henri poincare

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Henri Poincar

Author : Jeremy Gray
ISBN : 9780691152714
Genre : Biography & Autobiography
File Size : 36. 63 MB
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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.

Science And Method

Author : Henri Poincaré
ISBN : 9780486165707
Genre : Mathematics
File Size : 55. 19 MB
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Classic account of basic methodology and psychology of scientific discovery explains how scientists analyze and choose their working facts and explores the nature of experimentation, theory, and the mind. 1914 edition.

Science And Hypothesis

Author : Henri Poincaré
ISBN : 9780486143484
Genre : Philosophy
File Size : 29. 97 MB
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Nontechnical essays on hypothesis in physical theory, concept of number, magnitude, force, intuition vs. logic, more. Chapters include "On the Nature of Mathematical Reasoning," "Mathematical Magnitude and Experiment," and "The Calculus of Probabilities."

New Methods Of Celestial Mechanics

Author : Henri Poincaré
ISBN : UIUC:30112106738997
Genre : Celestial mechanics
File Size : 73. 22 MB
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The Value Of Science

Author : Henri Poincare
ISBN : 9780307824066
Genre : Science
File Size : 78. 52 MB
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More than any other writer of the twentieth century, Henri Poincaré brought the elegant, but often complicated, ideas about science and mathematics to the general reader. A genius who throughout his life solved complex mathematical calculations in his head, and a writer gifted with an inimitable style, Poincaré rose to the challenge of interpreting the philosophy of science to scientists and nonscientists alike. His lucid and welcoming prose made him the Carl Sagan of his time. This volume collects his three most important books: Science and Hypothesis (1903); The Value of Science (1905); and Science and Method (1908).

The Mathematical Heritage Of Henri Poincar

Author : Felix E. Browder
ISBN : 9780821814499
Genre : Mathematics
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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.

Henri Poincar

Author : Jean-Marc Ginoux
ISBN : 9789814556637
Genre : Science
File Size : 80. 16 MB
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On July 17, 2012, the centenary of Henri Poincaré's death was commemorated; his name being associated with so many fields of knowledge that he was considered as the Last Universalist. In Pure and Applied Mathematics, Physics, Astronomy, Engineering and Philosophy, his works have had a great impact all over the world. Poincaré acquired in his lifetime such a reputation that, both nationally and internationally, his life and career were made the object of various articles in the daily papers not only in France, but also in the USA. Some of his philosophical concepts have even caused sharp controversies in the Press (as we will discover in this book). This work presents an original portrait of Henri Poincaré based on various press cuttings from The New York Times, The San Francisco Sunday Call, The Times, The Sun, The Washington Post that chronicled unknown anecdotes of his life (for example, his first name was actually not Henri, but Henry; he obtained his high school diploma in sciences with a zero in mathematics, etc.). Such an approach enables the discovering of many forgotten or unknown aspects of his scientific and philosophical works as well as his important role in the public sphere. Contents:The Early Years:The Poincaré FamilyChildhood and StudiesInspector of Mines in VesoulThe Professor and the Savant:From the University of Caen to the SorbonneFrom the Sorbonne to the AcadémieThe Prize of King Oscar II of Sweden and NorwayThe Universal Thinker and the Public Figure:French Geodesy and the Fight Over the MeridianThe Controversy Over the Rotation of the EarthThe Philosophical Work and Its ImpactThe Committed Man:The Dreyfus AffairThe Role Model — The ImmortalLast Commitments, Last Works Readership: Scientists and historians of science. Keywords:Scientific Biography;Henri PoincaréKey Features:A biography through the daily papers which has been facilitated by the online newspaper archives provides, for the first time, an original portrait of Henri PoincaréReviews: “The full review in chapter 9 gives an excellent description of Poincaré's interpretation of non-Euclidean geometry and his wider views on mathematics, and it would make very informative reading for contemporary students of this subject. I very much enjoyed reading this book, it portrays many lesser-known aspects of Poincaré's life and work; and it is richly illustrated with facsimiles from a variety of unusual sources.” Mathematical Association of America “This book is a welcome addition to the many biographies of Poincaré that exist already. It sheds a light on Poincaré from a different perspective that we do not find elsewhere.” European Mathematical Society “Ginoux and Gerini have inspired this reviewer to further explore Poincaré's writings for the lay public.” CHOICE “The presentation of his involvement in Ernst Mach's thinking and the Earth's rotation is the high point of this small book.” CERN Courier

New Methods Of Celestial Mechanics

Author : Henri Poincare
ISBN : 1563961172
Genre : Science
File Size : 55. 26 MB
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Edited by Daniel Goroff, Harvard University This English-language edition of Poincare's landmark work is of interest not only to historians of science, but also to mathematicians. Beginning from an investigation of the three-body problem of Newtonian mechanics, Poincare lays the foundations of the qualitative solutions of differential equations. To investigate the long-unsolved problem of the stability of the Solar System, Poincare invented a number of new techniques including canonical transformations, asymptotic series expansions, and integral invariants. These "new methods" are even now finding applications in chaos and other contemporary disciplines. Contents: Volume I: Periodic and asymptotic solutions: Introduction by Daniel Goroff. Generalities and the Jacobi method. Series integration. Periodic solutions. Characteristic exponents. Nonexistence of uniform integrals. Approximate development of the perturbative function. Asymptotic solutions. Volume II: Approximations by series: Formal calculus. Methods of Newcomb and Lindstedt. Application to the study of secular variations. Application to the three-body problem. Application to orbits. Divergence of the Lindstedt series. Direct calculation of the series. Other methods of direct calculation. Gylden methods. Case of linear equations. Bohlin methods. Bohlin series. Extension of the Bohlin method. Volume III: Integral invariants and asymptotic properties of certain solutions: Integral invariants. Formation of invariants. Use of integral invariants. Integral invariants and asymptotic solutions. Poisson stability. Theory of consequents. Periodic solutions of the second kind. Different forms of the principle of least action.

Henri Poincare

Author : Jean-Marc Ginoux
ISBN : 9814556610
Genre : Mathematics
File Size : 76. 63 MB
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On July 17, 2012, the centenary of Henri Poincar 's death was commemorated; his name being associated with so many fields of knowledge that he was considered as the Last Universalist. In Pure and Applied Mathematics, Physics, Astronomy, Engineering and Philosophy, his works have had a great impact all over the world. Poincar acquired in his lifetime such a reputation that, both nationally and internationally, his life and career were made the object of various articles in the daily papers not only in France, but also in the USA. Some of his philosophical concepts have even caused sharp controversies in the Press (as we will discover in this book). This work presents an original portrait of Henri Poincar based on various press cuttings from The New York Times, The San Francisco Sunday Call, The Times, The Sun, The Washington Post that chronicled unknown anecdotes of his life (for example, his first name was actually not Henri, but Henry; he obtained his high school diploma in sciences with a zero in mathematics, etc.). Such an approach enables the discovering of many forgotten or unknown aspects of his scientific and philosophical works as well as his important role in the public sphere.

M Thodes Nouvelles De La M Canique C Leste

Author : Henri Poincaré
ISBN : 1563961148
Genre : Celestial mechanics
File Size : 27. 96 MB
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