" Vivid . . . immense clarity . . . the product of a brilliant and extremely forceful intellect." — Journal of the Royal Naval Scientific Service "Still a sheer joy to read." — Mathematical Gazette "Should be read by any student, teacher or researcher in mathematics." — Mathematics Teacher The originator of algebraic topology and of the theory of analytic functions of several complex variables, Henri Poincare (1854–1912) excelled at explaining the complexities of scientific and mathematical ideas to (...) lay readers. Science and Method, written in 1908, has been appreciated by a wide audience of nonprofessionals and translated into many languages. It defines the basic methodology and psychology of scientific discovery, particularly in regard to mathematics and mathematical physics. Drawing on examples from many fields, it explains how scientists analyze and choose their working facts, and it explores the nature of experimentation, theory, and the mind. 1914 edition. Translated by Francis Maitland. (shrink)

" Vivid . . . immense clarity . . . the product of a brilliant and extremely forceful intellect." — Journal of the Royal Naval Scientific Service "Still a sheer joy to read." — Mathematical Gazette "Should be read by any student, teacher or researcher in mathematics." — Mathematics Teacher The originator of algebraic topology and of the theory of analytic functions of several complex variables, Henri Poincare (1854–1912) excelled at explaining the complexities of scientific and mathematical ideas to (...) lay readers. Science and Method, written in 1908, has been appreciated by a wide audience of nonprofessionals and translated into many languages. It defines the basic methodology and psychology of scientific discovery, particularly in regard to mathematics and mathematical physics. Drawing on examples from many fields, it explains how scientists analyze and choose their working facts, and it explores the nature of experimentation, theory, and the mind. 1914 edition. Translated by Francis Maitland. (shrink)

THE VALUE OF SCIENCE INTRODUCTION The search for truth should be the goal of our activities; it is the sole end worthy of them. Doubtless we should first bend our efforts to assuage human suffering, but why ? Not to suffer is a negative ...

Le savant et la science -- Le raisonnement mathématique -- La mécanique nouvelle -- La science astronomique.

"Science et méthode" de Henri Poincaré. Mathématicien, physicien et philosophe français (1854-1912).

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain (...) in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant. (shrink)

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in (...) the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant. (shrink)

"Dernières pensées" de Henri Poincaré. Mathématicien, physicien et philosophe français (1854-1912).

"La Valeur de la Science" de Henri Poincaré. Mathématicien, physicien et philosophe français (1854-1912).

On the nature of mathematical reasoning -- Mathematical magnitude and experience -- Non-Euclidian geometries -- Space and geometry -- Experience and geometry -- Classical mechanics -- Relative and absolute motion -- Energy and thermodynamics -- Hypotheses in physics -- Theories of modern physics -- Probability calculus -- Optics and electricity -- Electrodynamics -- The end of matter.

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. (shrink)

Poincaré tries to tackle the question "Can science sway us into materialism?". In other words, he analyzes if science - in particular Physics - and its theories are dependent on a materialistic ontological view of the world. His final answer appears to be "no". However, in order to reach this conclusion he resorts to a brief history of Physics, providing an insightful account on the evolution of the concept of atom from Democritus to the, then, recent discoveries on the (...) composition of the atom. In his opinion, science swung and will keep swinging between two opposing approaches over the constitution of nature: the discrete and the continuous approach. (shrink)

During his lifetime, Henri Poincaré published three major philosophical books which achieved great success: "La science et l'hypothèse" (1902), "La valeur de la science" (1905) and "Science et méthode" (1908). After his death in 1913, a fourth volume of his philosophical works was published by his heirs as "Dernières pensées" (1913). The four books constitute the core of Poincaré's philosophic works and were given an ovation by scientific and general public. Around 1919, Gustave Le Bon wrote to (...) Poincaré's widow. As the director of the "Bibliothèque de Philosophie Scientifique at Flammarion", he asked her permission to publish a second posthumous volume. "L'Opportunisme scientifique" was intended to be the fifth and final volume of Poincaré's philosophical writings. Louis Rougier had elaborated the project, with the collaboration of Gustave Le Bon, and the approval of the philosopher Émile Boutroux and his son Pierre. Because of the reservations of the mathematician's heirs, this book was never published and Dernières pensées remained his last philosophical book. Nevertheless Poincaré's correspondence - which is kept in the Poincaré Archives at University Nancy 2 - contains a large amount of documents concerning the project, its justification and the discussions between Louis Rougier and the mathematician's heirs. The aim of this book is to restore this episode, which gives some crucial informations about editorial practices of Poincaré and about the posterity of his philosophic thinking. (shrink)

On aimerait que la logique de la science soit infaillible. Mais la nature et la rigueur du raisonnement scientifique reposent en grande partie sur l'importance de l'hypothèse, et celle de la convention. Qu'en est-il par exemple du nombre, autrement dit de la grandeur mathématique? La trouvons-nous dans la nature, ou est-ce nous qui l'y introduisons? De même pour l'espace : d'où viennent les premiers principes de la géométrie? Nous sont-ils imposés par la logique? L'espace nous est-il révélé par nos sens? (...) La géométrie dérive-t-elle de l'expérience? Parcourant les sciences, de l'arithmétique et la géométrie jusqu'à la mécanique et la physique expérimentale, Poincaré livre ici son premier essai philosophique, écrit au début du XXe siècle et devenu un classique. (shrink)

La logique de l'infini (Texte de juillet 1909)--La morale et la science.--L'évolution des lois.--Les rapports de la matière et de l'éther.--La logique de l'infini; (Texte du 3 mai 1912)--L'espace et le temps.--L'hypothèse des quanta.--L'union pour l'éducation morale.--Pourquoi l'espace a trois dimensions.--Appendice: Les fondements de la géométrie. Cornot et les principes du calcul infinitésimal. Le libre examen en matière scientifique. Le démon d'Arrhénius.

This collection of literature attempts to compile many of the classic, timeless works that have stood the test of time and offer them at a reduced, affordable price, in an attractive volume so that everyone can enjoy them.