Mathematical Modelling in One Dimension: An Introduction via Difference and Differential Equations

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Jacek Banasiak (University of KwaZulu-Natal, South Africa)

Mathematical Modelling in One Dimension

An Introduction via Difference and Differential Equations

Jacek Banasiak (University of KwaZulu-Natal, South Africa)

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English

Cambridge University Press
21 February 2013

Differential calculus & equations; Mathematical modelling

Series: AIMS Library of Mathematical Sciences

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.

By: Jacek Banasiak (University of KwaZulu-Natal South Africa)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Volume: 5
Dimensions: Height: 216mm, Width: 140mm, Spine: 7mm
Weight: 170g
ISBN: 9781107654686
ISBN 10: 1107654688
Series: AIMS Library of Mathematical Sciences
Pages: 122
Publication Date: 21 February 2013
Audience: College/higher education , Professional and scholarly , Primary , Undergraduate
Format: Paperback
Publisher's Status: Active

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.

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.