Mathematical Modelling in One Dimension demonstrates the universality of mathematical techniques through a wide variety of applications. Learn how the same mathematical idea governs loan repayments, drug accumulation in tissues or growth of a population, or how the same argument can be used to find the trajectory of a dog pursuing a hare, the trajectory of a self-guided missile or the shape of a satellite dish. The author places equal importance on difference and differential equations, showing how they complement and intertwine in describing natural phenomena.
Les mer
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.
Les mer
Uses a wide variety of applications to demonstrate the universality of mathematical techniques in describing and analysing natural phenomena.

Produktdetaljer

ISBN
9781107654686
Publisert
2013-02-21
Utgiver
Cambridge University Press
Vekt
170 gr
Høyde
216 mm
Bredde
140 mm
Dybde
7 mm
Aldersnivå
U, P, 05, 06
Språk
Product language
Engelsk
Format
Product format
Heftet
Antall sider
122

Forfatter

Biografisk notat

Jacek Banasiak studied mathematics at the Technical University of Łódź, 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 Łódź. 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.