Author: Isaac TodhunterPublisher:
ISBN:
Category :
Languages : en
Pages : 652
Book Description
A History of the Mathematical Theory of Probability
Author: Isaac TodhunterHistory of Mathematics, by David Eugene Smith: General survey of the history of elementary mathematics
Author: David Eugene SmithPublisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 622
Book Description
History of Mathematics: General survey of the history of elementary mathematics
Author: David Eugene SmithPublisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 638
Book Description
History of Strength of Materials
Author: Stephen TimoshenkoPublisher: Courier Corporation
ISBN: 9780486611877
Category : Technology & Engineering
Languages : en
Pages : 482
Book Description
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.
A Source Book in Mathematics
Author: David Eugene SmithPublisher: Courier Corporation
ISBN: 0486158292
Category : Mathematics
Languages : en
Pages : 756
Book Description
The writings of Newton, Leibniz, Pascal, Riemann, Bernoulli, and others in a comprehensive selection of 125 treatises dating from the Renaissance to the late 19th century — most unavailable elsewhere.
Writing the History of Mathematics: Its Historical Development
Author: Joseph W. DaubenPublisher: Springer Science & Business Media
ISBN: 9783764361679
Category : Mathematics
Languages : en
Pages : 776
Book Description
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.
The Quarterly Journal of Pure and Applied Mathematics
Author: The Bloomsbury Dictionary of Eighteenth-Century German Philosophers
Author: Heiner F. KlemmePublisher: Bloomsbury Publishing
ISBN: 1474255981
Category : Philosophy
Languages : en
Pages : 939
Book Description
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.
The Art of Conjecturing, Together with Letter to a Friend on Sets in Court Tennis
Author: Jacob BernoulliPublisher: JHU Press
ISBN: 9780801882357
Category : Mathematics
Languages : en
Pages : 468
Book Description
"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."
Bernoulli Numbers and Zeta Functions
Author: Tsuneo ArakawaPublisher: Springer
ISBN: 4431549196
Category : Mathematics
Languages : en
Pages : 278
Book Description
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.