Download or read book Die Mathematiker Bernoulli written by Peter Merian Thurneysen and published by Legare Street Press. This book was released on 2022-10-27 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Download or read book History of Strength of Materials written by Stephen Timoshenko and published by Courier Corporation. This book was released on 1983-01-01 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: Strength of materials is that branch of engineering concerned with the deformation and disruption of solids when forces other than changes in position or equilibrium are acting upon them. The development of our understanding of the strength of materials has enabled engineers to establish the forces which can safely be imposed on structure or components, or to choose materials appropriate to the necessary dimensions of structures and components which have to withstand given loads without suffering effects deleterious to their proper functioning. This excellent historical survey of the strength of materials with many references to the theories of elasticity and structures is based on an extensive series of lectures delivered by the author at Stanford University, Palo Alto, California. Timoshenko explores the early roots of the discipline from the great monuments and pyramids of ancient Egypt through the temples, roads, and fortifications of ancient Greece and Rome. The author fixes the formal beginning of the modern science of the strength of materials with the publications of Galileo's book, "Two Sciences," and traces the rise and development as well as industrial and commercial applications of the fledgling science from the seventeenth century through the twentieth century. Timoshenko fleshes out the bare bones of mathematical theory with lucid demonstrations of important equations and brief biographies of highly influential mathematicians, including: Euler, Lagrange, Navier, Thomas Young, Saint-Venant, Franz Neumann, Maxwell, Kelvin, Rayleigh, Klein, Prandtl, and many others. These theories, equations, and biographies are further enhanced by clear discussions of the development of engineering and engineering education in Italy, France, Germany, England, and elsewhere. 245 figures.

Download or read book Die Werke von Jakob Bernoulli without special title written by Jakob Bernoulli and published by . This book was released on 1969 with total page 604 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book History of Mathematics General survey of the history of elementary mathematics written by David Eugene Smith and published by . This book was released on 1923 with total page 638 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book A History of the Mathematical Theory of Probability from the Time of Pascal to that of Laplace written by Isaac Todhunter and published by . This book was released on 1865 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Bloomsbury Dictionary of Eighteenth Century German Philosophers written by Heiner F. Klemme and published by Bloomsbury Publishing. This book was released on 2016-06-30 with total page 880 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Bloomsbury Dictionary of Eighteenth-Century German Philosophers is a landmark work. Covering one of the most innovative centuries for philosophical investigation, it features more than 650 entries on the eighteenth-century philosophers, theologians, jurists, physicians, scholars, writers, literary critics and historians whose work has had lasting philosophical significance. Alongside well-known German philosophers of that era-Gottfried Wilhelm Leibniz, Immanuel Kant, and Georg Wilhelm Friedrich Hegel-the Dictionary provides rare insights into the lives and minds of lesser-known individuals who influenced the shape of philosophy. Each entry discusses a particular philosopher's life, contributions to the world of thought, and later influences, focusing not only on their most important published writings, but on relevant minor works as well. Bibliographical references to primary and secondary source material are included at the end of entries to encourage further reading, while extensive cross-referencing allows comparisons to be easily made between different thinkers' ideas and practices. For anyone looking to understand more about the century when enlightenment thinking arrived in Germany and established conceits were challenged, The Bloomsbury Dictionary of Eighteenth-Century German Philosophers is a valuable, unparalleled resource.

Download or read book History of Mathematics by David Eugene Smith General survey of the history of elementary mathematics written by David Eugene Smith and published by . This book was released on 1923 with total page 622 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Die Werke von Daniel Bernoulli written by Daniel Bernoulli and published by Springer Science & Business Media. This book was released on 1996-10-28 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book The Quarterly Journal of Pure and Applied Mathematics written by and published by . This book was released on 1879 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Writing the History of Mathematics Its Historical Development written by Joseph W. Dauben and published by Springer Science & Business Media. This book was released on 2002-09-23 with total page 776 pages. Available in PDF, EPUB and Kindle. Book excerpt: As an historiographic monograph, this book offers a detailed survey of the professional evolution and significance of an entire discipline devoted to the history of science. It provides both an intellectual and a social history of the development of the subject from the first such effort written by the ancient Greek author Eudemus in the Fourth Century BC, to the founding of the international journal, Historia Mathematica, by Kenneth O. May in the early 1970s.

Download or read book The Art of Conjecturing Together with Letter to a Friend on Sets in Court Tennis written by Jacob Bernoulli and published by JHU Press. This book was released on 2006 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Part I reprints and reworks Huygens's On Reckoning in Games of Chance. Part II offers a thorough treatment of the mathematics of combinations and permutations, including the numbers since known as "Bernoulli numbers." In Part III, Bernoulli solves more complicated problems of games of chance using that mathematics. In the final part, Bernoulli's crowning achievement in mathematical probability becomes manifest he applies the mathematics of games of chance to the problems of epistemic probability in civil, moral, and economic matters, proving what we now know as the weak law of large numbers."

Download or read book British Museum Catalogue of printed Books written by and published by . This book was released on 1884 with total page 770 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Bernoulli Numbers and Zeta Functions written by Tsuneo Arakawa and published by Springer. This book was released on 2014-07-11 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two major subjects are treated in this book. The main one is the theory of Bernoulli numbers and the other is the theory of zeta functions. Historically, Bernoulli numbers were introduced to give formulas for the sums of powers of consecutive integers. The real reason that they are indispensable for number theory, however, lies in the fact that special values of the Riemann zeta function can be written by using Bernoulli numbers. This leads to more advanced topics, a number of which are treated in this book: Historical remarks on Bernoulli numbers and the formula for the sum of powers of consecutive integers; a formula for Bernoulli numbers by Stirling numbers; the Clausen–von Staudt theorem on the denominators of Bernoulli numbers; Kummer's congruence between Bernoulli numbers and a related theory of p-adic measures; the Euler–Maclaurin summation formula; the functional equation of the Riemann zeta function and the Dirichlet L functions, and their special values at suitable integers; various formulas of exponential sums expressed by generalized Bernoulli numbers; the relation between ideal classes of orders of quadratic fields and equivalence classes of binary quadratic forms; class number formula for positive definite binary quadratic forms; congruences between some class numbers and Bernoulli numbers; simple zeta functions of prehomogeneous vector spaces; Hurwitz numbers; Barnes multiple zeta functions and their special values; the functional equation of the doub le zeta functions; and poly-Bernoulli numbers. An appendix by Don Zagier on curious and exotic identities for Bernoulli numbers is also supplied. This book will be enjoyable both for amateurs and for professional researchers. Because the logical relations between the chapters are loosely connected, readers can start with any chapter depending on their interests. The expositions of the topics are not always typical, and some parts are completely new.

Download or read book Die Werke Von Johann I und Nicolaus II Bernoulli written by Johann I Bernoulli and published by Springer Science & Business Media. This book was released on 2007-11-14 with total page 728 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Leibnizens Mathematische Schriften Herausgegeben Von C I Gerhardt written by Gottfried Wilhelm Freiherr von Leibniz and published by Theclassics.Us. This book was released on 1855 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: . 1860 edition.: ...pro ipso aequipollens (ut volunt) pondus C ut 1 celeritate ut 2, quod ascendat usque ad C seu ad altitudinem 4 pedum. Itaque solo descensu ponderis A duarum librarum ex altitudine unius pedis 2AH, substitutoque aequipollente, effecimus ascensum librae unius ad pedes quatuor, quod est duplum prioris. Ergo tantundem virium lucrati sumus, seu motum mechanicum perpetuum effecimus, quod utique absurdum est. Nec refert, an per motuum leges actu efficere possimus hanc substitutionem; nam inter aequipollentia etiam mente tuto fieri substitutio potest. Quamquam etiam varias rationes excogitaverimus, quibus actu tam propo quam velis efficeretur, ut vis tota corporis A transferretur in corpus C, antea quiescens, sed quod nunc (ipso A ad quietem redacto) sit solum in motu positum. Unde fieret, ut pro pondere bilibri celeritatis ut 1 successura esset libra una celeritatis ut 2, si haec aequipollerent; unde absurdum oriri ostendimus. Neque ista sane inania sunt, aut in logomachiis consistunt, sed in machinis et motibus comparandis maxiinum usum habent. Nam si quis vim habeat ab aqua vel animalibns vel alia causa, per quam corpus grave centum librarum in motu constanti conservetur, quo intra minuti temporis quartam partem absolvere possit circulum horizontalem diametri triginta pedum; alius vero ejus loco eodem tempore duplum pondus nonnisi dimidium circulum constanter absoivere praestet, minore impensa, idque tibi velut in lucrum imputet; deceptum te ac dimidia virium parte frustratum scito. Sed nunc fugatis erroribus, veras et saue admirandas Naturae leges paulo distinctius in Schediasmatis hujus parte secunda proponemus. XVI, SPECIMEN DYNAMICUM PRO ADMIRANDIS NATURAE LEGIBUS CIRCA CORPORUM VIRES ET MUTUAS ACTIONES DETEGENDIS ET AD SUAS CAUSAS REVOCANDIS. Pars II. Natura corporis, imo substantiae in universum non satis cognita effecerat (quod jam attigimus) ut insignes quidem philosophi nostri temporis, cum corporis notionem in sola extensione...

Download or read book Leonhard Euler and the Bernoullis written by M. B. W. Tent and published by CRC Press. This book was released on 2009-09-18 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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 dy

Download or read book American Journal of Mathematics written by and published by . This book was released on 1882 with total page 798 pages. Available in PDF, EPUB and Kindle. Book excerpt: