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An Introduction to Hilbert Space and Quantum Logic (Problem Books in Mathematics) - Hardcover

 
9780387968704: An Introduction to Hilbert Space and Quantum Logic (Problem Books in Mathematics)

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Historically, nonclassical physics developed in three stages. First came a collection of ad hoc assumptions and then a cookbook of equations known as "quantum mechanics". The equations and their philosophical underpinnings were then collected into a model based on the mathematics of Hilbert space. From the Hilbert space model came the abstaction of "quantum logics". This book explores all three stages, but not in historical order. Instead, in an effort to illustrate how physics and abstract mathematics influence each other we hop back and forth between a purely mathematical development of Hilbert space, and a physically motivated definition of a logic, partially linking the two throughout, and then bringing them together at the deepest level in the last two chapters. This book should be accessible to undergraduate and beginning graduate students in both mathematics and physics. The only strict prerequisites are calculus and linear algebra, but the level of mathematical sophistication assumes at least one or two intermediate courses, for example in mathematical analysis or advanced calculus. No background in physics is assumed.

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Historically, nonclassical physics developed in three stages. First came a collection of ad hoc assumptions and then a cookbook of equations known as "quantum mechanics". The equations and their philosophical underpinnings were then collected into a model based on the mathematics of Hilbert space. From the Hilbert space model came the abstaction of "quantum logics". This book explores all three stages, but not in historical order. Instead, in an effort to illustrate how physics and abstract mathematics influence each other we hop back and forth between a purely mathematical development of Hilbert space, and a physically motivated definition of a logic, partially linking the two throughout, and then bringing them together at the deepest level in the last two chapters. This book should be accessible to undergraduate and beginning graduate students in both mathematics and physics. The only strict prerequisites are calculus and linear algebra, but the level of mathematical sophistication assumes at least one or two intermediate courses, for example in mathematical analysis or advanced calculus. No background in physics is assumed.

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Cohen, D. W.
Verlag: Springer, 1989
ISBN 10: 0387968709 ISBN 13: 9780387968704
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Beispielbild für diese ISBN

Cohen, D. W.
Verlag: Springer, 1989
ISBN 10: 0387968709 ISBN 13: 9780387968704
Gebraucht Hardcover

Anbieter: Better World Books, Mishawaka, IN, USA

Verkäuferbewertung 5 von 5 Sternen 5 Sterne, Erfahren Sie mehr über Verkäufer-Bewertungen

Zustand: Good. Former library book; may include library markings. Used book that is in clean, average condition without any missing pages. Artikel-Nr. GRP77854853

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EUR 51,58
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Von USA nach Deutschland
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