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Mathematical Modeling 2017

Mathematical Modeling 2017

Autorzy
Wydawnictwo Springer International Publishing AG
Data wydania 21/04/2017
Wydanie Drugie
Liczba stron 509
Forma publikacji książka w miękkiej oprawie
Poziom zaawansowania Dla profesjonalistów, specjalistów i badaczy naukowych
ISBN 9783319551609
Kategorie modelowanie matematyczne
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Opis książki

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 Modeling 2017

Spis treści

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.-

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