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Henri Poincaré
Jeremy Gray
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Naturwissenschaften, Medizin, Informatik, Technik / Geometrie
Beschreibung
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.
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Betti number, Riemannian geometry, Russell's paradox, Classical electromagnetism, Analogy, Joseph Bertrand, Probability, Pure mathematics, Complex analysis, Linear differential equation, Acta Mathematica, Differential equation, Algebraic curve, Analytic continuation, Bernhard Riemann, Gustav Jaumann, Mathematics, J. J. Thomson, Jordan curve theorem, Emission theory, Minkowski space, Non-Euclidean geometry, Big O notation, Richard's paradox, David Hilbert, Hypothesis, Physicist, Elliptic function, Dirichlet problem, Mathematical induction, Cantor's diagonal argument, Modern physics, Mathematician, Nonlinear system, Equation, Mathematical physics, Bessel function, Axiom, Celestial mechanics, Calculation, Hamiltonian mechanics, Logic, Theorem, Felix Klein, Ad hoc hypothesis, Chaos theory, Variable (mathematics), Theory, Addition theorem, Contradiction, Power series, H-theorem, Special case, Euclidean geometry, For All Practical Purposes, Geometry, Periodic function, Conjecture, The Principles of Mathematics, Special relativity, Riemann surface, Linear map, Maxwell's equations, Pierre Duhem, Idealization, Nominalism, Perturbation theory (quantum mechanics), Number theory, Conventionalism, Renormalization