uvres de Henri Poincaré, Vol. 8: Publiées Sous les Auspices de l'Académie des Sciences par la Section de Géométrie (Classic Reprint) (French Edition)

Science & Math

Henri, Poincaré

Mathematics

Forgotten Books

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

History

Franklin Classics Trade Press

The Value Of Science

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The Value of Science

<p><div> <div>Here is Poincaré's famous discussion of creative psychology as it is revealed in the physical sciences. Explaining how such basic concepts as number and magnitude, space and force were developed, the great French mathematician refutes the skeptical position that modern scientific method and its results are wholly factitious. The places of rigorous logic and intuitive leaps are both established by an analysis of contrasting methods of idea-creation in individuals and in modern scientific traditions. The nature of hypothesis and the role of probability are investigated with all of Poincaré's usual fertility of insight.<br /> Partial contents: On the nature of mathematical reasoning. Magnitude and experiment. Space: non-Euclidean geometrics, space and geometry, experiment and geometry. Force: classical mechanics, relative and absolute motion, energy and thermodynamics. Nature: hypotheses in physics, the theories of modern physics, the calculus of probabilities, optics and electricity, electro-dynamics.<br /> "Poincaré's was the last man to take practically all mathematics, both pure and applied as his province. Few mathematicians have had the breadth of philosophic vision that Poincaré's had, and none is his superior in the gift of clear exposition." -- <i>Men of Mathematics</i>, Eric Temple Bell, Professor of Mathematics, University of Cambridge</div> </div></p>

Science and Hypothesis

Dover `

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The Foundations of Science

History & Philosophy

University Press of America

<p>John Stillwell was the recipient of the Chauvenet Prize for Mathematical Exposition in 2005. The papers in this book chronicle Henri Poincaré's journey in algebraic topology between 1892 and 1904, from his discovery of the fundamental group to his formulation of the Poincaré conjecture. For the first time in English translation, one can follow every step (and occasional stumble) along the way, with the help of translator John Stillwell's introduction and editorial comments. Now that the Poincaré conjecture has finally been proved, by Grigory Perelman, it seems timely to collect the papers that form the background to this famous conjecture. Poincaré's papers are in fact the first draft of algebraic topology, introducing its main subject matter (manifolds) and basic concepts (homotopy and homology). All mathematicians interested in topology and its history will enjoy this book. This volume is one of an informal sequence of works within the History of Mathematics series. Volum</p>

Papers on Topology: Analysis Situs and Its Five Supplements (History of Mathematics, 37)

American Mathematical Society

Jules Henri Poincaré was a French mathematician, theoretical physicist, engineer, and philosopher of science. He is often described as a polymath, and in mathematics as "The Last Universalist," since he excelled in all fields of the discipline as it existed during his lifetime.

Value of Science

Independently published

Calcul des Probabilités

BiblioLife

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Books by Henri, Poincaré