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A Primer on Mathematical Modelling [electronic resource] / by Alfio Quarteroni, Paola Gervasio

Author
Quarteroni, Alfio
Published
Cham : Springer International Publishing : Imprint: Springer, 2020.
Edition
1st ed. 2020.
Physical Description
XV, 238 pages 119 illustrations, 109 illustrations in color : online resource
Additional Creators
Gervasio, Paola and SpringerLink (Online service)
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Series
Contents
1. A warm-up to models -- 2. Getting started -- 3. Reckoning with the computer -- 4. A virtual surfer for the web -- 5. A network of capillaries -- 6. Predators and preys in the maths ocean -- 7. Take-home message -- 8. Solutions to exercises.
Summary
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.
Subject(s)
ISBN
9783030445416
Digital File Characteristics
PDF
text file
Part Of
Springer Nature eBook
View MARC record | catkey: 31822255