Table of Contents
The Fibonacci Numbers—Exposed (Dan Kalman, Robert Mena)
The Fibonacci Numbers—Exposed More Discretely (Arthur T. Benjamin, Jennifer J. Quinn)
Gaspard Monge and the Monge Point of the Tetrahedron (Robert Alan Crabbs)
Math Bite: A Novel Proof of the Infinitude of Primes, Revisited (Daniel Cass, Gerald Wildenberg)
Periodic Points of the Open-Tent Function (Danrun Huang, Daniel Scully)
Fibonacci Numbers and the Arctangent Function (Ko Hayashi)
Hypercubes and Pascal's Triangle: A Tale of Two Proofs (Michael L. Gargano, Joseph F. Malerba, Marty Lewinter)
A Derivation of Taylor's Formula with Integral Remainder (Dimitri Kountourogiannis, Paul Loya)
A Theorem Involving the Denominators of Bernoulli Numbers (Pantelis Damianou, Peter Schumer)
Proof Without Words: Viviani's Theorem with Vectors (Hans Samelson)
Let Pi be 3 (Robert N. Anderson, Justin Stumpf, Julie Tillier)
Problems (Elgin H. Johnston)
Proposals
Quickies
Solutions
Sums of Primes and Squares
Rational Bisectors
Cutting a Polygon into Rhombi
Bounds on the Gamma Function
Some Geometric Inequalities
Answers
60 Years Ago in the Magazine
Reviews Paul J. Campbell)
Klassiskt matteproblem kan ha fatt en lösnin [Classic math problem may have been solved] by Bengt Jonsson. Final steps toward a proof of the Riemann hypothesis by Carlos Castro, and Jorge Mahecha. The Music of the Primes: Searching to Solve the Greatest Mystery in Mathematics Marcus du Sautoy. Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem by John Derbyshire. The Riemann Hypothesis: The Greatest Unsolved Problem in Mathematics by Karl Sabbagh
Russian reports he has solved a celebrated math problem by Sara Robinson. Perelman explains proof to famous math mystery Josh Brodie. A world of doughnuts and spheres George Johnson
A good proof despite math goof by Glennda Chui. Small gaps between consecutive primes : Recent work of D. Goldston and C. Yildirim. On the error in Goldston and Yildirim's "Small gaps between consecutive
primes
Gamma: Exploring Euler 's Constant by Julian Havil
The Mathematics of Marriage: Dynamic Nonlinear Models by John M. Gottman, James D. Murray, Catherine C. Swanson, Rebecca Tyson, Kristin R. Swanson. Love by the numbers by Jordan Ellenberg. Every unhappy family has its own bilinear influence function by David Glenn
Environmental Mathematics in the Classroom by B. A. Fusaro, and P.C. Kenschaft (eds.)
43rd International Mathematical Olympiad, Glasgow, Scotland, United Kingdom, July 24 and 25, 2002 (edited by Titu Andreescu and Zuming Feng)
