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A Primer on Mathematical Modelling

By (author) Alfio Quarteroni, By (author) Paola Gervasio, Translated by Simon G. Chiossi

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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, anÂ open-source programming language widely used in the scientific community. OctaveÂ functions and scripts for dealing with the problems presented in the text can beÂ 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.

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