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Mathematical Analysis of Problems in the Natural Sciences
V. A. Zorich
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Description for Mathematical Analysis of Problems in the Natural Sciences
Hardcover.
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 ... Read more
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 ... Read more
Product Details
Format
Hardback
Publication date
2010
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Germany
Number of pages
148
Condition
New
Number of Pages
133
Place of Publication
Berlin, Germany
ISBN
9783642148125
SKU
V9783642148125
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
About V. A. Zorich
Vladimir A. Zorich is a distinguished Professor of Mathematics at the University of Moscow who solved the problem of global homeomorphism for space quasi-conformal mappings and provided its far-reaching generalizations.
Reviews for Mathematical Analysis of Problems in the Natural Sciences
From the reviews: “Vladimir Zorich has written a short and mathematically advanced text on the natural sciences as seen through mathematics. … The text touches on many ideas: the dimension of a television signal, the molecular theory of matter, transmission line capacity, to name a few. … if you want to see how mathematics is intertwined in nature and ... Read more