Applied Partial Differential Equations: : A Visual Approach

Peter Markowich

ISBN 10: 3662518120 / ISBN 13: 9783662518120

Editore: Springer Berlin Heidelberg, 2016

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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.

Codice articolo 9783662518120

Dati bibliografici

• Titolo: Applied Partial Differential Equations: : A Visual Approach
• Editore: Springer Berlin Heidelberg
• Data di pubblicazione: 2016
• Lingua: Inglese
• ISBN 10: 3662518120
• ISBN 13: 9783662518120
• Rilegatura: Taschenbuch
• Condizione: Neu
• Dimensioni: 246 L x 189 A x 12 P (millimetri) 246 millimetri di larghezza per 189 millimetri di altezza per 12 millimetri di profondità
• Peso: 478 grammi

Descrizione articolo

Riassunto

Unique combination of mathematics and photography

Informazioni sull?autore

Prof. Peter Markowich is the recipient of the Wittgenstein Award 2000, the highest ranking Austrian Science Prize.