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ISBN: 9783642148125

ID: 1926114163

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. 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

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, Mathematical Analysis of Problems in the Natural Sciences Books, Springer-Verlag/Sci-Tech/Trade

ISBN: 9783642148125

ID: 9783642148125

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." Books > Mathematics Hard cover, Springer Shop

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, Springer Shop

2011, ISBN: 3642148123

ID: 12011353

Mathematical Analysis of Problems in the Natural Sciences ab 42.99 EURO Auflage 2011 Medien > Bücher, [PU: Springer, Berlin/Heidelberg/New York, NY]