Cover -- Half Title -- Copyright Page -- Title Page -- Series Page -- Contents -- Preface -- Part I: Geometry -- 1 The Euler Line (January 2009) -- 2 A Forgotten Fermat Problem (December 2008) -- 3 A Product of Secants (May 2008) -- 4 Curves and Paradox (October 2008) -- 5 Did Euler Prove Cramer's Rule? (November 2009-A Guest Column by Rob Bradley) -- Part II: Number Theory -- 6 Factoring F5 (March 2007) -- 7 Rational Trigonometry (March 2008) -- 8 Sums (and Differences) that are Squares (March 2009) -- Part III: Combinatorics -- 9 St. Petersburg Paradox (July 2007) -- 10 Life and Death - Part 1 (July 2008) -- 11 Life and Death - Part 2 (August 2008) -- Part IV: Analysis -- 12 e, π and i: Why is "Euler" in the Euler Identity (August 2007) -- 13 Multi-zeta Functions (January 2008) -- 14 Sums of Powers (June 2009) -- 15 A Theorem of Newton (April 2008) -- 16 Estimating π (February 2009) -- 17 Nearly a Cosine Series (May 2009) -- 18 A Series of Trigonometric Powers (June 2008) -- 19 Gamma the Function (September 2007) -- 20 Gamma the Constant (October 2007) -- 21 Partial Fractions (June 2007) -- 22 Inexplicable Functions (November 2007) -- 23 A False Logarithm Series (December 2007) -- 24 Introduction to Complex Variables (May 2007) -- 25 The Moon and the Differential (October 2009-A Guest Column by Rob Bradley) -- Part V: Applied Mathematics -- 26 Density of Air (July 2009) -- 27 Bending Light (August 2009) -- 28 Saws and Modeling (November 2008) -- 29 PDEs of Fluids (September 2008) -- 30 Euler and Gravity (December 2009-A Guest Column by Dominic Klyve) -- Part VI: Euleriana -- 31 Euler and the Hollow Earth: Fact or Fiction? (April 2007) -- 32 Fallible Euler (February 2008) -- 33 Euler and the Pirates (April 2009) -- 34 Euler as a Teacher - Part 1 (January 2010) -- 35 Euler as a Teacher - Part 2 (February 2010) -- About the Author.