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New Trends in Quantum Structures
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2000, ISBN: 9780792364719

ID: 9780792364719

New Trends in Quantum Structures: Hardback: Kluwer Academic Publishers: 9780792364719: 01 Nov 2000: Deals with the results concerning different types of quantum structures. This interdisciplinary realm joining mathematics, logic and fuzzy reasoning with mathematical foundations of quantum mechanics, covers many applications. It is useful to mathematicians, physicists, logicians, philosophers, quantum computer experts, and students. D. Hilbert, in his famous program, formulated many open mathematical problems which were stimulating for the development of mathematics and a fruitful source of very deep and fundamental ideas. During the whole 20th century, mathematicians and specialists in other fields have been solving problems which can be traced back to Hilbert's program, and today there are many basic results stimulated by this program. It is sure that even at the beginning of the third millennium, mathematicians will still have much to do. One of his most interesting ideas, lying between mathematics and physics, is his sixth problem: To find a few physical axioms which, similar to the axioms of geometry, can describe a theory for a class of physical events that is as large as possible. We try to present some ideas inspired by Hilbert's sixth problem and give some partial results which may contribute to its solution. In the Thirties the situation in both physics and mathematics was very interesting. A.N. Kolmogorov published his fundamental work Grundbegriffe der Wahrschein- lichkeitsrechnung in which he, for the first time, axiomatized modern probability theory. From the mathematical point of view, in Kolmogorov's model, the set L of ex- perimentally verifiable events forms a Boolean a-algebra and, by the Loomis-Sikorski theorem, roughly speaking can be represented by a a-algebra S of subsets of some non-void set n. Algebra, , , , , , , , , , , ,, [PU: Kluwer Academic Publishers]

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New Trends in Quantum Structures - Anatolij Dvurecenskij#Sylvia Pulmannová
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2000, ISBN: 9780792364719

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D. Hilbert, in his famous program, formulated many open mathematical problems which were stimulating for the development of mathematics and a fruitful source of very deep and fundamental ideas. During the whole 20th century, mathematicians and specialists in other fields have been solving problems which can be traced back to Hilbert´s program, and today there are many basic results stimulated by this program. It is sure that even at the beginning of the third millennium, mathematicians will still have much to do. One of his most interesting ideas, lying between mathematics and physics, is his sixth problem: To find a few physical axioms which, similar to the axioms of geometry, can describe a theory for a class of physical events that is as large as possible. We try to present some ideas inspired by Hilbert´s sixth problem and give some partial results which may contribute to its solution. In the Thirties the situation in both physics and mathematics was very interesting. A.N. Kolmogorov published his fundamental work Grundbegriffe der Wahrschein­ lichkeitsrechnung in which he, for the first time, axiomatized modern probability theory. From the mathematical point of view, in Kolmogorov´s model, the set L of ex­ perimentally verifiable events forms a Boolean a-algebra and, by the Loomis-Sikorski theorem, roughly speaking can be represented by a a-algebra S of subsets of some non-void set n. New Trends in Quantum Structures Bücher > Fremdsprachige Bücher > Englische Bücher gebundene Ausgabe 30.11.2000 Buch (fremdspr.), Springer, .200

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New Trends in Quantum Structures - Anatolij Dvurecenskij#Sylvia Pulmannová
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New Trends in Quantum Structures D. Hilbert, in his famous program, formulated many open mathematical problems which were stimulating for the development of mathematics and a fruitful source of very deep and fundamental ideas. During the whole 20th century, mathematicians and specialists in other fields have been solving problems which can be traced back to Hilbert's program, and today there are many basic results stimulated by this program. It is sure that even at the beginning of the third millennium, mathematicians will still have much to do. One of his most interesting ideas, lying between mathematics and physics, is his sixth problem: To find a few physical axioms which, similar to the axioms of geometry, can describe a theory for a class of physical events that is as large as possible. We try to present some ideas inspired by Hilbert's sixth problem and give some partial results which may contribute to its solution. In the Thirties the situation in both physics and mathematics was very interesting. A.N. Kolmogorov published his fundamental work Grundbegriffe der Wahrschein­ lichkeitsrechnung in which he, for the first time, axiomatized modern probability theory. From the mathematical point of view, in Kolmogorov's model, the set L of ex­ perimentally verifiable events forms a Boolean a-algebra and, by the Loomis-Sikorski theorem, roughly speaking can be represented by a a-algebra S of subsets of some non-void set n. Bücher / Fremdsprachige Bücher / Englische Bücher 978-0-7923-6471-9, Springer

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New Trends in Quantum Structures - Sylvia Pulmannová#Anatolij Dvurecenskij
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New Trends in Quantum Structures D. Hilbert, in his famous program, formulated many open mathematical problems which were stimulating for the development of mathematics and a fruitful source of very deep and fundamental ideas. During the whole 20th century, mathematicians and specialists in other fields have been solving problems which can be traced back to Hilbert's program, and today there are many basic results stimulated by this program. It is sure that even at the beginning of the third millennium, mathematicians will still have much to do. One of his most interesting ideas, lying between mathematics and physics, is his sixth problem: To find a few physical axioms which, similar to the axioms of geometry, can describe a theory for a class of physical events that is as large as possible. We try to present some ideas inspired by Hilbert's sixth problem and give some partial results which may contribute to its solution. In the Thirties the situation in both physics and mathematics was very interesting. A.N. Kolmogorov published his fundamental work Grundbegriffe der Wahrschein­ lichkeitsrechnung in which he, for the first time, axiomatized modern probability theory. From the mathematical point of view, in Kolmogorov's model, the set L of ex­ perimentally verifiable events forms a Boolean a-algebra and, by the Loomis-Sikorski theorem, roughly speaking can be represented by a a-algebra S of subsets of some non-void set n. Bücher / Fremdsprachige Bücher / Englische Bücher 978-0-7923-6471-9, Springer

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New Trends in Quantum Structures - Sylvia Pulmannová#Anatolij Dvurecenskij
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New Trends in Quantum Structures - neues Buch

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D. Hilbert, in his famous program, formulated many open mathematical problems which were stimulating for the development of mathematics and a fruitful source of very deep and fundamental ideas. During the whole 20th century, mathematicians and specialists in other fields have been solving problems which can be traced back to Hilbert´s program, and today there are many basic results stimulated by this program. It is sure that even at the beginning of the third millennium, mathematicians will still have much to do. One of his most interesting ideas, lying between mathematics and physics, is his sixth problem: To find a few physical axioms which, similar to the axioms of geometry, can describe a theory for a class of physical events that is as large as possible. We try to present some ideas inspired by Hilbert´s sixth problem and give some partial results which may contribute to its solution. In the Thirties the situation in both physics and mathematics was very interesting. A.N. Kolmogorov published his fundamental work Grundbegriffe der Wahrschein­ lichkeitsrechnung in which he, for the first time, axiomatized modern probability theory. From the mathematical point of view, in Kolmogorov´s model, the set L of ex­ perimentally verifiable events forms a Boolean a-algebra and, by the Loomis-Sikorski theorem, roughly speaking can be represented by a a-algebra S of subsets of some non-void set n. New Trends in Quantum Structures Buch (fremdspr.) Bücher>Fremdsprachige Bücher>Englische Bücher, Springer

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New Trends in Quantum Structures
Autor:

Pulmannová, Sylvia; Dvurecenskij, Anatolij

Titel:

New Trends in Quantum Structures

ISBN-Nummer:

This monograph deals with the latest results concerning different types of quantum structures. This is an interdisciplinary realm joining mathematics, logic and fuzzy reasoning with mathematical foundations of quantum mechanics, and the book covers many applications. The book consists of seven chapters. The first four chapters are devoted to difference posets and effect algebras; MV-algebras and quantum MV-algebras, and their quotients; and to tensor product of difference posets. Chapters 5 and 6 discuss BCK-algebras with their applications. Chapter 7 addresses Loomis-Sikorski-type theorems for MV-algebras and BCK-algebras. Throughout the book, important facts and concepts are illustrated by exercises. Audience: This book will be of interest to mathematicians, physicists, logicians, philosophers, quantum computer experts, and students interested in mathematical foundations of quantum mechanics as well as in non-commutative measure theory, orthomodular lattices, MV-algebras, effect algebras, Hilbert space quantum mechanics, and fuzzy set theory.

Detailangaben zum Buch - New Trends in Quantum Structures


EAN (ISBN-13): 9780792364719
ISBN (ISBN-10): 0792364716
Gebundene Ausgabe
Erscheinungsjahr: 2000
Herausgeber: Springer-Verlag GmbH
564 Seiten
Gewicht: 0,999 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 05.06.2007 14:36:05
Buch zuletzt gefunden am 04.05.2017 11:33:45
ISBN/EAN: 0792364716

ISBN - alternative Schreibweisen:
0-7923-6471-6, 978-0-7923-6471-9


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