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2010, ISBN: 3642148123

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

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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 informa… Mehr…

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

2010

ISBN: 3642148123

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

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Mathematical Analysis of Problems in the Natural Sciences - Erstausgabe

2010, ISBN: 3642148123

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[EAN: 9783642148125], Neubuch, [PU: Springer Verlag], 1st edition. edition. 135 pages. 9.30x6.30x0.50 inches. This item is printed on demand., Books

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Mathematical Analysis of Problems in the Natural Sciences - gebunden oder broschiert

2010, ISBN: 3642148123

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Details zum Buch
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."

Detailangaben zum Buch - Mathematical Analysis of Problems in the Natural Sciences


EAN (ISBN-13): 9783642148125
ISBN (ISBN-10): 3642148123
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 2010
Herausgeber: Springer
135 Seiten
Gewicht: 0,351 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 2011-03-25T12:55:22+01:00 (Vienna)
Detailseite zuletzt geändert am 2022-02-14T14:36:39+01:00 (Vienna)
ISBN/EAN: 9783642148125

ISBN - alternative Schreibweisen:
3-642-14812-3, 978-3-642-14812-5


Daten vom Verlag:

Autor/in: Vladimir Zorich
Titel: Mathematical Analysis of Problems in the Natural Sciences
Verlag: Springer; Springer Berlin
133 Seiten
Erscheinungsjahr: 2010-10-29
Berlin; Heidelberg; DE
Gedruckt / Hergestellt in Deutschland.
Gewicht: 0,454 kg
Sprache: Englisch
60,49 € (DE)

BB; Book; 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; B; Analysis; Theoretical, Mathematical and Computational Physics; Differential Geometry; Applications of Mathematics; Information and Communication, Circuits; Probability Theory and Stochastic Processes; Analysis; Theoretical, Mathematical and Computational Physics; Differential Geometry; Applications of Mathematics; Mathematical Applications in Computer Science; Probability Theory; Mathematics and Statistics; Mathematische Physik; Differentielle und Riemannsche Geometrie; Angewandte Mathematik; Theoretische Informatik; Wahrscheinlichkeitsrechnung und Statistik; Stochastik; BC; EA

Part I Analysis of Dimensions of Physical Quantities: 1 Elements of the theory.- 2 Examples of applications.- 3 Further applications: hydrodynamics and turbulence.- Part II: Multidimensional Geometry and Functions of a Very Large Number of Variables: 1 Some examples of functions of very many variables in natural science and technology.- 2 Concentration principle and its applications.- 3 Communication in the presence of noise.- Part III Classical Thermodynamics and Contact Geometry: 1 Classical thermodynamics (basic ideas).- 2 Thermodynamics and contact geometry.- 3 Thermodynamics classical and statistical.- References.- Appendix. Mathematics as Language and Method

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