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Vladimir Zorich:
Mathematical Analysis of Problems in the Natural Sciences - neues Buch

2010, ISBN: 9783642148125

ID: 739094779

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. 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 Zorich’s article “Mathematics as Language and Method.” Bücher > Fremdsprachige Bücher > Englische Bücher gebundene Ausgabe 29.10.2010 Buch (fremdspr.), Springer, .201

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Vladimir Zorich:
Mathematical Analysis of Problems in the Natural Sciences - neues Buch

ISBN: 9783642148125

ID: 748716686

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. 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 Zorich’s article “Mathematics as Language and Method.” Buch (fremdspr.) Bücher>Fremdsprachige Bücher>Englische Bücher, Springer

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Vladimir Zorich:
Mathematical Analysis of Problems in the Natural Sciences - neues Buch

ISBN: 9783642148125

ID: 978364214812

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 Zorich, Books, Science and Nature, Mathematical Analysis of Problems in the Natural Sciences Books>Science and Nature, Springer Berlin Heidelberg

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Zorich, Vladimir A.:
Mathematical Analysis of Problems in the Natural Sciences - gebunden oder broschiert

2010, ISBN: 9783642148125

[ED: Hardcover], [PU: Springer, Berlin], 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." 2010. xi, 133 S. XI, 135p. 235 mm Versandfertig in 3-5 Tagen, DE, Neuware, gewerbliches Angebot, offene Rechnung (Vorkasse vorbehalten)

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Vladimir Zorich; Gerald G. Gould:
Mathematical Analysis of Problems in the Natural Sciences - neues Buch

ISBN: 9783642148125

ID: 9783642148125

Mathematics; Analysis; Theoretical, Mathematical and Computational Physics; Differential Geometry; Applications of Mathematics; Information and Communication, Circuits; Probability Theory and Stochastic Processes contact geometry, dimensional analysis of physical quantities, principle of concentration, thermodynamics, transmission of information, turbulence Books Book, Springer Science+Business Media