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Full Description
When an important mathematician celebrates a landmark birthday, other mathematicians sometimes gather together to give papers in appreciation of the life and work of the great person. When a mathematician as influential and productive as Euler celebrates an anniversary as important as the 300th, a single meeting isn't sufficient to present all of the contributions. Leonhard Euler (1707-1783) was the most important mathematician of the 18th century. His collected works, with 800 books and articles, fill over 70 large volumes. He revolutionized real analysis and mathematical physics, single-handedly established the field of analytic number theory, and made important contributions to almost every other branch of mathematics. A great pedagogue as well as a great researcher, his textbooks educated the next generation of mathematicians. During the years leading up to Leonhard Euler's tercentenary, at more than a dozen academic meetings across the USA and Canada, mathematicians and historians of mathematics honored Euler in papers detailing his life and work. This book collects more than 20 papers based on some of the most memorable of these contributions. These papers are accessible to a broad mathematical audience. They will appeal to those who already have an interest in the history of mathematics. For those who don't, they will serve as a compelling introduction to the subject, focused on the accomplishments of one of the great mathematical minds of all time. Topics include analysis-especially Euler's fearless and masterful manipulation of power series-geometry, algebra, probability, astronomy and mechanics.
Contents
Articles
Rudiger Thiele, Leonhard Euler, the Decade 1750-1760
C. Edward Sandifer, Euler's Fourteen Problems
Dominic Klyve and Lee Stemkoski, The Euler Archive: Giving Euler to the World
Christopher Baltus, The Euler-Bernoulli Proof of the Fundamental Theorem of Algebra
Stacy G. Langton, The Quadrature of Lunes, from Hippocrates to Euler
Rudiger Thiele, What is a function?
Janet Heine Barnett, Enter, Stage Center: The Early Drama of the Hyperbolic Functions
C. Edward Sandifer, Euler's Solution of the Basel Problem-The Longer Story
Lawrence D'Antonio, Euler and Elliptic Integrals
Mark McKinzie, Euler's Observations on Harmonic Progressions
Mark McKinzie, Origins of a classic formalist argument: power series expansions of the logarithmic and exponential functions
Dick Jardine, Taylor and Euler: Linking the Discrete and Continuous
David J. Pengelley, Dances between continuous and discrete: Euler's summation formula
Stacy G. Langton, Some Combinatorics in Jacob Bernoulli's Ars Conjectandi
Robert E. Bradley, The Genoese Lottery and the Partition Function
Carolyn Lathrop and Lee Stemkoski, Parallels in the Work of Leonhard Euler and Thomas Clausen
Robert E. Bradley, Three Bodies? Why not Four? The Motion of the Lunar Apsides
Lawrence D'Antonio, ""The fabric of the universe is most perfect"": Euler's research on elastic curves
Roger Godard, The Euler Advection Equation
C. Edward Sandifer, Euler Rows the Boat
George W. Heine, III, Lambert, Euler, and Lagrange as Map Makers
