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Gauge Fields in Physics and Mathematics
Journal of Dynamical Systems and Geometric Theories, 2002Abstract The interaction between geometry, topology and physics is becoming ever more intense and fruitful and much of this interaction flows from the observation, made over two decades ago, that the gauge fields studied by physicists are nothing other than what mathematicians call connections on principal bundles.
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Didactics of Mathematics as a Field of Mathematical Research: The Anthropological Approach
2023We develop the thesis that mathematics is an essentially didactical field of human activity, and that, therefore, Didactics of Mathematics is (or should be) a central part of mathematics itself. The basic ideas of the anthropological theory of the didactic are invested in this argument, as are some personal experiences from 25 years of research in von ...
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Mathematical language of field theory
1993A general theory of the electromagnetic field, or of any other kind of field, requires a development of the field concept from the intuitive and rather pictorial forms used in Chapter 1 into an instrument of great precision. Such a theory will consist of equations of some kind that are sufficient to define all the spatial and temporal variations of a ...
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The bulletin of the National Association of Secondary School Principals, 1959
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Elementary Mathematics for Field Artillery.
The American Mathematical Monthly, 1919Lester R. Ford, Albert A. Bennett
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The psychology of invention in the mathematical field.
Psychological Bulletin, 1945Jacques Hadamard, Susanna P. Hotelling
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The Psychology of Invention in the Mathematical Field
The American Journal of Psychology, 1946Jacques Hadamard, Ernest R. Hilgard
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THE NEEDS OF FRESHMEN IN THE FIELD OF MATHEMATICS [PDF]
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