Christian Aebi, Grant Cairns:
Sums of Quadratic Residues and Nonresidues. 166-169 - Idris Mercer:
Another Proof That There Are Infinitely Many Primes. 169 - Chatchawan Panraksa, Pornrat Ruengrot:
A Note on Average of Roots of Unity. 170-174 - Charles Audet:
Maximal Area of Equilateral Small Polygons. 175-178
- Problems and Solutions. 179-187
- Jason Rosenhouse, Alan Baker:
Reviews. 188-192
Volume 124, Number 3, 2017
- Editorial Board.
- Annalisa Crannell, Doug Ensley:
Yueh-Gin Gung and Dr. Charles Y. Hu Award for 2017 to Martha Siegel for Distinguished Service to Mathematics. 195-197 - Pete L. Clark:
The Euclidean Criterion for Irreducibles. 198-216 - Joseph Bak, Strashimir G. Popvassilev:
The Evolution of Cauchy's Closed Curve Theorem and Newman's Simple Proof. 217-231 - Jonathan Sondow, Kieren MacMillan:
Primary Pseudoperfect Numbers, Arithmetic Progressions, and the Erdős-Moser Equation. 232-240 - Koji Momihara, Masashi Shinohara:
Distance Sets on Circles. 241-254
- Michael Weiss:
Where Are the Rational Squares? 255-259 - Shubhodip Mondal:
Surjectivity of Maps Induced on Matrices by Polynomials and Entire Functions. 260-264 - Dirk Huylebrouck:
A New Regular (Compound) Polyhedron (of Infinite Kepler-Poinsot Type). 265-268 - Joseph Plante:
A Proof of Bonnet's Version of the Mean Value Theorem by Methods of Cauchy. 269-273
- Problems and Solutions. 274-281
- Jason Rosenhouse, Dominic Lanphier:
Reviews. 282-288
Volume 124, Number 4, 2017
- Editorial Board.
- Paul E. Becker, Martin Derka, Sheridan K. Houghten, Jennifer Ulrich:
Build a Sporadic Group in Your Basement. 291-305 - John P. Boyd, Houjun Wang:
Convergent Power Series for Boundary Value Problems and Eigenproblems with Application to Atmospheric and Oceanic Tides. 306-323 - Arno Berger:
More Grade School Triangles. 324-336 - Hiroshi Maehara, Horst Martini:
On Lexell's Theorem. 337-344 - Antonio Avilés, Grzegorz Plebanek:
A Little Ado about Rectangles. 345-350
- Trevor D. Wooley:
A Superpowered Euclidean Prime Generator. 351-352 - Carl McTague:
On the Greatest Common Divisor of Binomial Coefficients. 353-356 - Mehtaab S. Sawhney:
A Telescoping Proof of the AM-GM Inequality. 356 - David E. Speyer:
A Counting Proof of a Theorem of Frobenius. 357-359 - Evelyn R. Easdale, Jolene E. Fleming, Bogdan D. Suceava:
Convergence for Series With Terms Defined by a Recurrence Relation. 360-364 - Christian Elsholtz:
Golomb's Conjecture on Prime Gaps. 365-368
- Problems and Solutions. 369-378
- Jason Rosenhouse, Marion Cohen:
Reviews. 379-383
Volume 124, Number 5, 2017
- Editorial Board.
- Maria Deijfen, Alexander E. Holroyd, James B. Martin:
Friendly Frogs, Stable Marriage, and the Magic of Invariance. 387-402 - Juan Monterde, David Rochera:
Holditch's Ellipse Unveiled. 403-421 - Frantisek Marko, Semyon N. Litvinov:
On the Steiner-Routh Theorem for Simplices. 422-435 - Marek Balcerzak, Michal Poplawski, Julia Wódka:
Local Extrema and Nonopenness Points of Continuous Functions. 436-443
- Jeremiah Farrell, William Johnston:
Mathematical Evolution. 444-445
- Péter E. Frenkel, József Pelikán:
On the Greatest Common Divisor of the Value of Two Polynomials. 446-450 - Valerio De Angelis:
The Stern Diatomic Sequence via Generalized Chebyshev Polynomials. 451-455 - Melvyn B. Nathanson:
Subalgebras of a Polynomial Ring That Are Not Finitely Generated. 456-458 - Beniamin Bogosel:
A Geometric Proof of the Siebeck-Marden Theorem. 459-463 - Haryono Tandra:
A More Direct Proof of the Extreme Value Theorem. 464
- Problems and Solutions. 465-474
- Jason Rosenhouse, Reuben Hersh:
Reviews. 475-478
- Solution to Mathematical Evolution. 479
- Susan Jane Colley:
Editor's Endnotes. 480
Volume 124, Number 6, 2017
- Editorial Board.
- Francis Edward Su:
Mathematics for Human Flourishing. 483-493 - Andrey Kupavskii, János Pach:
From Tarski's Plank Problem to Simultaneous Approximation. 494-505 - David Aldous, Weijian Han:
Introducing Nash Equilibria via an Online Casual Game That People Actually Play. 506-517 - Grant Cairns
:
Equitable Candy Sharing. 518-526 - Finbarr Holland:
On the Limiting Behavior of Solutions of Linear Difference Equations. 527-534 - Paul Carter, David Lowry-Duda:
On Functions Whose Mean Value Abscissas Are Midpoints, with Connections to Harmonic Functions. 535-542
- Darren B. Glass:
Klein Four Actions on Graphs and Sets. 543-547 - Mikhail A. Patrakeev:
Dissection of an Equilateral Triangle Into Five Congruent Open Sets. 547 - Heinrich Steinlein:
Fermat's Little Theorem and Gauss Congruence: Matrix Versions and Cyclic Permutations. 548-553 - Mircea Merca:
The Riemann Zeta Function With Even Arguments as Sums Over Integer Partitions. 554-557 - Lee K. Jones:
An Elementary Derivation of the Numerical Integration Bounds in Beginning Calculus. 558-561 - Romeo Mestrovic:
A Very Short Proof of the Infinitude of Primes. 562
- Problems and Solutions. 563-571
- Jason Rosenhouse, Jeffrey Nunemacher:
Reviews. 572-575
Volume 124, Number 7, 2017
- Editorial Board.
- Peter Winkler:
The Sleeping Beauty Controversy. 579-587 - Arseniy Akopyan, Vladislav Vysotsky:
On the Lengths of Curves Passing Through Boundary Points of a Planar Convex Shape. 588-596 - Moa Apagodu, Doron Zeilberger:
Using the "Freshman's Dream" to Prove Combinatorial Congruences. 597-608 - Philip P. West, Brian D. Sittinger:
A Further Stroll into the Eisenstein Primes. 609-620 - John C. Bowers, Philip L. Bowers:
A Menger Redux: Embedding Metric Spaces Isometrically in Euclidean Space. 621-636
- David A. Levin, Yuval Peres:
Counting Walks and Graph Homomorphisms via Markov Chains and Importance Sampling. 637-641 - Dominic Klyve:
The Other Moore Method. 641 - Christian Axler, Thomas Leßmann:
On the First k-Ramanujan Prime. 642-646 - Amrik Singh Nimbran:
An Infinite Product for the Square Root of an Integer. 647-650 - Tomasz Kania:
On Bases That Are Closed Under Multiplication. 651-653 - Óscar Ciaurri:
Maria Gaetana Agnesi Meets Johannes Kepler. 654-657 - Jitender Singh:
Another Proof of the Binomial Theorem. 658
- Problems and Solutions. 659-666
- Jason Rosenhouse, Calvin Jongsma:
Reviews. 667-672
Volume 124, Number 8, 2017
- Editorial Board.
- Leonard F. Klosinski, Gerald L. Alexanderson, Mark Krusemeyer:
The Seventy-Seventh William Lowell Putnam Mathematical Competition. 675-687 - Soham Basu, Daniel J. Velleman:
On Gauss's First Proof of the Fundamental Theorem of Algebra. 688-694 - Bernd C. Kellner, Jonathan Sondow:
Power-Sum Denominators. 695-709 - Hugo Parlier, Samuel Zappa:
Distances in Domino Flip Graphs. 710-722 - Stephan Ramon Garcia:
Linearly Independent Spanning Sets. 722 - Ulrich Abel, Linda Beukemann, Vitaliy Kushnirevych:
Rolling Curves: An Old Proof of the Roulette Lemma. 723-736
- David J. Platt, Timothy S. Trudgian:
On the Sum of Two Squares and At Most Two Powers of 2. 737-740 - Jens Marklof, Andreas Strömbergsson:
The Three Gap Theorem and the Space of Lattices. 741-745 - Zoltán Kánnai:
A One-to-One Popcorn Function. 746-748 - Stasys Jukna:
Minkowski Complexity of Sets: An Easy Lower Bound. 749-753
- Problems and Solutions. 754-762
- Jason Rosenhouse, Peter Winkler:
Reviews. 763-768
Volume 124, Number 9, 2017
- Editorial Board.
- Scott T. Chapman, Joseph A. Gallian:
From the Guest Editors. 771
- About the Cover. 772
- Paul-Jean Cahen, Jean-Luc Chabert, Kiran S. Kedlaya:
Bhargava's Early Work: The Genesis of P-Orderings. 773-790 - Colin Adams:
Turning Knots into Flowers and Related Undergraduate Research. 791-806 - Cesar E. Silva:
On Mixing-Like Notions in Infinite Measure. 807-825
- Adrian Chun Pong Chu:
Dihedral Angle of the Regular n-Simplex via Menelaus' Theorem. 826
- Yufei Zhao:
Extremal Regular Graphs: Independent Sets and Graph Homomorphisms. 827-843 - Rishi Nath:
Advances in the Theory of Cores and Simultaneous Core Partitions. 844-861 - Nathan Kaplan:
Counting Numerical Semigroups. 862-875 - Carlos Castillo-Chavez, Christopher Kribs, Benjamin Morin:
Student-Driven Research at the Mathematical and Theoretical Biology Institute. 876-892
Volume 124, Number 10, 2017
- Editorial Board.
- Peter Frankl, Amram Meir, János Pach:
Decomposition of a Cube into Nearly Equal Smaller Cubes. 895-904 - Michael F. Barnsley, Andrew Vince:
Self-Similar Polygonal Tiling. 905-921 - Emmanuel Tsukerman, Ellen Veomett:
Brunn-Minkowski Theory and Cauchy's Surface Area Formula. 922-929 - Yann Bugeaud, Andrej Dujella, Tomislav Pejkovic, Bruno Salvy:
Absolute Real Root Separation. 930-936 - Martin Kreh:
"Lights Out" and Variants. 937-950
- Andrew Granville:
Squares in Arithmetic Progressions and Infinitely Many Primes. 951-954 - Joshua Cooper, Anton Swifton:
Throwing a Ball as Far as Possible, Revisited. 955-959 - Sunil K. Chebolu, Keir Lockridge:
How Many Units Can a Commutative Ring Have? 960-965 - Jenö Szigeti, Leon van Wyk:
A Constructive Elementary Proof of the Skolem-Noether Theorem for Matrix Algebras. 966-968
- Umberto Cerruti, Nadir Murru:
If the Primes are Finite, Then All of Them Divide the Number One. 969
- Problems and Solutions. 970-978
- Jason Rosenhouse, Evelyn Lamb:
From Music to Mathematics: Exploring the Connections. By Gareth E. Roberts. 979-982
- Susan Jane Colley:
Editor's Endnotes. 983-985 - Monthly Referees For 2017. 986-988
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