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Author: C.A.A. Briot
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author: C.A.A. Briot
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author: Olivier Darrigol
Publisher: Oxford University Press
ISBN: 0192666185
Category : Science
Languages : en
Pages : 440
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Motion is always relative to some thing. Is this thing a concrete body like the earth, is it an abstract space, or is it an imagined frame? Do the laws of physics depend on the choice of reference? It there a choice for which the laws are simplest? Is this choice unique? Is there a physical cause for the choice made? These questions traverse the history of modern physics from Galileo to Einstein. The answers involved Galilean relativity, Newton's absolute space, the purely relational concepts of Descartes, Leibniz, and Mach, and many forgotten uses of relativity principles in mechanics, optics, and electrodynamics - until the relativity theories of Poincaré, Einstein, Minkowksi, and Laue radically redefined space and time to satisfy universal kinds of relativity. Accordingly, this book retraces the emergence of relativity principles in early modern mechanics, documents their constructive use in eighteenth- and nineteenth-century mechanics, optics, and electrodynamics, and gives a well-rooted account of the genesis of special and general relativity in the early twentieth century. As an exercise in long-term history, it demonstrates the connectivity of issues and approaches across several centuries, despite enormous changes in context and culture. As an account of the genesis of relativity theories, it brings unprecedented clarity and fullness by broadening the spectrum of resources on which the principal actors drew.
Author: Jeremy Gray
Publisher: Princeton University Press
ISBN: 0691242038
Category : Biography & Autobiography
Languages : en
Pages : 608
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A comprehensive look at the mathematics, physics, and philosophy of Henri Poincaré Henri Poincaré (1854–1912) was not just one of the most inventive, versatile, and productive mathematicians of all time—he was also a leading physicist who almost won a Nobel Prize for physics and a prominent philosopher of science whose fresh and surprising essays are still in print a century later. The first in-depth and comprehensive look at his many accomplishments, Henri Poincaré explores all the fields that Poincaré touched, the debates sparked by his original investigations, and how his discoveries still contribute to society today. Math historian Jeremy Gray shows that Poincaré's influence was wide-ranging and permanent. His novel interpretation of non-Euclidean geometry challenged contemporary ideas about space, stirred heated discussion, and led to flourishing research. His work in topology began the modern study of the subject, recently highlighted by the successful resolution of the famous Poincaré conjecture. And Poincaré's reformulation of celestial mechanics and discovery of chaotic motion started the modern theory of dynamical systems. In physics, his insights on the Lorentz group preceded Einstein's, and he was the first to indicate that space and time might be fundamentally atomic. Poincaré the public intellectual did not shy away from scientific controversy, and he defended mathematics against the attacks of logicians such as Bertrand Russell, opposed the views of Catholic apologists, and served as an expert witness in probability for the notorious Dreyfus case that polarized France. Richly informed by letters and documents, Henri Poincaré demonstrates how one man's work revolutionized math, science, and the greater world.
Author: Felix E. Browder
Publisher: American Mathematical Soc.
ISBN: 0821814494
Category : Mathematics
Languages : en
Pages : 478
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On April 7-10, 1980, the American Mathematical Society sponsored a Symposium on the Mathematical Heritage of Henri Poincari, held at Indiana University, Bloomington, Indiana. This volume presents the written versions of all but three of the invited talks presented at this Symposium (those by W. Browder, A. Jaffe, and J. Mather were not written up for publication). In addition, it contains two papers by invited speakers who were not able to attend, S. S. Chern and L. Nirenberg. If one traces the influence of Poincari through the major mathematical figures of the early and midtwentieth century, it is through American mathematicians as well as French that this influence flows, through G. D. Birkhoff, Solomon Lefschetz, and Marston Morse. This continuing tradition represents one of the major strands of American as well as world mathematics, and it is as a testimony to this tradition as an opening to the future creativity of mathematics that this volume is dedicated. This part contains sections on topological methods in nonlinear problems, mechanics and dynamical systems, ergodic theory and recurrence, and historical material.
Author: John Michels (Journalist)
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 1022
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Vols. for 1911-13 contain the Proceedings of the Helminothological Society of Washington, ISSN 0018-0120, 1st-15th meeting.
Author: Bertrand Duplantier
Publisher: Springer
ISBN: 3034808348
Category : Mathematics
Languages : en
Pages : 246
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This thirteenth volume of the Poincaré Seminar Series, Henri Poincaré, 1912-2012, is published on the occasion of the centennial of the death of Henri Poincaré in 1912. It presents a scholarly approach to Poincaré’s genius and creativity in mathematical physics and mathematics. Its five articles are also highly pedagogical, as befits their origin in lectures to a broad scientific audience. Highlights include “Poincaré’s Light” by Olivier Darrigol, a leading historian of science, who uses light as a guiding thread through much of Poincaré ’s physics and philosophy, from the application of his superior mathematical skills and the theory of diffraction to his subsequent reflections on the foundations of electromagnetism and the electrodynamics of moving bodies; the authoritative “Poincaré and the Three-Body Problem” by Alain Chenciner, who offers an exquisitely detailed, hundred-page perspective, peppered with vivid excerpts from citations, on the monumental work of Poincaré on this subject, from the famous (King Oscar’s) 1889 memoir to the foundations of the modern theory of chaos in “Les méthodes nouvelles de la mécanique céleste.” A profoundly original and scholarly presentation of the work by Poincaré on probability theory is given by Laurent Mazliak in “Poincaré’s Odds,” from the incidental first appearance of the word “probability” in Poincaré’s famous 1890 theorem of recurrence for dynamical systems, to his later acceptance of the unavoidability of probability calculus in Science, as developed to a great extent by Emile Borel, Poincaré’s main direct disciple; the article by Francois Béguin, “Henri Poincaré and the Uniformization of Riemann Surfaces,” takes us on a fascinating journey through the six successive versions in twenty-six years of the celebrated uniformization theorem, which exemplifies the Master’s distinctive signature in the foundational fusion of mathematics and physics, on which conformal field theory, string theory and quantum gravity so much depend nowadays; the final chapter, “Harmony and Chaos, On the Figure of Henri Poincaré” by the filmmaker Philippe Worms, describes the homonymous poetical film in which eminent scientists, through mathematical scenes and physical experiments, display their emotional relationship to the often elusive scientific truth and universal “harmony and chaos” in Poincaré’s legacy. This book will be of broad general interest to physicists, mathematicians, philosophers of science and historians.
Author: Victor Guillemin
Publisher: American Mathematical Soc.
ISBN: 0821816330
Category : Mathematics
Languages : en
Pages : 500
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Symplectic geometry and the theory of Fourier integral operators are modern manifestations of themes that have occupied a central position in mathematical thought for the past three hundred years--the relations between the wave and the corpuscular theories of light. The purpose of this book is to develop these themes, and present some of the recent advances, using the language of differential geometry as a unifying influence.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 1050
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Author: T.F Glick
Publisher: Springer Science & Business Media
ISBN: 9400938756
Category : History
Languages : en
Pages : 419
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The present volume grew out of a double session of the Boston Collo quium for the Philosophy of Science held in Boston on March 25, 1983. The papers presented there (by Biezunski, Glick, Goldberg, and Judith Goodstein!) offered both sufficient comparability to establish regulari ties in the reception of relativity and Einstein's impact in France, Spain, the United States and Italy, and sufficient contrast to suggest the salience of national inflections in the process. The interaction among the participants and the added perspectives offered by members of the audience suggested the interest of commissioning articles for a more inclusive volume which would cover as many national cases as we could muster. Only general guidelines were given to the authors: to treat the special or general theories, or both, hopefully in a multidisciplinary setting, to examine the popular reception of relativity, or Einstein's personal impact, or to survey all these topics. In a previous volume, on the 2 comparative reception of Darwinism, one of us devised a detailed set of guidelines which in general were not followed. In our opinion, the studies in this collection offer greater comparability, no doubt because relativity by its nature and its complexity offers a sharper, more easily bounded target. As in the Darwinism volume, this book concludes with an essay intended to draw together in comparative perspective some of many themes addressed by the participants.
Author: Royal Society (Great Britain)
Publisher:
ISBN:
Category : Learned institutions and societies
Languages : en
Pages : 1058
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