Mathematical Analysis of Problems in the Natural Sciences

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9783642430046: Mathematical Analysis of Problems in the Natural Sciences

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."

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

From the 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 Kolmogorov's 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 Zorich's 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.

About the Author :

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.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

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Vladimir Zorich
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Description du livre Springer, 2014. État : New. This item is printed on demand for shipment within 3 working days. N° de réf. du libraire LP9783642430046

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Zorich, Vladimir
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VLADIMIR ZORICH
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Vladimir A. Zorich
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Description du livre Springer-Verlag Berlin and Heidelberg GmbH and Co. KG, 2014. PAP. État : New. New Book. Shipped from US within 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. N° de réf. du libraire IQ-9783642430046

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Vladimir Zorich
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Description du livre Springer. Paperback. État : New. Paperback. 148 pages. Dimensions: 9.2in. x 6.1in. x 0.3in.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. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Paperback. N° de réf. du libraire 9783642430046

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Vladimir Zorich
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Vladimir A. Zorich
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Description du livre Springer-Verlag Berlin and Heidelberg GmbH Co. KG, Germany, 2014. Paperback. État : New. 2011 ed.. Language: English . Brand New Book ***** Print on Demand *****.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. N° de réf. du libraire AAV9783642430046

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Description du livre Springer, 2014. Paperback. État : Brand New. 9.25x6.10 inches. In Stock. N° de réf. du libraire __364243004X

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Vladimir Zorich
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