Mathematical Analysis of Problems in the Natural Sciences is popular PDF and ePub book, written by Vladimir Zorich in 2010-10-11, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Mathematical Analysis of Problems in the Natural Sciences can be Read Online from any device for your convenience.
Mathematical Analysis of Problems in the Natural Sciences Book PDF Summary
Based on a two-semester course aimed at illustrating various interactions of "pure mathematics" with other sciences, such as hydrodynamics, thermodynamics, statistical physics and information theory, this text unifies three general topics of analysis and physics, which are as follows: the dimensional analysis of physical quantities, which contains various applications including Kolmogorov's model for turbulence; functions of very large number of variables and the principle of concentration along with the non-linear law of large numbers, the geometric meaning of the Gauss and Maxwell distributions, and the Kotelnikov-Shannon theorem; and, finally, classical thermodynamics and contact geometry, which covers two main principles of thermodynamics in the language of differential forms, contact distributions, the Frobenius theorem and the Carnot-Caratheodory metric. It includes problems, historical remarks, and Zorich's popular article, "Mathematics as language and method."
Detail Book of Mathematical Analysis of Problems in the Natural Sciences PDF
- Author : Vladimir Zorich
- Release : 11 October 2010
- Publisher : Springer Science & Business Media
- ISBN : 9783642148132
- Genre : Mathematics
- Total Page : 133 pages
- Language : English
- PDF File Size : 17,5 Mb
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