1.

Record Nr.

UNINA9910483434203321

Autore

Quarteroni Alfio

Titolo

A primer on mathematical modelling / / Alfio Quarteroni, Paola Gervasio ; translated by Simon G Chiossi

Pubbl/distr/stampa

Cham, Switzerland : , : Springer, , [2020]

©2020

ISBN

3-030-44541-0

Edizione

[1st ed. 2020.]

Descrizione fisica

1 online resource (XV, 238 p. 119 illus., 109 illus. in color.)

Collana

La Matematica per il 3+2, , 2038-5722 ; ; 121

Disciplina

515

Soggetti

Mathematical models

Engineering mathematics

Mathematical analysis

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

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.

Sommario/riassunto

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.