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

Mathematical Analysis of Problems in the Natural Sciences - hardcover

2010, ISBN: 3642148123

[EAN: 9783642148125], Neubuch, [SC: 0.0], [PU: Springer Berlin Heidelberg], ANALYSIS; CALCULUS; DIFFERENZIALGEOMETRIE; GEOMETRIE / MATHEMATIK; WAHRSCHEINLICHKEIT - WAHRSCHEINLICHKEITSTHEO… More...

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Mathematical Analysis of Problems in the Natural Sciences Vladimir Zorich Author
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ISBN: 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 informati… More...

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Mathematical Analysis of Problems in the Natural Sciences - Zorich, Vladimir
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Zorich, Vladimir:
Mathematical Analysis of Problems in the Natural Sciences - hardcover

2010

ISBN: 9783642148125

Translator: Gould, Gerald G. Springer, Hardcover, Auflage: 2011, 144 Seiten, Publiziert: 2010-10-29T00:00:01Z, Produktgruppe: Book, Hersteller-Nr.: biography, 0.45 kg, Verkaufsrang: 29285… More...

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Mathematical Analysis of Problems in the Natural Sciences - Zorich, Vladimir; Gould, Gerald G. (Übersetzung)
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Zorich, Vladimir; Gould, Gerald G. (Übersetzung):
Mathematical Analysis of Problems in the Natural Sciences - hardcover

2010, ISBN: 3642148123

2011 Gebundene Ausgabe Analysis, Calculus, Differenzialgeometrie, Geometrie / Differenzialgeometrie, Mathematik, Wahrscheinlichkeit - Wahrscheinlichkeitstheorie, Mathematische Analysis,… More...

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

2011, ISBN: 9783642148125

Springer-Verlag, 2011. Hard cover. Good/No jacket. Spine is sunned and lightly shaken. Cover is slightly worn. Edges are worn. Inside is clean and unmarked., Springer-Verlag, 2011, 2.5

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Mathematical Analysis of Problems in the Natural Sciences Vladimir Zorich Author
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ISBN:

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."

Details of the book - Mathematical Analysis of Problems in the Natural Sciences Vladimir Zorich Author


EAN (ISBN-13): 9783642148125
ISBN (ISBN-10): 3642148123
Hardcover
Paperback
Publishing year: 2010
Publisher: Springer Berlin Heidelberg Core >2 >T
135 Pages
Weight: 0,351 kg
Language: eng/Englisch

Book in our database since 2011-03-25T07:55:22-04:00 (New York)
Detail page last modified on 2024-04-05T22:52:12-04:00 (New York)
ISBN/EAN: 9783642148125

ISBN - alternate spelling:
3-642-14812-3, 978-3-642-14812-5
Alternate spelling and related search-keywords:
Book author: zorich, gerald gould, erl vladimir, kolmogorov, caratheodory, frobenius nikolai
Book title: problems mathematical analysis

Information from Publisher

Author: Vladimir Zorich
Title: Mathematical Analysis of Problems in the Natural Sciences
Publisher: Springer; Springer Berlin
133 Pages
Publishing year: 2010-10-29
Berlin; Heidelberg; DE
Language: English
60,49 € (DE)

BB; Hardcover, Softcover / Mathematik/Analysis; Mathematische Analysis, allgemein; Verstehen; contact geometry; dimensional analysis of physical quantities; principle of concentration; thermodynamics; transmission of information; turbulence; information and communication, circuits; Analysis; Theoretical, Mathematical and Computational Physics; Differential Geometry; Applications of Mathematics; Mathematical Applications in Computer Science; Probability Theory; Mathematische Physik; Differentielle und Riemannsche Geometrie; Angewandte Mathematik; Theoretische Informatik; Wahrscheinlichkeitsrechnung und Statistik; Stochastik; EA; BC

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.

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