Mathematical Analysis of Problems in the Natural Sciences by Vladimir Zorich (En

Description: Mathematical Analysis of Problems in the Natural Sciences by Vladimir Zorich, Gerald G. Gould This book illustrates interactions of pure mathematics with other sciences, such as hydrodynamics, thermodynamics, statistical physics and information theory. It includes problems, historical remarks and Zorichs article "Mathematics as Language and Method." FORMAT Paperback LANGUAGE English CONDITION Brand New Publisher 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 Kolmogorovs 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 Zorichs popular article, "Mathematics as language and method." Back Cover 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. In Mathematical Analysis of Problems in Natural Sciences, he uses a lively and accessible style to unify three topics of analysis and physics, which are as follows: the dimensional analysis of physical quantities, which contains various applications including Kolmogorovs model for turbulence; functions of very large numbers 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.This text corresponds to a two-semester course aimed at illustrating various interactions of "pure mathematics" with other sciences such as hydrodynamics, thermodynamics, statistical physics and information theory. It includes a nice set of problems and contains many historical remarks. It also contains an appendix featuring Zorichs popular article, "Mathematics as language and method." It is ideal for students and professors of mathematics and physics but is also relevant to chemists and biologists as well as engineers and researchers in various areas of the natural sciences. Author Biography 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. Table of Contents Part I Analysis of Dimensions of Physical Quantities.- Part II: Multidimensional Geometry and Functions of a very large Number of Variables.- Part III Classical Thermodynamics and Contact Geometry.- References.- Appendix Review 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 physics, how mathematics describes and explains our world, then this book paints that picture." (David S. Mazel, The Mathematical Association of America, August, 2011) Review Quote 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 physics, how mathematics describes and explains our world, then this book paints that picture." (David S. Mazel, The Mathematical Association of America, August, 2011) Feature Short course of natural sciences Enables further developments in various directions Brilliantly manifested profound applications of fundamental mathematics Details ISBN364243004X ISBN-10 364243004X ISBN-13 9783642430046 Format Paperback Translator Gerald G. Gould Imprint Springer-Verlag Berlin and Heidelberg GmbH & Co. K Place of Publication Berlin Country of Publication Germany DEWEY 501.51 Year 2014 Publication Date 2014-09-29 Short Title MATHEMATICAL ANALYSIS OF PROBL Edition Description 2011 Language English Media Book Edition 2011th Illustrations XI, 133 p. Pages 133 Author Gerald G. Gould Publisher Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Alternative 9783642148125 Audience Professional & Vocational We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:96293045;

Price: 121.12 AUD

Location: Melbourne

End Time: 2025-01-05T04:37:55.000Z

Shipping Cost: 9.62 AUD