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Mathematical Modeling
Taschenbuch von Christof Eck (u. a.)
Sprache: Englisch

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Beschreibung
Mathematical models are the decisive tool to explain and predict phenomena in the natural and engineering sciences. With this book readers will learn to derive mathematical models which help to understand real world phenomena. At the same time a wealth of important examples for the abstract concepts treated in the curriculum of mathematics degrees are given. An essential feature of this book is that mathematical structures are used as an ordering principle and not the fields of application.

Methods from linear algebra, analysis and the theory of ordinary and partial differential equations are thoroughly introduced and applied in the modeling process. Examples of applications in the fields electrical networks, chemical reaction dynamics, population dynamics, fluid dynamics, elasticity theory and crystal growth are treated comprehensively.
Mathematical models are the decisive tool to explain and predict phenomena in the natural and engineering sciences. With this book readers will learn to derive mathematical models which help to understand real world phenomena. At the same time a wealth of important examples for the abstract concepts treated in the curriculum of mathematics degrees are given. An essential feature of this book is that mathematical structures are used as an ordering principle and not the fields of application.

Methods from linear algebra, analysis and the theory of ordinary and partial differential equations are thoroughly introduced and applied in the modeling process. Examples of applications in the fields electrical networks, chemical reaction dynamics, population dynamics, fluid dynamics, elasticity theory and crystal growth are treated comprehensively.
Über den Autor
Prof. Dr. Christof Eck, Prof. Dr. Harald Garcke, Universität Regensburg Prof. Dr. Peter Knabner, Universität Erlangen
Zusammenfassung

Provides a well-structured introduction to the modeling process using mathematical structures as ordering principle

Contains a wealth of examples from applications in the natural and engineering sciences

The book starts with simple models based on linear algebra and ends up with complex models involving nonlinear PDEs and free boundaries

Contains more than 150 exercises with increasing difficulty

Of use both for undergraduate students as well as experienced researchers which aim to learn about the modeling process

Includes supplementary material: [...]

Inhaltsverzeichnis
1Introduction.-

2 Systems of Linear Equations.-

3 Basic Principles of Thermodynamics.-

4 Ordinary Differential Equations.-

5 Continuum Mechanics.-

6 Partial Differential Equations.-

7 Free Boundary Problems.-

Details
Erscheinungsjahr: 2017
Fachbereich: Allgemeines
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Springer Undergraduate Mathematics Series
Inhalt: xv
509 S.
105 s/w Illustr.
2 farbige Illustr.
509 p. 107 illus.
2 illus. in color.
ISBN-13: 9783319551609
ISBN-10: 3319551604
Sprache: Englisch
Herstellernummer: 978-3-319-55160-9
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Eck, Christof
Knabner, Peter
Garcke, Harald
Auflage: 1st ed. 2017
Hersteller: Springer International Publishing
Springer International Publishing AG
Springer Undergraduate Mathematics Series
Maße: 235 x 155 x 29 mm
Von/Mit: Christof Eck (u. a.)
Erscheinungsdatum: 21.04.2017
Gewicht: 0,791 kg
Artikel-ID: 109041733
Über den Autor
Prof. Dr. Christof Eck, Prof. Dr. Harald Garcke, Universität Regensburg Prof. Dr. Peter Knabner, Universität Erlangen
Zusammenfassung

Provides a well-structured introduction to the modeling process using mathematical structures as ordering principle

Contains a wealth of examples from applications in the natural and engineering sciences

The book starts with simple models based on linear algebra and ends up with complex models involving nonlinear PDEs and free boundaries

Contains more than 150 exercises with increasing difficulty

Of use both for undergraduate students as well as experienced researchers which aim to learn about the modeling process

Includes supplementary material: [...]

Inhaltsverzeichnis
1Introduction.-

2 Systems of Linear Equations.-

3 Basic Principles of Thermodynamics.-

4 Ordinary Differential Equations.-

5 Continuum Mechanics.-

6 Partial Differential Equations.-

7 Free Boundary Problems.-

Details
Erscheinungsjahr: 2017
Fachbereich: Allgemeines
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Springer Undergraduate Mathematics Series
Inhalt: xv
509 S.
105 s/w Illustr.
2 farbige Illustr.
509 p. 107 illus.
2 illus. in color.
ISBN-13: 9783319551609
ISBN-10: 3319551604
Sprache: Englisch
Herstellernummer: 978-3-319-55160-9
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Eck, Christof
Knabner, Peter
Garcke, Harald
Auflage: 1st ed. 2017
Hersteller: Springer International Publishing
Springer International Publishing AG
Springer Undergraduate Mathematics Series
Maße: 235 x 155 x 29 mm
Von/Mit: Christof Eck (u. a.)
Erscheinungsdatum: 21.04.2017
Gewicht: 0,791 kg
Artikel-ID: 109041733
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