Interfaces: Modeling, Analysis, Numerics (Oberwolfach Seminars)

Science & Math

Deckelnick, Klaus

Garcke, Harald

Bänsch, Eberhard

Pozzi, Paola

Evolution

Birkhauser

<p>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.</p>
<p>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.</p>

Mathematical Modeling (Springer Undergraduate Mathematics Series)

Computers & Technology

Knabner, Peter

Eck, Christof

Computer Science

Springer

Das Lehrbuch bietet eine lebendige und anschauliche Einführung in die mathematische Modellierung von Phänomenen aus den Natur- und Ingenieurwissenschaften. Leser lernen, mathematische Modelle zu verstehen und selbst herzuleiten und finden eine Fülle von Beispielen, u. a. aus den Bereichen chemische Reaktionskinetik, Populationsdynamik, Strömungsdynamik, Elastizitätstheorie und Kristallwachstum. Die Methoden der Linearen Algebra, der Analysis und der Theorie der gewöhnlichen und partiellen Differentialgleichungen werden sorgfältig eingeführt.

Mathematische Modellierung (Springer-Lehrbuch) (German Edition)

Mathematics

Springer Spektrum

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