Description: 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." 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.
Price: 127 AUD
Location: Hillsdale, NSW
End Time: 2025-01-05T03:35:16.000Z
Shipping Cost: 32.17 AUD
Product Images
Item Specifics
Return shipping will be paid by: Buyer
Returns Accepted: Returns Accepted
Item must be returned within: 60 Days
Return policy details:
EAN: 9783642430046
UPC: 9783642430046
ISBN: 9783642430046
MPN: N/A
Item Length: 23.4 cm
Number of Pages: 133 Pages
Language: English
Publication Name: Mathematical Analysis of Problems in The Natural Sciences
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Publication Year: 2014
Subject: Mathematics, Physics
Item Height: 235 mm
Item Weight: 238 g
Type: Textbook
Author: Vladimir Zorich
Item Width: 155 mm
Format: Paperback
