Books in Theory and mathematics general

The Vector-Valued Maximin

1st Edition
Volume 193
December 9, 1993
Slukvadze
English
eBook
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Scientific Computing

1st Edition
June 28, 2014
Gene H. Golub + 1 more
English
eBook
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This book introduces the basic concepts of parallel and vector computing in the context of an introduction to numerical methods. It contains chapters on parallel and vector matrix multiplication and solution of linear systems by direct and iterative methods. It is suitable for advanced undergraduate and beginning graduate courses in computer science, applied mathematics, and engineering. Ideally, students will have access to a parallel or Vector computer, but the material can be studied profitably in any case.

Differential Equations with Applications to Mathematical Physics

1st Edition
Volume 192
March 5, 1993
W. F. Ames
English
eBook
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Scientific Computing with Automatic Result Verification

1st Edition
Volume 189
December 3, 1992
Adams
English
eBook
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Analysis and Control of Nonlinear Infinite Dimensional Systems

1st Edition
Volume 190
November 26, 1992
Barbu
English
eBook
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Stability and Time-Optimal Control of Hereditary Systems

1st Edition
Volume 188
May 22, 1992
Chukwu
English
eBook
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Matrix Logic and Mind

1st Edition
February 12, 1992
A. Stern
English
eBook
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In this revolutionary work, the author sets the stage for the science ofthe 21st Century, pursuing an unprecedented synthesis of fields previouslyconsidered unrelated. Beginning with simple classical concepts, he endswith a complex multidisciplinary theory requiring a high level ofabstraction. The work progresses across the sciences in severalmultidiscipli... directions: Mathematical logic, fundamental physics,computer science and the theory of intelligence. Extraordinarily enough,the author breaks new ground in all these fields.In the field offundamental physics the author reaches the revolutionary conclusion thatphysics can be viewed and studied as logic in a fundamental sense, ascompared with Einstein's view of physics as space-time geometry. This opensnew, exciting prospects for the study of fundamental interactions. Aformulation of logic in terms of matrix operators and logic vector spacesallows the author to tackle for the first time the intractable problem ofcognition in a scientific manner. In the same way as the findings ofHeisenberg and Dirac in the 1930s provided a conceptual and mathematicalfoundati... for quantum physics, matrix operator logic supports an importantbreakthroug... in the study of the physics of the mind, which is interpretedas a fractal of quantum mechanics. Introducing a concept of logic quantumnumbers, the author concludes that the problem of logic and theintelligence code in general can be effectively formulated as eigenvalueproblems similar to those of theoretical physics. With this important leapforward in the study of the mechanism of mind, the author concludes thatthe latter cannot be fully understood either within classical or quantumnotions. A higher-order covariant theory is required to accommodate thefundamental effect of high-level intelligence. The landmark resultsobtained by the author will have implications and repercussions for thevery foundations of science as a whole. Moreover, Stern's Matrix Logic issuitable for a broad spectrum of practical applications in contemporarytechnolo...