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New Trends in Quantum Structures: By Anatolij Dvurecenskij, Sylvia Pulmannova...
US $54.60
ApproximatelyC $74.14
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Was US $70.00 (22% off)
Condition:
Good
A book that has been read but is in good condition. Very minimal damage to the cover including scuff marks, but no holes or tears. The dust jacket for hard covers may not be included. Binding has minimal wear. The majority of pages are undamaged with minimal creasing or tearing, minimal pencil underlining of text, no highlighting of text, no writing in margins. No missing pages. See the seller’s listing for full details and description of any imperfections.
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eBay item number:325864959104
Item specifics
- Condition
- ISBN
- 9780792364719
- Subject Area
- Mathematics, Science
- Publication Name
- New Trends in Quantum Structures
- Publisher
- Springer Netherlands
- Item Length
- 9.3 in
- Subject
- Physics / Quantum Theory, Algebra / Abstract, Algebra / General, Logic, Applied, Physics / Mathematical & Computational
- Publication Year
- 2000
- Series
- Mathematics and Its Applications Ser.
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Item Weight
- 74.4 Oz
- Item Width
- 6.1 in
- Number of Pages
- Xvi, 542 Pages
About this product
Product Identifiers
Publisher
Springer Netherlands
ISBN-10
0792364716
ISBN-13
9780792364719
eBay Product ID (ePID)
1753829
Product Key Features
Number of Pages
Xvi, 542 Pages
Language
English
Publication Name
New Trends in Quantum Structures
Publication Year
2000
Subject
Physics / Quantum Theory, Algebra / Abstract, Algebra / General, Logic, Applied, Physics / Mathematical & Computational
Type
Textbook
Subject Area
Mathematics, Science
Series
Mathematics and Its Applications Ser.
Format
Hardcover
Dimensions
Item Weight
74.4 Oz
Item Length
9.3 in
Item Width
6.1 in
Additional Product Features
Intended Audience
Scholarly & Professional
LCCN
00-042414
Dewey Edition
21
Reviews
' ...impressive monograph...presents some of the newest trends in the mathematical theory of structures arising in quantum mechanics. The book is well written, with special attention paid to mathematical accuracy. The book will be useful for mathematicians, but also for physicists and logicians, as well as for the reader interested in fuzzy set theory and quantum computing. Throughout the text important facts and concepts are illustrated by exercises.' Mathematical Reviews, 2002, ' ...impressive monograph...presents some of the newest trends in the mathematical theory of structures arising in quantum mechanics. The book is well written, with special attention paid to mathematical accuracy. The book will be useful for mathematicians, but also for physicists and logicians, as well as for the reader interested in fuzzy set theory and quantum computing. Throughout the text important facts and concepts are illustrated by exercises. ' Mathematical Reviews, 2002
Series Volume Number
516
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
530.12
Table Of Content
1 D-posets and Effect Algebras.- 2 MV-algebras and QMV-algebras.- 3 Quotients of Partial Abelian Monoids.- 4 Tensor Product of D-Posets and Effect Algebras.- 5 BCK-algebras.- 6 BCK-algebras in Applications.- 7 Loomis-Sikorski Theorems for MV-algebras and BCK-algebras.- Index of Symbols.
Synopsis
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., 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.
LC Classification Number
QA150-272
Item description from the seller
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