Applied Partial Differential Equations: : A Visual Approach

Beschreibung

Druck auf Anfrage Neuware - Printed after ordering - This book presents selected topics in science and engineering from an applied-mathematics point of view. The described natural, socioeconomic, and engineering phenomena are modeled by partial differential equations that relate state variables such as mass, velocity, and energy to their spatial and temporal variations. Typically, these equations are highly nonlinear; in many cases they are systems, and they represent challenges even for the most modern and sophisticated mathematical and numerical-analytic techniques. The selected topics reflect the longtime scientific interests of the author. They include flows of fluids and gases, granular-material flows, biological processes such as pattern formation on animal skins, kinetics of rarified gases, free boundaries, semiconductor devices, and socioeconomic processes. Each topic is briefly introduced in its scientific or engineering context, followed by a presentation of the mathematical models in the form of partial differential equations with a discussion of their basic mathematical properties. The author illustrates each chapter by a series of his own high-quality photographs, which demonstrate that partial differential equations are powerful tools for modeling a large variety of phenomena influencing our daily lives.

Bestandsnummer des Verkäufers 9783662518120

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Bibliografische Details

Titel

Applied Partial Differential Equations: : A Visual Approach

Verlag

Springer Berlin Heidelberg

Veröffentlichungsdatum

2016

Sprache

Englisch

ISBN-10

3662518120

ISBN-13

9783662518120

Bindung

Taschenbuch

Zustand

Neu

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