Tag: Hilbert

April 25, 2024

Hilbert C- Modules and Quantum Markov Semigroups

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Free Download Hilbert C*- Modules and Quantum Markov Semigroups by Lunchuan Zhang
English | PDF EPUB (True) | 2024 | 222 Pages | ISBN : 9819986672 | 21.4 MB
This book explains the basic theory of Hilbert C*-module in detail, covering a wide range of applications from generalized index to module framework. At the center of the book, the Beurling-Deny criterion is characterized between operator valued Dirichlet forms and quantum Markov semigroups, hence opening a new field of quantum probability research. The general scope of the book includes: basic theory of Hilbert C*-modules; generalized indices and module frames; operator valued Dirichlet forms; and quantum Markov semigroups.

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February 1, 2024

The Hilbert Challenge

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Free Download Jeremy J. Gray, "The Hilbert Challenge"
English | ISBN: 0198506511 | 2001 | 328 pages | PDF | 152 MB
Few problems in mathematics have had the status of those posed by David Hilbert in 1900. Mathematicians have made their reputations by solving some of them like Fermat’s last theorem, but several remain unsolved including the Riemann Hypotheses, which has eluded all the great minds of this century. A hundred years later, this book takes a fresh look at the problems, the man who set them, and the reasons for their lasting impact on the mathematics of the twentieth century. In this fascinating book, the authors consider what makes this the pre-eminent collection of problems in mathematics, what they tell us about what drives mathematicians, and the nature of reputation, influence and power in the world of modern mathematics. It is written in a clear and entertaining style and will appeal to anyone with interest in mathematics or those mathematicians willing to try their hand at these problems.

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January 5, 2024

David Hilbert and the Axiomatization of Physics (1898-1918) From Grundlagen der Geometrie to Grundlagen der Physik (2024)

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Free Download L. Corry, "David Hilbert and the Axiomatization of Physics (1898-1918): From Grundlagen der Geometrie to Grundlagen der Physik"
English | 2004 | ISBN: 9048167191, 140202777X | PDF | pages: 530 | 3.4 mb
David Hilbert (1862-1943) was the most influential mathematician of the early twentieth century and, together with Henri Poincaré, the last mathematical universalist. His main known areas of research and influence were in pure mathematics (algebra, number theory, geometry, integral equations and analysis, logic and foundations), but he was also known to have some interest in physical topics. The latter, however, was traditionally conceived as comprising only sporadic incursions into a scientific domain which was essentially foreign to his mainstream of activity and in which he only made scattered, if important, contributions.

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