Leonhard Euler And The Bernoullis

Author: M. B. W. Tent
Publisher: CRC Press
ISBN: 9781439865484
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"Leonhard Euler and the Bernoullis is a fascinating tale of the Bernoulli family and Euler's association with them. Successful merchants in the 16th and 17th centuries, the Bernoullis were driven out of Antwerp during the persecution of the Huguenots and settled first in Frankfurt, and then in Basel, where one of the most remarkable mathematical dynasties evolved with Jacob, Johann, and Daniel Bernoulli the most prominent among them. Euler, fortunate to have had Johann Bernoulli as a tutor, quickly rose to prominence in the academies of Berlin and St. Petersburg, and became the most prolific and profound mathematician that ever lived. The story of these remarkable men, their great ambitions and dedication to their science-often against parental authority-is skillfully told by the author. Refreshing fictional dialogue is interspersed throughout into an otherwise accurate historical scenario. The book is intended for the young adult audience of middle school and early high school ages, but surely will also appeal to a general audience, with or without mathematical background." --Walter Gautschi, Purdue University

Briefwechsel Von Leonhard Euler Mit Johann I Bernoulli Und Niklaus I Bernoulli

Author: Leonhard Euler
Publisher: Springer Science & Business Media
ISBN: 376435271X
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This is Volume 2 of the envisaged ten-book series and the fourth work to be released to date. It contains complete transcripts of the letters - the majority were composed in Latin - which Euler exchanged with Johann I Bernoulli and Nikolaus I Bernoulli; full translation of all letters; and also critical, historico scientific commentaries. The present edition is uniquely comprehensive, taking into account all known manuscripts. Central topics are: analysis, differential equations, calculus of variations, mechanics, hydromechanics, hydraulics and theory of planetary motions.

The Rational Mechanics Of Flexible Or Elastic Bodies 1638 1788

Author: Leonhard Euler
Publisher: Springer Science & Business Media
ISBN: 3764314419
Size: 16.60 MB
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1 We search the concepts and methods ) of the theory of deformable sonds from GALILEO to LAGRANGE. Neither of them achieved much in our subject, but their works serve as 2 termini: With GALILEO's Discorsi in 1638 our matter begins ) (for this is the history of mathematical theory), while LAGRANGE's Mechanique Analitique closed the mechanics of 1) There are three major historical works that bear on our subject. The first is A history of the theory of elasticity and of the strength of materials by I. ToDHUNTER, "edited and completed" by K. PEARSON, Vol. I, Cambridge, 1886. Unfortunately it is necessary to give warning that this book fails to meet the standard set by the histories ToDHUNTER lived to finish. Much of what ToDHUNTER left seems to be rather the rough notes for a book than the book itself; the parts due to PEARSON are fortunately distinguished by square brackets. Researches prior to 1800 are disposed of in the first chapter, 79 pages long and almost entirely the work of PEARSON; as frontispiece to a work whose title restricts it to theory he saw fit to supply a possibly original pen drawing entitled "Rupture. Sur faces of Cast-Iron".

Swiss Mathematicians Leonhard Euler Daniel Bernoulli Jacob Bernoulli Johann Bernoulli Heinz Hopf Nicolas Faccio Edward Kofler

Author: Source Wikipedia
Publisher: Books LLC, Wiki Series
ISBN: 1156633249
Size: 10.91 MB
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 37. Chapters: Leonhard Euler, Daniel Bernoulli, Jacob Bernoulli, Johann Bernoulli, Heinz Hopf, Nicolas Faccio, Edward Kofler, Ludwig Schl fli, Armand Borel, Hugo Hadwiger, Fritz Joachim Weyl, Jost B rgi, Paul Bernays, Jakob Steiner, Nicolas Fatio de Duillier, Ludwig Stickelberger, Petrus Ryff, Conrad Dasypodius, Michel Kervaire, Johann Baptist Cysat, Johann Jakob Balmer, Jakow Trachtenberg, Guerino Mazzola, Georges de Rham, Heinz Rutishauser, Sergio Albeverio, Gabriel Cramer, Andreas Speiser, Jakob Amsler-Laffon, Paul Finsler, Nicolaus II Bernoulli, Eduard Stiefel, Jakob Hermann, Marcel J. E. Golay, Jean-Louis Calandrini, Walter Gautschi, Marcel Grossmann, Paul Guldin, Jakob II Bernoulli, Simon Antoine Jean L'Huilier, Eva Bayer-Fluckiger, Hans-Rudolf K nsch, Nicolaus I Bernoulli, Nicolas Fuss, Charles Labelye, Johann III Bernoulli, Johann II Bernoulli, Erwin Engeler, Michel Plancherel, Joseph Ludwig Raabe, Johann Euler, Julius Richard B chi, Jean-Pierre Sydler, Andr Haefliger, Beno Eckmann, Paul Schatz, Karl Adams, Johann Rahn, Pierre Gabriel. Excerpt: Leonhard Euler (German pronunciation: , English approximation, "Oiler"; 15 April 1707 - 18 September 1783) was a pioneering Swiss mathematician and physicist. He made important discoveries in fields as diverse as infinitesimal calculus and graph theory. He also introduced much of the modern mathematical terminology and notation, particularly for mathematical analysis, such as the notion of a mathematical function. He is also renowned for his work in mechanics, fluid dynamics, optics, and astronomy. Euler spent most of his adult life in St. Petersburg, Russia, and in Berlin, Prussia. He is considered to be the preeminent mathematician of the 18th century, and one of the greatest of all time. He is also one of the most prolific mathematicians ever; his collected works fill 60-80 qua...

Leonhard Euler

Author: Ronald S. Calinger
Publisher: Princeton University Press
ISBN: 9781400866632
Size: 12.36 MB
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This is the first full-scale biography of Leonhard Euler (1707–83), one of the greatest mathematicians and theoretical physicists of all time. In this comprehensive and authoritative account, Ronald Calinger connects the story of Euler's eventful life to the astonishing achievements that place him in the company of Archimedes, Newton, and Gauss. Drawing chiefly on Euler’s massive published works and correspondence, which fill more than eighty volumes so far, this biography sets Euler’s work in its multilayered context—personal, intellectual, institutional, political, cultural, religious, and social. It is a story of nearly incessant accomplishment, from Euler’s fundamental contributions to almost every area of pure and applied mathematics—especially calculus, number theory, notation, optics, and celestial, rational, and fluid mechanics—to his advancements in shipbuilding, telescopes, ballistics, cartography, chronology, and music theory. The narrative takes the reader from Euler’s childhood and education in Basel through his first period in St. Petersburg, 1727–41, where he gained a European reputation by solving the Basel problem and systematically developing analytical mechanics. Invited to Berlin by Frederick II, Euler published his famous Introductio in analysin infinitorum, devised continuum mechanics, and proposed a pulse theory of light. Returning to St. Petersburg in 1766, he created the analytical calculus of variations, developed the most precise lunar theory of the time that supported Newton’s dynamics, and published the best-selling Letters to a German Princess—all despite eye problems that ended in near-total blindness. In telling the remarkable story of Euler and how his achievements brought pan-European distinction to the Petersburg and Berlin academies of sciences, the book also demonstrates with new depth and detail the central role of mathematics in the Enlightenment. Some images inside the book are unavailable due to digital copyright restrictions.