Titlebook: Mathematics and Physics; Yu. I. Manin Book 1981 Springer Science+Business Media New York 1981 mathematical physics.mathematics.physics

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978-1-4899-6784-8Springer Science+Business Media New York 1981

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incredulity

1544-9998 Overview: 978-1-4899-6784-8978-1-4899-6782-4Series ISSN 1544-9998 Series E-ISSN 2197-1846

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Action and Symmetry,s x at which the ball can rest are the solutions of the equation dV/dx =0 or dV=0; the increment of the potential energy function as we move a little away from such a point is very small compared to the increment of the coordinate. At these points V is stationary.

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Space-Time as a Physical System,asing tendency to consider space-time as a physical system in its own right. The principles for describing space-time still remain classical. The difficulties of quantum field theory apparently point to a contradiction between these principles and universal quantum laws.

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A Drop of Milk: Observer, Observation, Observable and Unobservable,usands of children’s drawings; I myself drew them. Let us try to forget this and look at the world with the eyes of the mind, as our immortal contemporary Galileo Galilei taught the simple-minded Simplicio.

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Space-Time as a Physical System,pening in the arena of space-time. However, since the time of the creation of general relativity theory and quantum mechanics, there has been an increasing tendency to consider space-time as a physical system in its own right. The principles for describing space-time still remain classical. The diff

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the local index formula. We also explain in details how the infinitesimal calculus based on operators gives a natural home for the infinitesimal line element . of geometry and leads one to the basic notion of spectral triple, which is the basic paradigm of noncommutative geometry. In order to illus