Die Werke von Daniel Bernoulli

Die Werke von Daniel Bernoulli

Band 1: Medizin und Physiologie, Mathematische Jugendschriften, Postitionsastronomie Daniel Bernoulli, Volker Zimmermann David Speiser, Umberto Bottazzini, Mario Howald-Haller. 1 Daniel Bernoulli's early papers This section of the ...

Author: Daniel Bernoulli

Publisher: Springer Science & Business Media

ISBN: 3764352728

Category: Mathematics

Page: 501

View: 402

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.
Categories: Mathematics

Guide to Information Sources in Mathematics and Statistics

Guide to Information Sources in Mathematics and Statistics

Bernoulli, Daniel. Die Werke von Daniel Bernoulli. Edited by David Speiser. Basel, Switzerland; Boston: Birkhäuser, 1982- . Band. 1. Medizin und Physiologie; Mathematische Jugendschriften; Positionsastronomie. 528p. $187.20.

Author: Martha A. Tucker

Publisher: Libraries Unlimited

ISBN: 9781563087011

Category: Mathematics

Page: 348

View: 620

Publisher description: This book is a reference for librarians, mathematicians, and statisticians involved in college and research level mathematics and statistics in the 21st century. Part I is a historical survey of the past 15 years tracking this huge transition in scholarly communications in mathematics. Part II of the book is the bibliography of resources recommended to support the disciplines of mathematics and statistics. These resources are grouped by material type. Publication dates range from the 1800's onwards. Hundreds of electronic resources-some online, both dynamic and static, some in fixed media, are listed among the paper resources. A majority of listed electronic resources are free.
Categories: Mathematics

Abraham De Moivre

Abraham De Moivre

... Mathematics from Earliest Times to the Middle of the Eighteenth Century. London: J. Johnson. Bottazzini, U. (1996). Introduction to the mathematical writings from Daniel Bernoulli's youth. In Die Werke von Daniel Bernoulli, Band 1, ...

Author: David R. Bellhouse

Publisher: CRC Press

ISBN: 9781439865781

Category: Mathematics

Page: 266

View: 726

Extensively researched, this book traces the life and work of Abraham De Moivre as well as the state of probability and statistics in eighteenth-century Britain. It is the first extensive biography of De Moivre and is based on recently discovered material and translations, including some of De Moivre’s letters. The book begins with discussions on De Moivre’s early life in France and his initial work in pure mathematics with some excursions into celestial mechanics. It then describes his fundamental contributions to probability theory and applications, including those in finance and actuarial science. The author explores how De Moivre’s wide network of personal and professional connections often motivated his research. The book also covers De Moivre’s contemporaries and his impact on the field. Written in a clear, approachable style, this biography will appeal to historians and practitioners of the art of probability and statistics in a wide range of applications, including finance and actuarial science.
Categories: Mathematics

Die Werke Von Johann I und Nicolaus II Bernoulli

Die Werke Von Johann I und Nicolaus II Bernoulli

Band 6: Mechanik I Johann I Bernoulli, Jean Bernoulli, Nicolaus II Bernoulli Piero Villaggio, Patricia Radelet de Grave ... II Werke 1-10 Streitschriften Die Werke von Daniel Bernoulli , Basel : Birkhäuser , 1982Jacobi Bernoulli ...

Author: Johann I Bernoulli

Publisher: Springer Science & Business Media

ISBN: 3764373679

Category: Education

Page: 695

View: 338

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.
Categories: Education

Differential Equations

Differential Equations

[50] U. Bottazzini, The mathematical writings from Daniel Bernoulli's youth, Die Werke von Daniel Bernoulli: Band 1: Medizin und Physiologie, Mathematische Jugendschriften, Postitionsastronomie (D. Speiser and V. Zimmermann, eds.), vol.

Author: Marcelo Viana

Publisher: American Mathematical Society

ISBN: 9781470451141

Category: Mathematics

Page: 536

View: 876

This graduate-level introduction to ordinary differential equations combines both qualitative and numerical analysis of solutions, in line with Poincaré's vision for the field over a century ago. Taking into account the remarkable development of dynamical systems since then, the authors present the core topics that every young mathematician of our time—pure and applied alike—ought to learn. The book features a dynamical perspective that drives the motivating questions, the style of exposition, and the arguments and proof techniques. The text is organized in six cycles. The first cycle deals with the foundational questions of existence and uniqueness of solutions. The second introduces the basic tools, both theoretical and practical, for treating concrete problems. The third cycle presents autonomous and non-autonomous linear theory. Lyapunov stability theory forms the fourth cycle. The fifth one deals with the local theory, including the Grobman–Hartman theorem and the stable manifold theorem. The last cycle discusses global issues in the broader setting of differential equations on manifolds, culminating in the Poincaré–Hopf index theorem. The book is appropriate for use in a course or for self-study. The reader is assumed to have a basic knowledge of general topology, linear algebra, and analysis at the undergraduate level. Each chapter ends with a computational experiment, a diverse list of exercises, and detailed historical, biographical, and bibliographic notes seeking to help the reader form a clearer view of how the ideas in this field unfolded over time.
Categories: Mathematics

Microeconomics

Microeconomics

Figure 20.1 Daniel Bernoulli. (The image is from Die Werke von Daniel Bernoulli, band 1 [Birkh ̈auser Verlag, 1996].) with a positive expected value because the gain in utility associated with a rise in wealth is less than the loss in ...

Author: John P. Burkett

Publisher: Oxford University Press

ISBN: 9780195345919

Category: Business & Economics

Page: 352

View: 253

In this book, John P. Burkett presents microeconomics as an evolving science, interacting with mathematics, psychology, and other disciplines and offering solutions to a growing range of practical problems. The book shows how early contributors such as Xenophon, Ibn Khaldun, and David Hume posed the normative and positive questions central to microeconomics. It expounds constrained optimization techniques, as developed by economists and mathematicians from Daniel Bernoulli to Leonid Kantorovich, emphasizing their value in deriving norms of rational behavior and testable hypotheses about typical behavior. Applying these techniques, the book introduces partial equilibrium analysis of particular markets and general equilibrium analysis of market economies. The book both explains how laboratory and field experiments are used in testing economic hypotheses and provides materials for classroom experiments. It gives extensive and innovative coverage of recent findings in cognitive psychology and behavioral economics, which not only document behavior inconsistent with some traditional theories, but also advance positive theories with superior predictive power.
Categories: Business & Economics

The Navier Stokes Problem in the 21st Century

The Navier Stokes Problem in the 21st Century

Early studies on the outflow of water from vessels and Daniel Bernoulli's in Exercitationes quaedam mathematicae. In Die Werke von Daniel Bernoulli, Band 1: Medizin und Physiologie, pages 199–255. Birkhäuser, 1996. John Milnor.

Author: Pierre Gilles Lemarie-Rieusset

Publisher: CRC Press

ISBN: 9781466566231

Category: Mathematics

Page: 718

View: 117

Up-to-Date Coverage of the Navier–Stokes Equation from an Expert in Harmonic Analysis The complete resolution of the Navier–Stokes equation—one of the Clay Millennium Prize Problems—remains an important open challenge in partial differential equations (PDEs) research despite substantial studies on turbulence and three-dimensional fluids. The Navier–Stokes Problem in the 21st Century provides a self-contained guide to the role of harmonic analysis in the PDEs of fluid mechanics. The book focuses on incompressible deterministic Navier–Stokes equations in the case of a fluid filling the whole space. It explores the meaning of the equations, open problems, and recent progress. It includes classical results on local existence and studies criterion for regularity or uniqueness of solutions. The book also incorporates historical references to the (pre)history of the equations as well as recent references that highlight active mathematical research in the field.
Categories: Mathematics

A Short History of Mathematical Population Dynamics

A Short History of Mathematical Population Dynamics

Despite the works of Bernoulli and d'Alembert, inoculation was not performed on a large scale in France. ... on age: P∗(x) = P(x) 1− ∫x 0 p(y)q(y)e− ∫y 0q(z)dzdy . ... Also in: Die Werke von Daniel Bernoulli, Band 2, pp. 268– 274.

Author: Nicolas Bacaër

Publisher: Springer Science & Business Media

ISBN: 9780857291158

Category: Mathematics

Page: 160

View: 480

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.
Categories: Mathematics

Two Cultures

Two Cultures

Nouveau probleme de mécanique resolu. Mémoires de l'Académie des Sciences de Berlin 1, 1745 (1746): 54-70. ———. 1987. Die Werke von Daniel Bernoulli, Band 3 (Mechanik). Eds. David Speiser, A. De Baenst-Vandenbroucke, J. L. Pietenpol, ...

Author: Kim Williams

Publisher: Springer Science & Business Media

ISBN: 9783764375409

Category: Mathematics

Page: 202

View: 753

The extraordinary range of cultural interests of renowned physicist David Speiser—including the sciences, art, architecture, music, and history of science—has inspired generations of later scientists to look beyond the boundaries of their own disciplines. In this book, seventeen scholars from various fields pay tribute to his multifaceted career, addressing topics as varied as music theory and the nuclear arms race.
Categories: Mathematics

Festschrift for Lucien Le Cam

Festschrift for Lucien Le Cam

Bernoulli, D. (1982), Die Werke von Daniel Bernoulli: Band 2, Analysis, Wahrscheinlichkeitsrechnung., Birkhäuser, Basel. Bernoulli, J. III. (1785), 'Milieu', Encylopédie Méthodique; Mathématiques 2, 404–409. Figs. 2 and 3, Plate 1 of ...

Author: David Pollard

Publisher: Springer Science & Business Media

ISBN: 9781461218807

Category: Mathematics

Page: 435

View: 355

Contributed in honour of Lucien Le Cam on the occasion of his 70th birthday, the papers reflect the immense influence that his work has had on modern statistics. They include discussions of his seminal ideas, historical perspectives, and contributions to current research - spanning two centuries with a new translation of a paper of Daniel Bernoulli. The volume begins with a paper by Aalen, which describes Le Cams role in the founding of the martingale analysis of point processes, and ends with one by Yu, exploring the position of just one of Le Cams ideas in modern semiparametric theory. The other 27 papers touch on areas such as local asymptotic normality, contiguity, efficiency, admissibility, minimaxity, empirical process theory, and biological medical, and meteorological applications - where Le Cams insights have laid the foundations for new theories.
Categories: Mathematics