Die Werke von Daniel Bernoulli

Die Werke von Daniel Bernoulli
Author: Daniel Bernoulli
Publisher: Springer Science & Business Media
Total Pages: 540
Release: 1996-10-28
Genre: Mathematics
ISBN: 9783764352721

The 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.

Die Werke Von Johann I und Nicolaus II Bernoulli

Die Werke Von Johann I und Nicolaus II Bernoulli
Author: Johann I Bernoulli
Publisher: Springer Science & Business Media
Total Pages: 728
Release: 2007-11-14
Genre: Education
ISBN: 9783764373672

This 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.

A Short History of Mathematical Population Dynamics

A Short History of Mathematical Population Dynamics
Author: Nicolas Bacaër
Publisher: Springer Science & Business Media
Total Pages: 160
Release: 2011-02-01
Genre: Mathematics
ISBN: 0857291157

As Eugene Wigner stressed, mathematics has proven unreasonably effective in the physical sciences and their technological applications. The role of mathematics in the biological, medical and social sciences has been much more modest but has recently grown thanks to the simulation capacity offered by modern computers. This book traces the history of population dynamics---a theoretical subject closely connected to genetics, ecology, epidemiology and demography---where mathematics has brought significant insights. It presents an overview of the genesis of several important themes: exponential growth, from Euler and Malthus to the Chinese one-child policy; the development of stochastic models, from Mendel's laws and the question of extinction of family names to percolation theory for the spread of epidemics, and chaotic populations, where determinism and randomness intertwine. The reader of this book will see, from a different perspective, the problems that scientists face when governments ask for reliable predictions to help control epidemics (AIDS, SARS, swine flu), manage renewable resources (fishing quotas, spread of genetically modified organisms) or anticipate demographic evolutions such as aging.

Die Werke von Daniel Bernoulli

Die Werke von Daniel Bernoulli
Author: Daniel Bernoulli
Publisher: Birkhäuser
Total Pages: 403
Release: 2013-10-03
Genre: Mathematics
ISBN: 9783034877961

Plan der Gesamtausgabe Es liegt auf der Hand, dass keine Aufteilung der Werke allen Wünschen und Anforderungen gerecht werden kann. Streng chronologische Anordnung, wie sie z. B. für die Herausgabe von Korrespondenzen unerlässlich ist, oder Anordnung nach Sachgebieten? Wenige, breite Sachgebiete oder mehrere, schärfer definierte? Soll die Aufteilung der Disziplinen, welche zur Zeit des Autors galt, übernommen werden, oder soll man sich an die eigene, d. h. die zum Zeitpunkt der Herausgabe übliche, halten? Wobei letzteres voraussetzt, dass die Herausgabe sich nicht über einen allzu grossen Zeitraum erstreckt! Klar ist, dass kein einziges Prinzip allein völlig befriedigen kann, d. h. dass Kompromisse unerlässlich sind und dass auch rein praktische Erfordernisse, wie etwa für einen Band möglichst wenig Herausgeber gewinnen zu müssen, gebührend zu berücksichtigen sind. Das übliche Prinzip: Auf teilung auf eine gewisse Zahl von Wissenschaftsgebieten und chronologische Anordnung innerhalb dieser Gebiete, erwies sich auch hier als die beste Lösung. Jedoch zeigte es sich als unumgänglich, die Jugendwerke in einer besonderen Gruppe zusammenzufassen. Diese stellen teils wegen der Gebiete, auf denen Daniei am Anfang seiner Tätigkeit arbeitete, teils wegen der besonderen Form der Veröffentlichung ein besonderes Problem. Es handelt sich um kurze Bücher und Arbeiten auf den Gebieten der Medizin, der Logik und der Mathematik. Es ergab sich, dass diese Gruppe in einem Band (eventuell zwei) gedruckt werden kann.

The Oxford Handbook of the History of Physics

The Oxford Handbook of the History of Physics
Author: Jed Z. Buchwald
Publisher: Oxford University Press
Total Pages: 956
Release: 2013-10
Genre: Science
ISBN: 019969625X

Presents a history of physics, examining the theories and experimental practices of the science.

Series and Products in the Development of Mathematics: Volume 1

Series and Products in the Development of Mathematics: Volume 1
Author: Ranjan Roy
Publisher: Cambridge University Press
Total Pages:
Release: 2021-03-18
Genre: Mathematics
ISBN: 1108573185

This is the first volume of a two-volume work that traces the development of series and products from 1380 to 2000 by presenting and explaining the interconnected concepts and results of hundreds of unsung as well as celebrated mathematicians. Some chapters deal with the work of primarily one mathematician on a pivotal topic, and other chapters chronicle the progress over time of a given topic. This updated second edition of Sources in the Development of Mathematics adds extensive context, detail, and primary source material, with many sections rewritten to more clearly reveal the significance of key developments and arguments. Volume 1, accessible to even advanced undergraduate students, discusses the development of the methods in series and products that do not employ complex analytic methods or sophisticated machinery. Volume 2 treats more recent work, including deBranges' solution of Bieberbach's conjecture, and requires more advanced mathematical knowledge.

Series and Products in the Development of Mathematics

Series and Products in the Development of Mathematics
Author: Ranjan Roy
Publisher: Cambridge University Press
Total Pages: 779
Release: 2021-03-18
Genre: Mathematics
ISBN: 1108709451

First of two volumes tracing the development of series and products. Second edition adds extensive material from original works.