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The Monthly publishes articles, notes, and other features about mathematics and the profession. Its readers span a broad spectrum of mathematical interests, and abilities.

Publisher: Mathematical Association of America

Volume 115, Number 6, June/July 2008
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Periodic Orbits for Billiards on an Equilateral Triangle
pp. 479-491(13)
Authors: Baxter, Andrew M.; Umble, Ronald

The Freshman's Approach to Conway's Napkin Problem
pp. 492-498(7)
Author: Eriksen, Niklas

Edge Detection Using Fourier Coefficients
pp. 499-513(15)
Author: Engelberg, Shlomo

The m th Ratio Test: New Convergence Tests for Series
pp. 514-524(11)
Author: Ali, Sayel A.

Summing a Curious, Slowly Convergent Series
pp. 525-540(16)
Authors: Schmelzer, Thomas; Baillie, Robert

Arithmetic in the Ring of Formal Power Series with Integer Coefficients
pp. 541-549(9)
Authors: Birmajer, Daniel; Gil, Juan B.

A Shortened Classical Proof of the Quadratic Reciprocity Law
pp. 550-551(2)
Author: Castryck, Wouter

Infinite Divisibility of GCD Matrices
pp. 551-553(3)
Authors: Bhatia, Rajendra; Silva, Dias da J.A.

Borsuk-Ulam Implies Brouwer: A Direct Construction Revisited
pp. 553-556(4)
Author: Yu. Volovikov, Alexey

On the Radon-Nikodym Theorem
pp. 556-558(3)
Author: Koumoullis, George

Cycles in Graphs and Groups
pp. 559-562(4)
Author: Kantor, William M.

A Letter from Fitzroy House
pp. 563-566(4)
Author: Hirschhorn, Michael D.

Problems and Solutions
pp. 567-574(8)
Authors: Edgar, Gerald A.; Hensley, Doug; West, Douglas B.

An Invitation to Modern Number Theory
pp. 575-578(4)
Author: Vaaler, Jeffrey D.

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