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Editorial Reviews
Product Description
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.
Book Description
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.
See all Editorial Reviews
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.
Book Description
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.
See all Editorial Reviews
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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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