Hilbert’s Sixth Problem: The Axiomatization of Physics

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74,90 €

and the Meaning of Probability

ISBN: 3330072938
ISBN 13: 9783330072930
Autor: Johnson, Joseph
Verlag: LAP LAMBERT Academic Publishing
Umfang: 260 S.
Erscheinungsdatum: 16.05.2017
Auflage: 1/2017
Format: 1.7 x 22 x 15
Gewicht: 405 g
Produktform: Kartoniert
Einband: Kartoniert
Artikelnummer: 2406260 Kategorie:

Beschreibung

At the Second International Congress of Mathematicians, in Paris in 1900, Hilbert proposed 23 mathematical problems for the coming century. The Sixth Problem was to axiomatise Physics the same way mathematicians had already axiomatised Geometry, that is, find a small collection of undefined notions and axioms to be asserted without proof, that could serve as the basis for the development of theoretical physics. The notion of probability was singled out for special attention because of contemporary controversies about the Arrow of Time. Based on lectures at the University of New Hampshire and published papers in Physics (on Quantum Measurement) and Statistics (on Khintchine's conjectures), this book explains the difficulties in giving a coherent definition of physical probability, explains the contribution of Prof. von Plato of Helsinki University to resolving this, and finally resolves this problem for both Classical Mechanics and Quantum Mechanics. Aimed at physicists and mathematicians, even undergraduates, the mathematics is explained for those unfamiliar with Khintchine's work, and the physics is explained for those unfamiliar with Statistical Mechanics or Quantum Theory.

Autorenporträt

The Californian, Dr. Johnson, Ph.D. MIT, where he studied with Professors Goldfeld, Kostant, and Vogan, has taught at MIT, Notre Dame, CUNY, Rutgers, and Queen's Univ. (Canada). He has published papers in mathematics, physics, and operations research. He is a past member of Local 77 A. F. of M. AFL-CIO. He lives in Havana.

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