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ISBN: 9783642148125
ID: 836558384
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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2010, ISBN: 3642148123
[SR: 908077], Hardcover, [EAN: 9783642148125], Springer, Springer, Book, [PU: Springer], 2010-10-29, Springer, Mathematical Analysis of Problems in 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." Full description, 923008, Higher Education, 922364, Education, 278115, Engineering & Technology, 57, Science & Nature, 1025612, Subjects, 266239, Books, 922390, Engineering Physics, 278115, Engineering & Technology, 57, Science & Nature, 1025612, Subjects, 266239, Books, 278329, Applied Mathematics, 922530, Mathematical Modelling, 278335, Mathematics for Scientists & Engineers, 278419, Physics, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 278337, Calculus & Mathematical Analysis, 278339, Complex Analysis, 278340, Differential Equations, 278342, Functional Analysis, 278346, Real Analysis, 278347, Vector & Tensor Analysis, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 923006, Higher Education, 922526, Education, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 278353, Geometry & Topology, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 278385, Probability & Statistics, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 278419, Mathematical, 278409, Physics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 922942, Maths, 922868, Popular Science, 57, Science & Nature, 1025612, Subjects, 266239, Books, 570912, Calculus & Mathematical Analysis, 564352, Mathematics, 564334, Scientific, Technical & Medical, 1025612, Subjects, 266239, Books
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2010, ISBN: 3642148123
[SR: 908077], Hardcover, [EAN: 9783642148125], Springer, Springer, Book, [PU: Springer], 2010-10-29, Springer, Mathematical Analysis of Problems in 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." Full description, 923008, Higher Education, 922364, Education, 278115, Engineering & Technology, 57, Science & Nature, 1025612, Subjects, 266239, Books, 922390, Engineering Physics, 278115, Engineering & Technology, 57, Science & Nature, 1025612, Subjects, 266239, Books, 278329, Applied Mathematics, 922530, Mathematical Modelling, 278335, Mathematics for Scientists & Engineers, 278419, Physics, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 278337, Calculus & Mathematical Analysis, 278339, Complex Analysis, 278340, Differential Equations, 278342, Functional Analysis, 278346, Real Analysis, 278347, Vector & Tensor Analysis, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 923006, Higher Education, 922526, Education, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 278353, Geometry & Topology, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 278385, Probability & Statistics, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 278419, Mathematical, 278409, Physics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 922942, Maths, 922868, Popular Science, 57, Science & Nature, 1025612, Subjects, 266239, Books, 570912, Calculus & Mathematical Analysis, 564352, Mathematics, 564334, Scientific, Technical & Medical, 1025612, Subjects, 266239, Books
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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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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 Nature
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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 Metho Versandkosten:plus verzendkosten., zzgl. Versandkosten
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Detailangaben zum Buch - Mathematical Analysis of Problems in Natural Sciences
EAN (ISBN-13): 9783642148125
ISBN (ISBN-10): 3642148123
Gebundene Ausgabe
Erscheinungsjahr: 2010
Herausgeber: Springer-Verlag GmbH
135 Seiten
Gewicht: 0,351 kg
Sprache: eng/Englisch
Buch in der Datenbank seit 25.03.2011 12:55:22
Buch zuletzt gefunden am 17.04.2018 18:40:32
ISBN/EAN: 9783642148125
ISBN - alternative Schreibweisen:
3-642-14812-3, 978-3-642-14812-5
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