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New Trends in Quantum Structures (Hardcover, 2000 ed.)
Loot Price: R3,303
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New Trends in Quantum Structures (Hardcover, 2000 ed.)
Series: Mathematics and Its Applications, 516
Expected to ship within 12 - 17 working days
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Total price: R3,323
Discovery Miles: 33 230
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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."
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