Henri Poincare

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Henri Poincaré

Author : Jeremy Gray
Publisher : Princeton University Press
Page : 608 pages
File Size : 41,5 Mb
Release : 2022-12-13
Category : Biography & Autobiography
ISBN : 9780691242033

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Henri Poincaré by Jeremy Gray Pdf

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.

Henri Poincaré

Author : Ferdinand Verhulst
Publisher : Springer Science & Business Media
Page : 266 pages
File Size : 54,9 Mb
Release : 2012-08-11
Category : Mathematics
ISBN : 9781461424079

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Henri Poincaré by Ferdinand Verhulst Pdf

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 Poincare
Publisher : Read Books Ltd
Page : 262 pages
File Size : 40,7 Mb
Release : 2016-03-31
Category : Science
ISBN : 9781447486909

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Science and Hypothesis by Henri Poincare Pdf

"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.

Science and Method

Author : Henri Poincaré
Publisher : Courier Corporation
Page : 308 pages
File Size : 49,7 Mb
Release : 2013-02-21
Category : Mathematics
ISBN : 9780486165707

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Science and Method by Henri Poincaré Pdf

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.

The Foundations of Science: Science and Hypothesis, The Value of Science, Science and Method

Author : Henri Poincaré
Publisher : DigiCat
Page : 556 pages
File Size : 47,9 Mb
Release : 2022-08-01
Category : Philosophy
ISBN : EAN:8596547124986

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The Foundations of Science: Science and Hypothesis, The Value of Science, Science and Method by Henri Poincaré Pdf

DigiCat Publishing presents to you this special edition of "The Foundations of Science: Science and Hypothesis, The Value of Science, Science and Method" by Henri Poincaré. DigiCat Publishing considers every written word to be a legacy of humankind. Every DigiCat book has been carefully reproduced for republishing in a new modern format. The books are available in print, as well as ebooks. DigiCat hopes you will treat this work with the acknowledgment and passion it deserves as a classic of world literature.

The Mathematical Heritage of Henri Poincare

Author : Felix E. Browder
Publisher : American Mathematical Soc.
Page : 478 pages
File Size : 44,6 Mb
Release : 1983-12-31
Category : Mathematics
ISBN : 9780821814499

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The Mathematical Heritage of Henri Poincare by Felix E. Browder Pdf

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 Poincaré, 1912–2012

Author : Bertrand Duplantier,Vincent Rivasseau
Publisher : Springer
Page : 246 pages
File Size : 50,8 Mb
Release : 2014-11-14
Category : Mathematics
ISBN : 9783034808347

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Henri Poincaré, 1912–2012 by Bertrand Duplantier,Vincent Rivasseau Pdf

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.

The Principles of Mathematical Physics

Author : Henri Poincaré
Publisher : DigiCat
Page : 35 pages
File Size : 43,6 Mb
Release : 2022-07-21
Category : History
ISBN : EAN:8596547098881

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The Principles of Mathematical Physics by Henri Poincaré Pdf

You will marvel at these principles of mathematical physics written by Henri Poincare, one of the most famous French mathematicians. Contents: History of Mathematical Physics, The Present Crisis of Mathematical Physics, The Future of Mathematical Physics.

Henri Poincaré: Electrons to Special Relativity

Author : Bruce D Popp
Publisher : Springer Nature
Page : 285 pages
File Size : 45,6 Mb
Release : 2020-08-04
Category : Science
ISBN : 9783030480394

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Henri Poincaré: Electrons to Special Relativity by Bruce D Popp Pdf

Produced by an award-winning translator of Henri Poincaré, this book contains translations of several seminal articles by Poincaré and discusses the experimental and theoretical investigations of electrons that form their context. In the 1950s, a dispute ignited about the origin of the theory of special relativity and thrust considerable notoriety on a paper written by Henri Poincaré in 1905. Accordingly, Part I presents the relevant translations of Poincaré’s work showing that radiation carries momentum and the covariance of the equations of electrodynamics, the continuity equation for charge, and the spacetime interval. Part II then discusses investigations by Thomson, Becquerel, and Kaufmann of electrons in diverse contexts; contributions of Abraham, Lorentz and Poincaré to a theory of electrons that includes Lorentz transformations and explains the dependence of mass on velocity; and finally, Poincaré’s exploration of the relativity principle, electron stability, and gravitation while rejecting absolute motion (ether) and an electromagnetic origin of mass. Part III contains the 1904 article by H. A. Lorentz presenting his transformations.This book will be a fascinating read to graduate-level students, physicists, and science historians who are interested in the development of electrodynamics and the classical, relativistic theory of electrons at the beginning of the 20th century.

Henri Poincare: A Scientific Biography

Author : Jeremy Gray
Publisher : Prabhat Prakashan
Page : 8 pages
File Size : 40,6 Mb
Release : 2012-01-01
Category : Biography & Autobiography
ISBN : 8210379456XXX

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Henri Poincare: A Scientific Biography by Jeremy Gray Pdf

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.

The Mathematical Heritage of Henri Poincaré

Author : Felix E. Browder
Publisher : American Mathematical Soc.
Page : 449 pages
File Size : 49,9 Mb
Release : 1983
Category : Mathematics
ISBN : 9780821814482

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The Mathematical Heritage of Henri Poincaré by Felix E. Browder Pdf

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 title presents the written versions this Symposium. It contains two papers by invited speakers who were not able to attend, S S Chern and L Nirenberg.

Henri Poincare

Author : Jean-Marc Ginoux,Christian Gerini
Publisher : World Scientific Publishing Company Incorporated
Page : 238 pages
File Size : 46,6 Mb
Release : 2014
Category : Mathematics
ISBN : 9814556610

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Henri Poincare by Jean-Marc Ginoux,Christian Gerini Pdf

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.

Poincare and the Three Body Problem

Author : June Barrow-Green
Publisher : American Mathematical Soc.
Page : 294 pages
File Size : 53,8 Mb
Release : 1997
Category : Biography & Autobiography
ISBN : 0821803670

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Poincare and the Three Body Problem by June Barrow-Green Pdf

Poincare's famous memoir on the three body problem arose from his entry in the competition celebrating the 60th birthday of King Oscar of Sweden and Norway. His essay won the prize and was set up in print as a paper in Acta Mathematica when it was found to contain a deep and critical error. In correcting this error Poincare discovered mathematical chaos, as is now clear from June Barrow-Green's pioneering study of a copy of the original memoir annotated by Poincare himself, recently discovered in the Institut Mittag-Leffler in Stockholm. Poincare and the Three Body Problem opens with a discussion of the development of the three body problem itself and Poincare's related earlier work. The book also contains intriguing insights into the contemporary European mathematical community revealed by the workings of the competition. After an account of the discovery of the error and a detailed comparative study of both the original memoir and its rewritten version, the book concludes with an account of the final memoir's reception, influence and impact, and an examination of Poincare's subsequent highly influential work in celestial mechanics.

The Three-Body Problem and the Equations of Dynamics

Author : Henri Poincaré
Publisher : Springer
Page : 265 pages
File Size : 55,5 Mb
Release : 2017-05-11
Category : Mathematics
ISBN : 9783319528991

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The Three-Body Problem and the Equations of Dynamics by Henri Poincaré Pdf

Here is an accurate and readable translation of a seminal article by Henri Poincaré that is a classic in the study of dynamical systems popularly called chaos theory. In an effort to understand the stability of orbits in the solar system, Poincaré applied a Hamiltonian formulation to the equations of planetary motion and studied these differential equations in the limited case of three bodies to arrive at properties of the equations’ solutions, such as orbital resonances and horseshoe orbits. Poincaré wrote for professional mathematicians and astronomers interested in celestial mechanics and differential equations. Contemporary historians of math or science and researchers in dynamical systems and planetary motion with an interest in the origin or history of their field will find his work fascinating.

The Poincaré Conjecture

Author : Donal O'Shea
Publisher : Penguin UK
Page : 284 pages
File Size : 54,9 Mb
Release : 2008-10-30
Category : Science
ISBN : 9780141900346

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The Poincaré Conjecture by Donal O'Shea Pdf

The Poincaré Conjecture tells the story behind one of the world’s most confounding mathematical theories. Formulated in 1904 by Henri Poincaré, his Conjecture promised to describe the very shape of the universe, but remained unproved until a huge prize was offered for its solution in 2000. Six years later, an eccentric Russian mathematician had the answer. Here, Donal O’Shea explains the maths behind the Conjecture and its proof, and illuminates the curious personalities surrounding this perplexing conundrum, along the way taking in a grand sweep of scientific history from the ancient Greeks to Christopher Columbus. This is an enthralling tale of human endeavour, intellectual brilliance and the thrill of discovery.