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A Primer on Mathematical Modelling / by Alfio Quarteroni, Paola Gervasio

By: Contributor(s): Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: La Matematica per il 3+2 ; 121 | Springer eBook CollectionPublisher: Cham : Springer International Publishing, 2020Publisher: Cham : Imprint: Springer, 2020Edition: 1st ed. 2020Description: 1 Online-Ressource(XV, 238 p. 119 illus., 109 illus. in color.)ISBN:
  • 9783030445416
Subject(s): Additional physical formats: 9783030445409 | 9783030445423 | Erscheint auch als: 9783030445409 Druck-Ausgabe | Erscheint auch als: 9783030445423 Druck-AusgabeDOI: DOI: 10.1007/978-3-030-44541-6Online resources: Summary: 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.PPN: PPN: 1737520680Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SMA | ZDB-2-SXMS
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