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. The books shows how contributions in diverse fields are related, how number theory relates to series, which, in turn, relate to elliptic integrals and then to differential equations. There are dozens of such strands in this beautiful web of mathematics. At the same time, we see Euler grow in power and sophistication, from a young student when at 18 he published his first work on differential equations (a paper with a serious flaw) to the most celebrated mathematician and scientist of his time. It is a portrait of the world s most exciting mathematics between 1725 and 1741, rich in technical detail, woven with connections within Euler s work and with the work of other mathematicians in other times and places, laced with historical context.
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Describing Euler’s early mathematical works, this book is a portrait of the world’s most exciting mathematics between 1725 and 1741, rich in technical detail. Woven with connections within Euler’s work and with the work of other mathematicians in other times and places, laced with historical context.
About the Author
C. Edward Sandifer received his AB from Dartmouth College 1973, and his MA, PhD, from the University of Massachusetts, Amherst 1975, 1980. He was Chair of the Northeastern Section of the MAA, 1998-2000, and Secretary of The Euler Society, 2002-present. He is also a member of the American Mathematical Society, the Canadian Society for the History and Philosophy of Mathematics, and the British Society for the History of Mathematics. He is one of the founding members of The Euler Society, and on the charter committee at the founding of the History of Mathematics Special Interest Group of the MAA (HoMSIGMAA). He has run 34 consecutive Boston Marathons and won the 1984 Northeastern (USA) Regional Marathon Championship.
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3 of 4 people found the following review helpful:
5.0 out of 5 stars
The vol 1. and 2. a must for all mathematicians.,
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This review is from: The Early Mathematics of Leonhard Euler (Spectrum) (Hardcover)
Happy Birthdays to our hero, Leonhard Euler, 1707 -1783, one the greatest mathematicians of all time nd undoubtedly the most popular among mathematicians ( profeesional and amateur ). Total 4 volumes to commemorate the 300 birthdays of Euler. Edited by enthusiastic current matematicians who are fervent fans of Euler. Need I to say anymore??
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Inside This Book
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Key Phrases - Statistically Improbable Phrases (SIPs):
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analyticae variae, innumerabilium progressionum, reciprocal trajectories, quocunque resistente, second evolute, circa lunulas, reciprocal trajectory, transcendental progressions, algebraic trajectories, curvis eiusdem generis, aequationis differentialis, generalis summandi progressiones, total sine, first evolute, arc length integrals, number whose logarithm, principal fractions, methodus inveniendi, resolvent equation, curve elements, conditionally convergent series, resistant medium, higher analysis, isoperimetric problems, acta eruditorum Key Phrases - Capitalized Phrases (CAPs): (learn more)
Opera Omnia, Johann Bernoulli, Daniel Bernoulli, Leonhard Euler, New York, Academy of Sciences, Fermat's Little Theorem, Petersburg Academy, Source Book, Fermat's Last Theorem, Paris Prize, Perhaps Euler, Christian Goldbach, History of Algorithms, Jakob Bernoulli, Method of Infinite Descent, Jakob Hermann, Christian Wolff, The Euler Archive, University of Basel, Daniele Bernoullio, David Eugene Smith, Empress Catherine, Knight's Tour New!
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analyticae variae, innumerabilium progressionum, reciprocal trajectories, quocunque resistente, second evolute, circa lunulas, reciprocal trajectory, transcendental progressions, algebraic trajectories, curvis eiusdem generis, aequationis differentialis, generalis summandi progressiones, total sine, first evolute, arc length integrals, number whose logarithm, principal fractions, methodus inveniendi, resolvent equation, curve elements, conditionally convergent series, resistant medium, higher analysis, isoperimetric problems, acta eruditorum Key Phrases - Capitalized Phrases (CAPs): (learn more)
Opera Omnia, Johann Bernoulli, Daniel Bernoulli, Leonhard Euler, New York, Academy of Sciences, Fermat's Little Theorem, Petersburg Academy, Source Book, Fermat's Last Theorem, Paris Prize, Perhaps Euler, Christian Goldbach, History of Algorithms, Jakob Bernoulli, Method of Infinite Descent, Jakob Hermann, Christian Wolff, The Euler Archive, University of Basel, Daniele Bernoullio, David Eugene Smith, Empress Catherine, Knight's Tour New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
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