Special Sale
The MAA Tercentenary Euler Collection
The Early Mathematics of Leonhard Euler
Edward Sandifer
The Early Mathematics of Leonhard Euler gives an article-by-article description of Leonhard Euler’s early mathematical works, the 50 or so mathematical articles he wrote before he left St. Petersburg in 1741 to join the Academy of Frederick the Great in Berlin. These early pieces contain some of Euler’s greatest work, the Königsberg bridge problem, his solution to the Basel problem, and his first proof of the Euler-Fermat theorem. It also presents important results that we seldom realize are due to Euler; that mixed partial derivatives are (usually) equal, our f(x) notation, and the integrating factor in differential equations.
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Catalog Code: EUL-01
380 pp., Hardbound, 2007
ISBN: 978-0-88385-559-1
The Genius of Euler
Reflections on his Life and work
William Dunham, Editor
This book celebrates the 300th birthday of Leonhard Euler (1707 - 1783), one of the brightest stars in the mathematical firmament. The collected articles, aimed at a mathematically literate audience, address aspects of Euler's life and work, from the biographical to the historical to the mathematical. The oldest of these was written in 1872, and the most recent dates to 2006.
Some of the papers focus on Euler and his world, others describe a specific Eulerian achievement, and still others survey a branch of mathematics to which Euler contributed significantly. Along the way, the reader will encounter the Königsberg bridges, the 36-officers, Euler's constant, and the zeta function. There are papers on Euler's number theory, his calculus of variations, and his polyhedral formula. Of special note are the number and quality of authors represented here. Among the 34 contributors are some of the most illustrious mathematicians and mathematics historians of the past century - including, Florian Cajori, Carl Boyer, George Pólya, André Weil, and Paul Erdos. And there are a few poems and a mnemonic just for fun.
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Catalog Code: EUL-02
260 pp., Hardbound, 2007
ISBN: 978-0-88385-558-4
How Euler Did It
C. Edward Sandifer
How Euler Did It is a collection of 40 monthly columns that appeared on MAA Online between November 2003 and February 2007 about the mathematical and scientific work of the great 18th century Swiss mathematician Leonhard Euler. Almost every column is self-contained and gives the context, significance and some of the details of a particular facet of his work.
Professor Sandifer based his columns on Euler’s own words in the original language in which they were written. In this way, the author was able to uncover many details that are not found in other sources. For example, we see how Euler used differential equations and continued fractions to prove that the constant e is irrational, several years before Lambert, who is usually credited with this discovery. Euler also made an observation equivalent to saying that the number of primes less than a number x is approximately x/Inx, an observation usually attributed to Gauss some 15 years after Euler died.
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Catalog Code: EUL-03
304 pp., Hardbound, 2007
ISBN: 978-0-88385-563-8
Euler and Modern Science
N. N. Bogolyubov, G. K. Mikhailov & A. P. Yushkevich, Editors
Translated from Russian by Robert Burns
This book is an English translation of a collection of papers in Russian from a conference held in Moscow and St. Petersburg in 1983, 200 years after Euler’s death. Two of the Russian papers in the collection are themselves translations from the German. The present English translation appears in 2007, 300 years after his birth.
What makes this collection remarkable is the extensive treatment of Euler’s contributions outside pure mathematics, astronomy, celestial mechanics, ballistics, history of science, instruments and technology, physics, mechanics, hydromechanics, mechanics of elastic systems, variational principles of mechanics, and a mathematical theory of music. Euler was also actively involved in the preparation and sale of scientific books, and while in Berlin, of scientific almanacs. In addition to this survey of his contributions to science, we find here material otherwise very difficult to find detailed accounts of Euler’s family life and the careers pursued by his children and grandchildren. Readers otherwise well-informed about Euler and his work will find here much to enhance their appreciation of this extraordinary scientist and human being.
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Catalog Code: EUL-04
425 pp Hardbound, 2007
ISBN 978-0-88385-564-5
Euler at 300: An Appreciation
Robert E. Bradley, Lawrence A. D’Antonio & C. Edward Sandifer, Editors
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 together 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 manipulations of power series—geometry, algebra, probability, astronomy and mechanics.
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Catalog Code: EUL-05
325 pp., Hardbound, 2007
ISBN: 978-0-88385-565-2