henri poincare

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Henri Poincar

Author : Jeremy Gray
ISBN : 9780691152714
Genre : Biography & Autobiography
File Size : 85. 97 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 : 75. 43 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.

Henri Poincar

Author : Ferdinand Verhulst
ISBN : 9781461424079
Genre : Mathematics
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The book describes the life of Henri Poincaré, his work style and in detail most of his unique achievements in mathematics and physics. Apart from biographical details, attention is given to Poincaré's contributions to automorphic functions, differential equations and dynamical systems, celestial mechanics, mathematical physics in particular the theory of the electron and relativity, topology (analysis situs). A chapter on philosophy explains Poincaré's conventionalism in mathematics and his view of conventionalism in physics; the latter has a very different character. In the foundations of mathematics his position is between intuitionism and axiomatics. One of the purposes of the book is to show how Poincaré reached his fundamentally new results in many different fields, how he thought and how one should read him. One of the new aspects is the description of two large fields of his attention: dynamical systems as presented in his book on `new methods for celestial mechanics' and his theoretical physics papers. At the same time it will be made clear how analysis and geometry are intertwined in Poincaré's thinking and work.In dynamical systems this becomes clear in his description of invariant manifolds, his association of differential equation flow with mappings and his fixed points theory. There is no comparable book on Poincaré, presenting such a relatively complete vision of his life and achievements. There exist some older biographies in the French language, but they pay only restricted attention to his actual work. The reader can obtain from this book many insights in the working of a very original mind while at the same time learning about fundamental results for modern science

Science And Hypothesis

Author : Henri Poincaré
ISBN : HARVARD:HC1I8T
Genre : Mathematics
File Size : 35. 49 MB
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Science And Hypothesis

Author : Henri Poincare
ISBN : 9781447486909
Genre : Science
File Size : 90. 19 MB
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"Science and Hypothesis" is a study written in 1902, by the French mathematician, Henri Poincaré. It was designed with non-specialist readers in mind, and contains information on mathematics, space, physics and biology. The main theme of this work is that the absolute truth of science is non-existent. It postulates that many scientific beliefs are closer to convenient conventions than valid explanations. The chapters of this book include: “Number and Magnitude”, “On the Nature of Mathematical Reasoning”, “Mathematical Magnitude and Experiment”, “Space”, “Non-Euclidean Geometries”, “Space and Geometry”, “Experiment and Geometry”, etcetera. Many vintage texts such as this are increasingly scarce and expensive, and it is with this in mind that we are republishing this book now, in an affordable, high-quality, modern edition. It comes complete with a specially commissioned biography of the author.

The Value Of Science

Author : Henri Poincare
ISBN : 9780307824066
Genre : Science
File Size : 62. 29 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
File Size : 76. 5 MB
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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.

New Methods Of Celestial Mechanics

Author : Henri Poincaré
ISBN : UIUC:30112106738997
Genre : Celestial mechanics
File Size : 34. 66 MB
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Henri Poincar

Author : Jean-Marc Ginoux
ISBN : 9789814556637
Genre : Science
File Size : 59. 64 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

The Foundations Of Science

Author : Henri Poincaré
ISBN : 9780557323661
Genre :
File Size : 82. 82 MB
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The Foundations of Science collects Henri Poincaré three most important books: Science and Hypothesis (1903); The Value of Science (1905); and Science and Method (1908). Reproduction of 1921 Edition.

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