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    Journal: The American Mathematical Monthly

    Volume 115, Issue 9

    775 -- 794Steven G. Krantz. Complex Analysis as Catalyst
    795 -- 812Tom M. Apostol, Mamikon A. Mnatsakanian. New Descriptions of Conics via Twisted Cylinders, Focal Disks, and Directors
    813 -- 819William W. Hackborn. Projectile Motion: Resistance Is Fertile
    820 -- 836Eugen J. Ionascu, Dan Pritikin, Stephen E. Wright. k-Dependence and Domination in Kings Graphs
    837 -- 843Ed Scheinerman, Christian Blatter. Four Shots for a Convex Quadrilateral
    844 -- 845Reinhard Michel. The (n + 1)th Proof of Stirling's Formula
    845 -- 850Bent Fuglede. A Sharpening of Wielandt's Characterization of the Gamma Function
    850 -- 854Jesús Guillera. Easy Proofs of Some Borwein Algorithms for π
    855 -- 0Omran Kouba. Problem 11392
    855 -- 0Jeffrey C. Lagarias. Problem 11390
    855 -- 0Marian Tetiva. Problem 11391
    856 -- 0Gérard Letac. Problem 11396
    856 -- 0M. Farrokhi. Problem 11395
    856 -- 0K. S. Bhanu. Problem 11394
    856 -- 0Cosmin Pohoata. Problem 11393
    856 -- 857Gregory Keselman, Aleksandar Ilic, O. P. Lossers. Generalizing (1 - 1)ⁿ = 0: 11230
    857 -- 858Michel Bataille, John W. Hagood. If AB Preserves A, then BA Preserves B: 11239
    858 -- 859Roberto Tauraso, O. P. Lossers. Fibonacci Numbers and Tilling a Board with Cuts: 11241
    859 -- 860David Beckwith, Michael Avidon, Li Zhou. "The Ballot Problem in Disguise", in Disguise: 11249
    860 -- 861David Beckwith, Michel Bataille. A Permanent Lower Bound: 11253
    861 -- 0Lenny Jones, Toni Ernvall. Primes with Special Primitive Roots: 11254
    862 -- 0Ashay Burungale, Kenneth Schilling, Christopher Carl Heckman. Getting to Know You, Directly and Indirectly: 11262
    862 -- 0Nobuhisa Abe, Marian Tetiva. Never a Square: 11259
    863 -- 866Peter Duren. Princeton Lectures in Analysis by Elias M. Stein; Rami Shakarchi

    Volume 115, Issue 8

    679 -- 689David Minda, Steve Phelps. Triangles, Ellipses, and Cubic Polynomials
    690 -- 700Remi Langevin, Pewel G. Walczak. Holomorphic Maps and Pencils of Circles
    701 -- 728Andrew Bashelor, Amy Ksir, Will Traves. Enumerative Algebraic Geometry of Conics
    729 -- 739Leonard F. Klosinski, Gerald L. Alexanderson, Loren C. Larson. The Sixty-Eighth William Lowell Putnam Mathematical Competition
    740 -- 745Steven J. Miller. A Probabilistic Proof of Wallis's Formula for π
    745 -- 752Mikael Passare. 2 by Solving Triangles
    753 -- 756Remco van der Hofstad, Michael Keane. An Elementary Proof of the Hitting Time Theorem
    757 -- 0Moubinool Omarjee. Problem 11384
    757 -- 0José Luis Díaz-Barrero. Problem 11385
    757 -- 0Greg Markowsky. Problem 11386
    757 -- 0Michael Nyblom. Problem 11383
    758 -- 0Elizabeth R. Chen, Jeffrey C. Lagarias. Problem 11389
    758 -- 759Prithwijit De, E. Omey. Recalling 11159 and Sixty-Sixth Putnam A5: 11277
    758 -- 0M. Farrokhi. Problem 11388
    758 -- 0Oskar Maria Baksalary. Problem 11387
    759 -- 760Vitaly Stakhovsky. Sliding Beads: 11279
    759 -- 0Slavko Simic, John H. Lindsey II. Entire Limit: 11278
    760 -- 761Harris Kwong, et al.. What We Mean, Not What We Say: 11280
    761 -- 762Yakub N. Aliyev, Apostolis Demis, et al.. A Triangular Result: 11285
    762 -- 764Stephen J. Herschkorn, et al.. Continuous Blackjack: 11287
    764 -- 0Oleh Faynshteyn, Marian Tetival. Formulas Involving the Angles of a Triangle: 11289
    765 -- 768Daniel T. Kaplan. Google's PageRank and Beyond: The Science of Search Engine Rankings by Amy N. Langville; Carl D. Meyer
    769 -- 770Jeffrey C. Lagarias, Colin L. Mallows, Allan R. Wilks, Daniel J. Velleman. Editor's Endnotes

    Volume 115, Issue 7

    583 -- 595Wolfhard Hansen. A Strong Version of Liouville's Theorem
    596 -- 614Patrick D. McSwiggen, Kenneth R. Meyer. Conjugate Phase Portraits of Linear Systems
    615 -- 622Kenneth Hicks, Gary L. Mullen, Joseph L. Yucas, Ryan Zavislak. A Polynomial Analogue of the 3n + 1 Problem
    623 -- 644Mehrdad Khosravi, Michael D. Taylor. The Wedge Product and Analytic Geometry
    645 -- 648Stan Wagon, Peter Webb. Venn Symmetry and Prime Numbers: A Seductive Proof Revisited
    648 -- 652Harald Hanche-Olsen. On Goursat's Proof of Cauchy's Integral Theorem
    653 -- 660Arnaud Bodin. Number of Irreducible Polynomials in Several Variables over Finite Fields
    660 -- 663Stefan Schröer. Baer's Result: The Infinite Product of the Integers Has No Basis
    664 -- 0Christopher J. Hillar, Lionel Levine. Problem 11377
    664 -- 0Oskar Maria Baksalary, Götz Trenkler. Problem 11379
    664 -- 0Daniel Troy. Problem 11378
    664 -- 0Bogdan M. Baishanski. Problem 11376
    665 -- 0Hugh Montgomery, Harold S. Shapiro. Problem 11380
    665 -- 666Christopher J. Hillar, O. P. Lossers. A Group In Which Equations Are Solvable: 11231
    665 -- 0Roberto Tauraso. Problem 11382
    665 -- 0Jesús Guillera, Jonathan Sondow. Problem 11381
    666 -- 0Lenny Jones, Rachel Keller, Toni Ernvall, Anne-Maria Ernvall-Hytönen. A Special Prime: 11235
    666 -- 667Emeric Deutsch, John H. Smith, Albert Stadler. An Equality for Parts in Partitions of n: 11237
    667 -- 668Aviezri S. Fraenkel. Sequences Built from the Golden Ratio: 11238
    668 -- 670Donald E. Knuth, Robin Chapman, Reiner Martin. Perfect Parity Patterns: 11243
    670 -- 671Michael S. Becker, David Beckwith, Hongwei Chen. Double Integral with Log and Sinh: 11275
    671 -- 0Saïd Amghibech, Joanna Chachulska, Wojciech Matysiak. A Matrix Inequality: 11296
    672 -- 676Donald G. Saari. The Three Body Problem by Mauri Valtonen; Hannu Karrunen

    Volume 115, Issue 6

    479 -- 491Andrew M. Baxter, Ronald Umble. Periodic Orbits for Billiards on an Equilateral Triangle
    492 -- 498Niklas Eriksen. The Freshman's Approach to Conway's Napkin Problem
    499 -- 513Shlomo Engelberg. Edge Detection Using Fourier Coefficients
    514 -- 524Sayel A. Ali. The mth Ratio Test: New Convergence Tests for Series
    525 -- 540Thomas Schmelzer, Robert Baillie. Summing a Curious, Slowly Convergent Series
    541 -- 549Daniel Birmajer, Juan B. Gil. Arithmetic in the Ring of Formal Power Series with Integer Coefficients
    550 -- 551Wouter Castryck. A Shortened Classical Proof of the Quadratic Reciprocity Law
    551 -- 553Rajendra Bhatia, J. A. Dias da Silva. Infinite Divisibility of GCD Matrices
    553 -- 556Alexey Yu. Volovikov. Borsuk-Ulam Implies Brouwer: A Direct Construction Revisited
    556 -- 558George Koumoullis. On the Radon-Nikodym Theorem
    559 -- 562William M. Kantor. Cycles in Graphs and Groups
    563 -- 566Michael D. Hirschhorn. A Letter from Fitzroy House
    567 -- 0Michael Goldenberg, Mark Kaplan. Problem 11370
    567 -- 0Donald E. Knuth. Problem 11369
    567 -- 568Ovidiu Furdui. Problem 11371
    568 -- 0Harley Flanders, Hugh L. Montgomery. Problem 11374
    568 -- 569Syrous Marivani, et al.. Consecutive Squares with a Square Average: 11227
    568 -- 0Cezar Lupu. Problem 11375
    568 -- 0Jennifer Vandenbussche, Douglas B. West. Problem 11372
    568 -- 0Emeric Deutsch. Problem 11373
    569 -- 571Isaac Sofair, C. R. Pranesachar. Inscribed Triangle Area: 11261
    571 -- 573Hervé Moulin. A Combinatorial Inequality: 11269
    573 -- 574Vasile Mihai, Sin Hitotumatu. The Euler Line after All: 11272
    575 -- 578Jeffrey D. Vaaler. An Invitation to Modern Number Theory by Steven J. Miller; Bamin Takloo-Bighash

    Volume 115, Issue 5

    383 -- 404R. A. Bailey, Peter J. Cameron, Robert Connelly. Sudoku, Gerechte Designs, Resolutions, Affine Space, Spreads, Reguli, and Hamming Codes
    405 -- 414Josu Arroyo, Oscar J. Garay, José J. Mencía. When Is a Periodic Function the Curvature of a Closed Plane Curve?
    415 -- 430Hieu D. Nguyen. Rearing Its Ugly Head: The Cosmological Constant and Newton's Greatest Blunder
    431 -- 442Jasbir S. Chahal, Brian Osserman. The Riemann Hypothesis for Elliptic Curves
    443 -- 445Igor Pak. Inflating the Cube Without Stretching
    445 -- 447Robert Kantrowitz, Michael M. Neumann. Yet Another Proof of Minkowski's Inequality
    447 -- 451Kathy Q. Ji, Herbert S. Wilf. Extreme Palindromes
    451 -- 456Franklin Mendivil, Tara D. Taylor. Thin Sets with Fat Shadows: Projections of Cantor Sets
    456 -- 457Larry Eifler, Noah H. Rhee. The n-Dimensional Pythagorean Theorem via the Divergence Theorem
    458 -- 460Grzegorz Rzadkowski. Derivatives and Eulerian Numbers
    461 -- 0Oleh Faynshteyn. Problem 11363
    461 -- 462Pál Péter Dályay. Problem 11364
    461 -- 0David Callan. Problem 11362
    462 -- 0Wei-Dong Jiang. Problem 11368
    462 -- 0Nicolae Anghel. Problem 11366
    462 -- 464P. R. Parthasarathy. Generating Functions and Hypergeometric Series and Continued Fractions! 11198
    462 -- 0Andrew Cusumano. Problem 11367
    462 -- 0Aviezri S. Fraenkel. Problem 11365
    464 -- 465Ted Chinburg, Shahriar Shahriari, Reid Huntsinger. Groups, Rings, Fields, and Power Series: 11216
    465 -- 466Jonathan Sondow, et al.. An Infinite Product Based on a Base: 11222
    466 -- 467Dietrich Trenkler, Götz Trenkler, Patrick Corn. The Square Root of a Certain Matrix: 11224
    467 -- 468Cezar Lupu, Tudorel Lupu, Ronald A. Kopas. A New Bound for r/R: 11245
    468 -- 0Paolo Perfetti, Richard Stong. Evaluate the Series: 11260
    469 -- 473Ranjan Roy. Euler Through Time: A New Look at Old Themes by V. S. Varadarajan
    474 -- 476Mark E. Kidwell. King of Infinite Space: Donald Coxeter, the Man Who Saved Geometry by Siobhan Roberts

    Volume 115, Issue 4

    279 -- 296Andrew Granville. Prime Number Patterns
    297 -- 303Robert A. Agnew. Optimal Congressional Apportionment
    304 -- 329Steven G. Krantz. The Carathéodory and Kobayashi Metrics and Applications in Complex Analysis
    330 -- 338Dan Kalman. An Elementary Proof of Marden's Theorem
    339 -- 345Mihály Bessenyei. The Hermite-Hadamard Inequality on Simplices
    346 -- 349John P. Robertson, Keith R. Matthews. A Continued Fractions Approach to a Result of Feit
    350 -- 355Gerhard Larcher, Friedrich Pillichshammer. The Sum of Distances between Vertices of a Convex Polygon with Unit Perimeter
    355 -- 358Cayanne McFarlane, Wm. Douglas Withers. Dynamical Systems and Irrational Angle Construction by Paper-Folding
    358 -- 363Marc Renault. Lost (and Found) in Translation: André's Actual Method and Its Application to the Generalized Ballot Problem
    363 -- 364Amitabha Tripathi. On Sums of Positive Integers That Are Not of the Form ax + by
    365 -- 0Juan Monterde. Problem 11359
    365 -- 0Marian Tetiva. Problem 11358
    365 -- 0Mehmet Sahin. Problem 11357
    365 -- 366Cezar Lupu. Problem 11360
    365 -- 0Michael Poghosyan. Problem 11356
    365 -- 0Jeffrey C. Lagarias. Problem 11355
    366 -- 367Stanley Rabinowitz, et al.. Sometimes an Integer: 11213
    366 -- 0David Beckwith, Harris Kwong, Rob Pratt, Nicholas Singer. A Vanishing Alternating Sum: 11212/11220
    366 -- 0Finbarr Holland. Problem 11361
    367 -- 368Gary Gordon, Bruce S. Burdick. The Number between 1 and n That Is Least Prime: 11218
    368 -- 369Pál Péter Dályay, Jaime Vinuesa. A Romanian Olympiad Problem Generalized: 11248
    369 -- 370Slavko Simic, O. P. Lossers. A Symmetric Inequality: 11255
    370 -- 371Finbarr Holland, Michel Bataille. Perimeter by Integral: 11256
    371 -- 372Gregory Keselman, E. Leonard. A Choice Sum: 11263
    373 -- 378Leslie Hogben, Wolfgang Kliemann. Applied Linear Algebra by Peter J. Olver; Chehrzad Shakiban

    Volume 115, Issue 3

    183 -- 184Amy Cohen-Corwin. Yueh-Gin Gung and Dr. Charles Y. Hu Award for 2008 to Lida K. Barrett for Distinguished Service to Mathematics
    185 -- 194Fan Chung, Ron Graham. Primitive Juggling Sequences
    195 -- 201Jin Akiyama, Hiroshi Fukuda, Chie Nara, Toshinori Sakai, Jorge Urrutia. Universal Measuring Boxes with Triangular Bases
    202 -- 219Diego M. Benardete, V. W. Noonburg, B. Pollina. Qualitative Tools for Studying Periodic Solutions and Bifurcations as Applied to the Periodically Harvested Logistic Equation
    220 -- 236Lee W. Jacobi, Daniel J. Madden. 4
    237 -- 244Takashi Agoh, Karl Dilcher. Reciprocity Relations for Bernoulli Numbers
    245 -- 248Krassimir Penev. The Fubini Principle
    249 -- 252Franciszek Prus-Wisniowski. A Refinement of Raabe's Test
    252 -- 254Ayse Alaca, Saban Alaca, Kenneth S. Williams. Arithmetic Progressions and Binary Quadratic Forms
    254 -- 261Peter W. Saltzman, Pingzhi Yuan. On Sums of Consecutive Integral Roots
    262 -- 0Richard P. Stanley. Problem 11348
    262 -- 0Bhavana Deshpande, M. N. Deshpande. Problem 11350
    262 -- 0Cezar Lupu. Problem 11349
    262 -- 0Marian Tetiva. Problem 11351
    263 -- 0Daniel Reem. Problem 11352
    263 -- 0Matthias Beck, Alexander Berkovich. Problem 11354
    263 -- 0Ernst Schulte-Geers. Problem 11353
    263 -- 264Hans V. Gerber, Daniel Neuenschwander. Unsolved in 1990: 6576
    264 -- 265Gerd Herzog, Roland Lemmert. A Determinant Indentity: 11242
    265 -- 266Lee Goldstein. A Bessel Function Identity: 11246
    266 -- 267Sun Wen Cai, Vitaly Stakhovsky. Double Sum Inequality: 11250
    266 -- 0Jürgen Eckhoff, Li Zhou. A Strip Problem: 11247
    267 -- 268Marian Tetiva, Vitaly Stakhovsky. An Inequality Proved Without Computer Assistance: 11251
    268 -- 269Ovidiu Bagdasar, Marian Tetiva. A Productive Inequality: 11252
    269 -- 0Raimond Struble, Jean-Pierre Grivaux. A Myth About Infinite Products: 11257
    270 -- 275Martin Davis. Inexhaustibility: A Non-Exhaustive Treatment by Torkel Franzén; Gödel's Theorem: An Incomplete Guide to Its Use and Misuse by Torkel Franzén
    276 -- 0. Editor's Endnotes

    Volume 115, Issue 2

    91 -- 96Christopher S. Hardin, Alan D. Taylor. A Peculiar Connection between the Axiom of Choice and Predicting the Future
    97 -- 113Michel Balinski. Fair Majority Voting (or How to Eliminate Gerrymandering)
    114 -- 124Hugh Nelson Howards. Brunnian Spheres
    125 -- 137Jonathan M. Borwein. Hilbert's Inequality and Witten's Zeta-Function
    138 -- 144Abraham Albert Ungar. From Möbius to Gyrogroups
    145 -- 147Aaron Melman. Bounds on the Zeros of the Derivative of a Polynomial with All Real Zeros
    147 -- 149Uri Elias. Qualitative Analysis of a Differential Equation of Abel
    149 -- 153Wlodzimierz Holsztynski, Jan Mycielski, Gregory Charles O'Brien, Stanislaw Swierczkowski. Closed Curves on Spheres
    154 -- 158E. F. Cornelius Jr., Phill Schultz. Sequences Generated by Polynomials
    159 -- 165Krzysztof Ciesielski, Zdzislaw Pogoda. On Ordering the Natural Numbers, or, The Sharkovski Theorem
    166 -- 0Roger Cuculière. Problem 11345
    166 -- 0Albert Stadler. Problem 11344
    166 -- 167Christopher J. Hillar. Problem 11346
    166 -- 0Luis H. Gallardo. Problem 11342
    166 -- 0David Beckwith. Problem 11343
    166 -- 0Cezar Lupu. Problem 11341
    167 -- 0Mihály Bencze. Problem 11347
    167 -- 168Solomon W. Golomb, Kyle Calderhead. Orthogonal Sudoku Squares: 11214
    168 -- 169Shmuel Rosset, José Heber Nieto. Maximum Velocity on a Car Trip: 11215
    169 -- 170Jim Brennan, Richard Ehrenborg, Eugene A. Herman. Goes Back to Boole: 11234
    170 -- 172Jim Owings, Marian Tetiva, Matthew Huddleston. Coloring the Plane: 11236
    172 -- 0Pál Péter Dályay, A. Shafie. Ex-To-In-Radius Ratio: 11240
    173 -- 0Jolene Harris, Bogdan Suceava, Knut Dale. Iterational Rate of Covergence: 11244
    174 -- 177Marion Cohen. Letters to a Young Mathematician by Ian Stewart

    Volume 115, Issue 10

    0 -- 0. Volume Information
    871 -- 887Stephan C. Carlson. The Quest for a Fuzzy Tychonoff Theorem
    888 -- 901Robert Baillie, David Borwein, Jonathan M. Borwein. Surprising Sinc Sums and Integrals
    902 -- 910Wolfgang Stadje. The Maximum Average Gain in a Sequence of Bernoulli Games
    911 -- 929Jack Bookman, Susan L. Ganter, Rick Morgan. Developing Assessment Methodologies for Quantitative Literacy: A Formative Study
    930 -- 933Ed Scheinerman, Thomas J. Pickett, Ann Coleman. Another Continued Fraction for π
    933 -- 938Bakir Farhi. A Curious Result Related to Kempner's Series
    939 -- 943Andrei Vernescu. The Summation of a Family of Series
    943 -- 947Washek F. Pfeffer. A Devil's Platform
    948 -- 0Biaggi Ricceri. Problem 11399
    948 -- 0Grahame Bennett. Problem 11397
    948 -- 0Stanley Huang. Problem 11398
    948 -- 0Paul Bracken. Problem 11400
    949 -- 0Marius Cavachi. Problem 11401
    949 -- 0Yaming Yu. Problem 11403
    949 -- 950Manuel Kauers, Richard Stong. A Telescoping Fibonacci Sum: 11258
    949 -- 0Catalin Barboianu. Problem 11402
    950 -- 0Eugene A. Herman, Mark D. Meyerson. 3-D Rotations and Translations: 11276
    950 -- 951M. L. Glasser, O. P. Lossers. A Sinh a Series: 11286
    951 -- 952Cezar Lupu, Kenneth F. Andersen. A Variant Intermediate Value: 11290
    952 -- 953Stefano Siboni, O. P. Lossers. Double Integral: 11295
    953 -- 954Marian Tetiva, John H. Lindsey II. A Tricky Minimum: 11297
    954 -- 955. Errata and End Notes for 2008
    956 -- 960Ioannis Kontoyiannis. Information and Complexity in Statistical Modeling by Jorma Rissanen

    Volume 115, Issue 1

    3 -- 12Frederick V. Henle, James M. Henle. Squaring the Plane
    13 -- 32Michelle Previte, Sean Yang. A Novel Way to Generate Fractals
    33 -- 44Péter Komjáth, Vilmos Totik. Ultrafilters
    45 -- 56Ray Cavalcante, Todor D. Todorov. A Lost Theorem: Definite Integrals in an Asymptotic Setting
    57 -- 60Greg Martin. A Simple Polynomial for a Simple Transposition
    61 -- 65Banyat Sroysang, John E. Wetzel, Wacharin Wichiramala. Covers for Angleworms
    66 -- 68Stefanie Ucsnay. A Note on Tarski's Note
    68 -- 70Simon Marshall. Another Simple Proof of the High Girth, High Chromatic Number Theorem
    71 -- 0Donald E. Knuth. Problem 11336
    71 -- 0Juan López González. Problem 11335
    71 -- 0Marian Tetiva. Problem 11337
    71 -- 0Ovidiu Furdui. Problem 11338
    71 -- 0Jonathan Bober, Jeffrey C. Lagarias. Problem 11334
    72 -- 0Óscar Ciaurri, Luz Roncal. Problem 11340
    72 -- 0José Luis Díaz-Barrero. Problem 11339
    72 -- 0Mohammad Hossein Mehrabi, Pál Péter Dályay. A Condition on the Commutator: 11196
    73 -- 74Robert Russell, Christoph Soland, William Dickinson, William Dickenson. Can One Recover a (Spherical) Triangle from Its Medial Triangle? 11201
    74 -- 75Paolo Perfetti, Richard Bagby. Differentiable and Discontinuous Densely: 11221
    75 -- 76Christopher J. Hillar, Lionel Levine, Stephen C. Locke. Snapshots for Velocities: 11223
    76 -- 0Franck Beaucoup, Tamás Erdélyi, et al.. A Unique Solution: 11226
    77 -- 0Michael W. Botsko, Albert Stadler. A Function Inequality: 11232
    77 -- 0Marian Tetiva, Minh Can. A Triangle Inequality: 11228
    78 -- 0Robert Downes, Jean-Pierre Grivaux. A Derivative Formula: 11233
    79 -- 82Jeffrey Nunemacher. Review: Fearless Symmetry: Exposing the Hidden Patterns of Numbers by Avner Ash; Robert Gross
    82 -- 85Ron Solomon. Review: Symmetry and the Monster by Mark Ronan
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