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Author: Hankins
Publisher: CRC Press
ISBN: 9782881243998
Category : Medical
Languages : en
Pages : 276
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Book Description
This book examines the origins of d'Alembert's philosophical ideas, and shows how abstract concepts such as force and mass were clarified and assimilated into the structure of classical mechanics. But more than this, the book is a study of the relations between science and philosophy during the Enlightenment, as reflected in the life and work of Jean d'Alembert, one of that period's most prominent spokesmen. By showing the interactions of one "philosophe" with the scientific, social and philosophical communities of the eighteenth century, Professor Hankins reveals how Enlightenment philosophy borrowed heavily from the methods and goals of science.
Author: Hankins
Publisher: CRC Press
ISBN: 9782881243998
Category : Medical
Languages : en
Pages : 276
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Book Description
This book examines the origins of d'Alembert's philosophical ideas, and shows how abstract concepts such as force and mass were clarified and assimilated into the structure of classical mechanics. But more than this, the book is a study of the relations between science and philosophy during the Enlightenment, as reflected in the life and work of Jean d'Alembert, one of that period's most prominent spokesmen. By showing the interactions of one "philosophe" with the scientific, social and philosophical communities of the eighteenth century, Professor Hankins reveals how Enlightenment philosophy borrowed heavily from the methods and goals of science.
Author: I. Grattan-Guinness
Publisher: Princeton University Press
ISBN: 0691219664
Category : Mathematics
Languages : en
Pages : 318
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Book Description
From the Calculus to Set Theory traces the development of the calculus from the early seventeenth century through its expansion into mathematical analysis to the developments in set theory and the foundations of mathematics in the early twentieth century. It chronicles the work of mathematicians from Descartes and Newton to Russell and Hilbert and many, many others while emphasizing foundational questions and underlining the continuity of developments in higher mathematics. The other contributors to this volume are H. J. M. Bos, R. Bunn, J. W. Dauben, T. W. Hawkins, and K. Møller-Pedersen.
Author: Robert Millard Jones
Publisher: Bull Ridge Corporation
ISBN: 0978722310
Category : Deformations (Mechanics)
Languages : en
Pages : 641
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Book Description
Author: Geoffrey V. Sutton
Publisher: Routledge
ISBN: 0429977042
Category : Social Science
Languages : en
Pages : 305
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Book Description
Traditional accounts of the scientific revolution focus on such thinkers as Copernicus, Galileo, and Newton, and usually portray it as a process of steady, rational progress. There is another side to this story, and its protagonists are more likely to be women than men, dilettante aristocrats than highly educated natural philosophers. The setting is not the laboratory, but rather the literary salons of seventeenth- and eighteenth-century France, and the action takes place sometime between Europe's last great witch hunts and the emergence of the modern world.Science for a Polite Society is an intriguing reexamination of the social, cultural, and intellectual context of the origins of modern science. The elite of French society accepted science largely because of their personal involvement and fascination with the emerging philosophy of nature. Members of salon society, especially women, were avid readers of works of natural philosophy and active participants in experiments for the edification of their peers. Some of these women went on to champion the new science and played a significant role in securing its acceptance by polite society.As Geoffrey Sutton points out, the sheer entertainment value of startling displays of electricity and chemical explosions would have played an important role in persuading the skeptical. We can only imagine the effects of such drawing-room experiments on an audience that lived in a world illuminated by tallow candles. For many, leaping electrical arcs and window-rattling detonations must have been as convincing as Newton's mathematically elegant description of the motions of the planets.With the acceptance and triumph of the new science came a prestige that made it a model of what rationality should be. The Enlightenment adopted the methods of scientific thought as the model for human progress. To be an ?enlightened? thinker meant believing that the application of scientific methods could reform political and economic life, to the lasting benefit of humanity. We live with the ambiguous results of that legacy even today, although in our own century we are perhaps more impressed by the ability of science to frighten, rather than to awe and entertain.
Author: Julian B. Barbour
Publisher: Oxford University Press, USA
ISBN: 0195132025
Category : Astronomy
Languages : en
Pages : 775
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Book Description
"Originally published as Absolute or relative motion? volume 1, The discovery of dynamics, Cambridge University Press, 1989".
Author: Nicholas J. Higham
Publisher: Princeton University Press
ISBN: 0691150397
Category : Mathematics
Languages : en
Pages : 1014
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Book Description
The must-have compendium on applied mathematics This is the most authoritative and accessible single-volume reference book on applied mathematics. Featuring numerous entries by leading experts and organized thematically, it introduces readers to applied mathematics and its uses; explains key concepts; describes important equations, laws, and functions; looks at exciting areas of research; covers modeling and simulation; explores areas of application; and more. Modeled on the popular Princeton Companion to Mathematics, this volume is an indispensable resource for undergraduate and graduate students, researchers, and practitioners in other disciplines seeking a user-friendly reference book on applied mathematics. Features nearly 200 entries organized thematically and written by an international team of distinguished contributors Presents the major ideas and branches of applied mathematics in a clear and accessible way Explains important mathematical concepts, methods, equations, and applications Introduces the language of applied mathematics and the goals of applied mathematical research Gives a wide range of examples of mathematical modeling Covers continuum mechanics, dynamical systems, numerical analysis, discrete and combinatorial mathematics, mathematical physics, and much more Explores the connections between applied mathematics and other disciplines Includes suggestions for further reading, cross-references, and a comprehensive index
Author: Oliver M. O'Reilly
Publisher: Cambridge University Press
ISBN: 1108494218
Category : Science
Languages : en
Pages : 545
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Book Description
A fully updated second edition providing a systematic treatment of engineering dynamics that covers Newton-Euler and Lagrangian approaches. It includes two completely revised chapters, a 350-page solutions manual for instructors, and numerous structured examples and exercises, and is suitable for both senior-level and first-year graduate courses.
Author: I. Bernard Cohen
Publisher: Cambridge University Press
ISBN: 9780521273800
Category : Biography & Autobiography
Languages : en
Pages : 428
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Book Description
This volume presents Professor Cohen's original interpretation of the revolution that marked the beginnings of modern science and set Newtonian science as the model for the highest level of achievement in other branches of science. It shows that Newton developed a special kind of relation between abstract mathematical constructs and the physical systems that we observe in the world around us by means of experiment and critical observation. The heart of the radical Newtonian style is the construction on the mind of a mathematical system that has some features in common with the physical world; this system was then modified when the deductions and conclusions drawn from it are tested against the physical universe. Using this system Newton was able to make his revolutionary innovations in celestial mechanics and, ultimately, create a new physics of central forces and the law of universal gravitation. Building on his analysis of Newton's methodology, Professor Cohen explores the fine structure of revolutionary change and scientific creativity in general. This is done by developing the concept of scientific change as a series of transformations of existing ideas. It is shown that such transformation is characteristic of many aspects of the sciences and that the concept of scientific change by transformation suggests a new way of examining the very nature of scientific creativity.
Author: Walter Herbert Gerstle
Publisher: World Scientific Publishing Company
ISBN: 981469956X
Category : Technology & Engineering
Languages : en
Pages : 427
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Book Description
Parting with the classical continuum concepts of stress and strain in the computational simulation of solids, this book proposes a peridynamic model that applies the model directly to particle lattices. The model is directly solvable on a computer.Introduction to Practical Peridynamics is both a graduate-level textbook and a treatise. The text provides the necessary foundations to understand and apply the state-based peridynamic lattice model, as well as a guide for the practical use of the model — for solving realistic structural engineering problems (particularly in reinforced concrete structures) in elasticity, plasticity, damage, fracture, and large deformations.Contents in this book include introductory chapters presenting the historical background of the subject; classical elasticity; computational solid modeling; continuum mechanics; fracture mechanics; particle dynamics simulations on parallel computers; as well as example simulations (with model applications).
Author: Penelope Maddy
Publisher: Oxford University Press
ISBN: 0199596182
Category : Mathematics
Languages : en
Pages : 161
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Book Description
Mathematics depends on proofs, and proofs must begin somewhere, from some fundamental assumptions. The axioms of set theory have long played this role, so the question of how they are properly judged is of central importance. Maddy discusses the appropriate methods for such evaluations and the philosophical backdrop that makes them appropriate.
