Die Werke von Jakob Bernoulli: without special title
Author: Jakob Bernoulli
Publisher:
Published: 1969
Total Pages: 604
ISBN-13:
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Author: Jakob Bernoulli
Publisher:
Published: 1969
Total Pages: 604
ISBN-13:
DOWNLOAD EBOOKAuthor: Johann I Bernoulli
Publisher: Springer Science & Business Media
Published: 2007-11-14
Total Pages: 728
ISBN-13: 9783764373672
DOWNLOAD EBOOKThis volume on mechanics of rigid and elastic bodies contains early papers concerning geometric statics, accompanied by works dealing with the motion of compound pendula and the deformation of beams. The papers on mechanics in this volume do not encompass the area of hydraulics, which occupies approximately one half of the papers dealing with mechanical problems and which are included in volume 7. This collection constitutes, roughly, one eighth of the entire work written by Bernoulli.
Author: Daniel Bernoulli
Publisher: Springer Science & Business Media
Published: 1996-10-28
Total Pages: 540
ISBN-13: 9783764352721
DOWNLOAD EBOOKThe works from Daniel Bernoulli's youth contained in this first volume of his Collected Works bear witness above all of his versatility; they deal with subjects as different as physiology, formal logic, mathematical analysis, hydrodynamics and positional astronomy. Daniel Bernoulli's contacts with Italian scientists gave rise to several controversies. The present volume documents both sides in each of these debates, which culminated with the publication of Bernoulli's first book Exercitationes mathe- maticae in 1724. The discussions with the renowned mathematician Jacopo Riccati on second-order differential equations and on the Newtonian theory of the out-flow of fluids from vessels deserve particular interest. A third group of texts goes back to the time Bernoulli spent at the newly- founded Academy of Sciences in St. Petersburg, where he had been appointed in 1725. There he worked out two more contributions to physiological research - on muscle movement and on the blind spot in the human eye - as well as his only paper in positional astronomy. This last work - suggested by a prize question of the Paris Académie des Sciences - became the occasion for a vehement conflict; the present volume documents these "Zänkereien" (squabbles) and also reproduces three competing treatises. To complete the documentation of Daniel Bernoulli's work on physiology, the volume also includes his academic ceremonial speech De Vita of 1737, where he sketches for the first time the circulation of the work done by the human heart, and its elaboration by Bernoulli's student Daniel Passavant.
Author: Jakob Bernoulli
Publisher:
Published: 1975
Total Pages: 585
ISBN-13:
DOWNLOAD EBOOKAuthor: Anders Hald
Publisher: John Wiley & Sons
Published: 2005-02-25
Total Pages: 611
ISBN-13: 047172517X
DOWNLOAD EBOOKWILEY-INTERSCIENCE PAPERBACK SERIES The Wiley-Interscience Paperback Series consists of selected books that have been made more accessible to consumers in an effort to increase global appeal and general circulation. With these new unabridged softcover volumes, Wiley hopes to extend the lives of these works by making them available to future generations of statisticians, mathematicians, and scientists. From the Reviews of History of Probability and Statistics and Their Applications before 1750 "This is a marvelous book . . . Anyone with the slightest interest in the history of statistics, or in understanding how modern ideas have developed, will find this an invaluable resource." –Short Book Reviews of ISI
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Published: 1989
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DOWNLOAD EBOOKAuthor: Jakob Bernoulli
Publisher: Springer Science & Business Media
Published: 1999-06-28
Total Pages: 484
ISBN-13: 9783764357795
DOWNLOAD EBOOKThis volume contains the work of the great Swiss mathematician on differential geometry, a field marked by some of his greatest achievements. Between 1690 and 1700, Jacob Bernoulli published twelve treatises in the scientific journal Acta Eruditorum on the use of infinitesimal methods to answer geometrical questions. Preparatory notes for most of these papers and on many other themes are found in Bernoulli's scientific diary Meditationes, from which twentynine texts are published here for the first time. Among the curves considered are the isochrones (lines of constant descent), the parabolic spiral, the loxodrome, the cycloid, the tractrix, and the logarithmic spiral (Bernoulli's spira mirabilis, which also adorns his tombstone). The description of these curves by differential equations and by geometrical constructions, their rectification and quadrature, and the determination of their evolutes and caustics offered Bernoulli and his colleagues a range of challenging problems, many of them relevant for mechanical or optical applications. The French mathematician André Weil, who lived in the United States until his recent death, has greatly influenced 20th century mathematics, among other things, as a founding member of the Bourbaki group. For many years he has pursued intensive studies of the history of mathematics, especially number theory and algebraic geometry. Weil's introduction to this volume places Jacob Bernoulli's contribution to differential geometry in a line of development from Descartes, Huygens and Barrow through Newton's und Leibniz's epochal innovations right up to the codification of the subject by Euler. Martin Mattmüller, secretary of the Bernoulli Edition at Basel, edited the source text. His commentaries consider particular topics in differential geometry with reference to their historical context at the end of the 17th century.
Author: Nihon Sūgakkai
Publisher: MIT Press
Published: 1993
Total Pages: 1180
ISBN-13: 9780262590204
DOWNLOAD EBOOKV.1. A.N. v.2. O.Z. Apendices and indexes.
Author: Jakob Bernoulli
Publisher: Birkhäuser
Published: 1993-12-01
Total Pages: 0
ISBN-13: 9783764329617
DOWNLOAD EBOOKJacob Bernoulli (1654-1705), founder of Basel's dynasty of mathematicians, left a relatively small body of correspondence for posterity. Published here for the first time are all 50 preserved letters sent to or by Jacob Bernoulli, and documentary evidence is presented of some l00 further letters no longer extant. The correspondence with Leibniz takes up the bulk of the volume and is also the most substantial scientifically. Topics range from Bernoulli's theories of elasticity and probability, to Leibniz' "Dynamik," to the integration of algebraic functions, to controversies over differential calculus and calculus of variations. The exchange offers rare insights into the personal histories and working habits of these two correspondents. Science politics dominates the brief but intensive correspondence (1700-01) with Geneva's Nicolas Fatio de Duillier, a leading exponent of Newtonian mathematics. Their letters broach Leibniz' claim to mathematical leadership, professional disputes between the brothers Jacob and Johann, and Fatio's theory of gravitation. Bernoulli's letters to teachers and friends, and business letters to Otto Mencke, publisher of Acta Eruditorum, shed further light on the until now little-researched life of Basel's famed mathematician.
Author: Jakob Bernoulli
Publisher: Springer Science & Business Media
Published: 2006-10-23
Total Pages: 708
ISBN-13: 9783764318918
DOWNLOAD EBOOKCorrection to the text about C.S. Roero printed on the inside front cover page: Clara Silvia Roero began her research with Tullio Viola, full Professor of Analysis at Turin University. From 1987 to 2000 she was associate professor of Matematiche Complementari and of History of Mathematics at the University of Cagliari (1987-1990) and at the University of Turin (1990-2000). From 2000 she is full professor of History of Mathematics at Turin University, Faculty of Mathematical and Physical Sciences. She is currently President of the Italian Society of History of Mathematics (Società Italiana di Storia delle Matematiche). She is author of several articles and books on the history of mathematics from antiquity to 20th century, in particular on the history of the Leibnizian Calculus; and she is a member of the editorial board of the Bollettino di Storia delle Scienze Matematiche.