Download e-book for kindle: Mathematical Analysis of Problems in the Natural Sciences by Vladimir Zorich,Gerald G. Gould

By Vladimir Zorich,Gerald G. Gould

ISBN-10: 3642148123

ISBN-13: 9783642148125

ISBN-10: 364243004X

ISBN-13: 9783642430046

in keeping with a two-semester path aimed toward illustrating numerous interactions of 'pure arithmetic' with different sciences, comparable to hydrodynamics, thermodynamics, statistical physics and data idea, this article unifies 3 basic issues of research and physics, that are as follows: the dimensional research of actual amounts, which incorporates a variety of purposes together with Kolmogorov's version for turbulence; capabilities of very huge variety of variables and the primary of focus in addition to the non-linear legislation of huge numbers, the geometric which means of the Gauss and Maxwell distributions, and the Kotelnikov-Shannon theorem; and, eventually, classical thermodynamics and make contact with geometry, which covers major rules of thermodynamics within the language of differential types, touch distributions, the Frobenius theorem and the Carnot-Caratheodory metric. It comprises difficulties, old comments, and Zorich's renowned article, 'Mathematics as language and method.'

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Mathematical Analysis of Problems in the Natural Sciences by Vladimir Zorich,Gerald G. Gould


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