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Informationen zum Autor Jacek Banasiak studied mathematics at the Technical University of Lódz, obtained his PhD from Strathclyde University, Glasgow, his DSc (habilitation) from the University of Warsaw and received the state title of Professor in Poland in 2007. He is currently a Research Professor in the School of Mathematics, Statistics and Computer Science at the University of KwaZulu-Natal in South Africa and an Extraordinary Professor at the Technical University of Lódz. His research interests lie in functional analysis and semigroup theory with application to models arising in natural sciences. He has authored and co-authored five monographs and over 90 papers on these topics. Klappentext Uses a wide variety of applications to demonstrate the universality of mathematical techniques in describing and analysing natural phenomena. Zusammenfassung The universality of mathematical techniques is demonstrated through a wide variety of applications and a description of basic methods for their analysis. The author places equal importance on difference and differential equations! showing how they complement and intertwine in describing natural phenomena. Inhaltsverzeichnis 1. Mathematical toolbox; 2. Basic difference equations models and their analysis; 3. Basic differential equations models; 4. Qualitative theory for a single equation; 5. From discrete to continuous models and back; Bibliography; Index.
List of contents
1. Mathematical toolbox; 2. Basic difference equations models and their analysis; 3. Basic differential equations models; 4. Qualitative theory for a single equation; 5. From discrete to continuous models and back; Bibliography; Index.