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The Logico-Algebraic Approach to Quantum Mechanics: Volume I: Historical Evolution: 5a (The Western Ontario Series in Philosophy of Science) - Hardcover

 
9789027705679: The Logico-Algebraic Approach to Quantum Mechanics: Volume I: Historical Evolution: 5a (The Western Ontario Series in Philosophy of Science)

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The twentieth century has witnessed a striking transformation in the un­ derstanding of the theories of mathematical physics. There has emerged clearly the idea that physical theories are significantly characterized by their abstract mathematical structure. This is in opposition to the tradi­ tional opinion that one should look to the specific applications of a theory in order to understand it. One might with reason now espouse the view that to understand the deeper character of a theory one must know its abstract structure and understand the significance of that struc­ ture, while to understand how a theory might be modified in light of its experimental inadequacies one must be intimately acquainted with how it is applied. Quantum theory itself has gone through a development this century which illustrates strikingly the shifting perspective. From a collection of intuitive physical maneuvers under Bohr, through a formative stage in which the mathematical framework was bifurcated (between Schrödinger and Heisenberg) to an elegant culmination in von Neumann's Hilbert space formulation the elementary theory moved, flanked even at the later stage by the ill-understood formalisms for the relativistic version and for the field-theoretic altemative; after that we have a gradual, but constant, elaboration of all these quantal theories as abstract mathematical struc­ tures (their point of departure being von Neumann's formalism) until at the present time theoretical work is heavily preoccupied with the manip­ ulation of purely abstract structures.

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The twentieth century has witnessed a striking transformation in the un­ derstanding of the theories of mathematical physics. There has emerged clearly the idea that physical theories are significantly characterized by their abstract mathematical structure. This is in opposition to the tradi­ tional opinion that one should look to the specific applications of a theory in order to understand it. One might with reason now espouse the view that to understand the deeper character of a theory one must know its abstract structure and understand the significance of that struc­ ture, while to understand how a theory might be modified in light of its experimental inadequacies one must be intimately acquainted with how it is applied. Quantum theory itself has gone through a development this century which illustrates strikingly the shifting perspective. From a collection of intuitive physical maneuvers under Bohr, through a formative stage in which the mathematical framework was bifurcated (between Schrödinger and Heisenberg) to an elegant culmination in von Neumann's Hilbert space formulation the elementary theory moved, flanked even at the later stage by the ill-understood formalisms for the relativistic version and for the field-theoretic altemative; after that we have a gradual, but constant, elaboration of all these quantal theories as abstract mathematical struc­ tures (their point of departure being von Neumann's formalism) until at the present time theoretical work is heavily preoccupied with the manip­ ulation of purely abstract structures.

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9789027706133: The Logico-Algebraic Approach to Quantum Mechanics: Volume I: Historical Evolution: 5a (The Western Ontario Series in Philosophy of Science)

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ISBN 10:  9027706131 ISBN 13:  9789027706133
Verlag: Springer, 2013
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C.A. Hooker
Verlag: Springer, 1975
ISBN 10: 9027705674 ISBN 13: 9789027705679
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Hardcover. Zustand: Very Good. No Jacket. Former owner's name on front pastedown end paper. Bestandsnummer des Verkäufers HS915

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Hooker, C. A. editor
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hardcover. Zustand: near fine. Zustand des Schutzumschlags: fair. 6 1/4 x 9 " 607 pages. Part of The University of Western Ontario Series in Philosophy of Science. bottom of dj spine lacks 2 x 1 1/2" other small nicks and tears to dj (dj now in mylar protector). contributors G. Virkhoff and J. Von Neumann, H. Reichenbach, P. Feyerabend, V. S. Varadarajan and others. Bestandsnummer des Verkäufers 121777

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Hooker, C (Ed)
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Zustand: Fair. Volume 1. This is an ex-library book and may have the usual library/used-book markings inside. Rebound by library.This book has hardback covers. In fair condition, suitable as a study copy. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,1200grams, ISBN:9027705674. Bestandsnummer des Verkäufers 4070510

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