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.

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: 479
Release: 2021-03-18
Genre: Mathematics
ISBN: 1108709370

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

Fourier Analysis and Boundary Value Problems

Fourier Analysis and Boundary Value Problems
Author: Enrique A. Gonzalez-Velasco
Publisher: Elsevier
Total Pages: 565
Release: 1996-11-28
Genre: Mathematics
ISBN: 0080531938

Fourier Analysis and Boundary Value Problems provides a thorough examination of both the theory and applications of partial differential equations and the Fourier and Laplace methods for their solutions. Boundary value problems, including the heat and wave equations, are integrated throughout the book. Written from a historical perspective with extensive biographical coverage of pioneers in the field, the book emphasizes the important role played by partial differential equations in engineering and physics. In addition, the author demonstrates how efforts to deal with these problems have lead to wonderfully significant developments in mathematics. A clear and complete text with more than 500 exercises, Fourier Analysis and Boundary Value Problems is a good introduction and a valuable resource for those in the field. - Topics are covered from a historical perspective with biographical information on key contributors to the field - The text contains more than 500 exercises - Includes practical applications of the equations to problems in both engineering and physics

Speculative Truth

Speculative Truth
Author: Russell McCormmach
Publisher: Oxford University Press
Total Pages: 272
Release: 2004-03-18
Genre: Science
ISBN: 0190289511

With a never-before published paper by Lord Henry Cavendish, as well as a biography on him, this book offers a fascinating discourse on the rise of scientific attitudes and ways of knowing. A pioneering British physicist in the late 18th and early 19th centuries, Cavendish was widely considered to be the first full-time scientist in the modern sense. Through the lens of this unique thinker and writer, this book is about the birth of modern science.