A Primer on Mathematical Modelling
A Primer on Mathematical Modelling (UNITEXT, 121) by Alfio Quarteroni, Paola Gervasio
2020 | ISBN: 3030445402 | English | 253 pages | PDF | 7 MB
2020 | ISBN: 3030445402 | English | 253 pages | PDF | 7 MB
In this book we describe the magic world of mathematical models: starting from real-life problems, we formulate them in terms of equations, transform equations into algorithms and algorithms into programs to be executed on computers.
A broad variety of examples and exercises illustrate that properly designed models can, e.g.: predict the way the number of dolphins in the Aeolian Sea will change as food availability and fishing activity vary; describe the blood flow in a capillary network; calculate the PageRank of websites.
This book also includes a chapter with an elementary introduction to Octave, an open-source programming language widely used in the scientific community. Octave functions and scripts for dealing with the problems presented in the text can be downloaded from https://paola-gervasio.unibs.it/quarteroni-gervasio
This book is addressed to any student interested in learning how to construct and apply mathematical models.