Mathematical Modeling

Häftad, Engelska, 2017

Del i serien Springer Undergraduate Mathematics Series

388 kr

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2017-04-21
Mått:155 x 235 x 32 mm
Vikt:788 g
Format:Häftad
Språk:Engelska
Serie:Springer Undergraduate Mathematics Series
Antal sidor:509
Förlag:Springer International Publishing AG
ISBN:9783319551609
Originaltitel:Mathematische Modelierung

Utforska kategorier

Mer om författaren

Prof. Dr. Christof Eck, Prof. Dr. Harald Garcke, Universität Regensburg Prof. Dr. Peter Knabner, Universität Erlangen

Recensioner i media

“Mathematical Modeling is very well written and provides a rigorous introduction to the mathematical modeling of problems from physics and engineering. It is well suited as a text for mathematical modeling courses at the undergraduate and graduate levels that focus on classical deterministic models at continuous scales.” (Laura A. Miller, SIAM Review, Vol. 61 (2), 2019)“The goal of this book (an English translation of a German text first published about ten years ago) is to teach undergraduate and graduate students the basic examples and techniques of mathematical modeling of real-world phenomena. … for a very well-prepared reader with a willingness to work hard, there is a wealth of interesting material to be found here.” (Mark Hunacek, MAA Reviews, maa.org, July, 2017)

Innehållsförteckning

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.-