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zbMATH — the first resource for mathematics

A primer on mathematical modelling. Based on a translation of the Italian edition. (English) Zbl 07201777
Unitext 121. La Matematica per il 3+2. Cham: Springer (ISBN 978-3-030-44540-9/pbk; 978-3-030-44541-6/ebook). xv, 238 p. (2020).
Preliminary review / Publisher’s description: 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.
MSC:
00A71 General theory of mathematical modeling
Software:
Octave
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