Mathematical models are the decisive tool to explain and predict phenomena in the natural and engineering sciences. With this book readers will learn to derive mathematical models which help to understand real world phenomena. At the same time a wealth of important examples for the abstract concepts treated in the curriculum of mathematics degrees are given. An essential feature of this book is that mathematical structures are used as an ordering principle and not the fields of application.
Methods from linear algebra, analysis and the theory of ordinary and partial differential equations are thoroughly introduced and applied in the modeling process. Examples of applications in the fields electrical networks, chemical reaction dynamics, population dynamics, fluid dynamics, elasticity theory and crystal growth are treated comprehensively.
Rezensionen / Stimmen
"The goal of this book (an English translation of a German text first published about ten years ago) is to teach undergraduate and graduate students the basic examples and techniques of mathematical modeling of real-world phenomena. ... for a very well-prepared reader with a willingness to work hard, there is a wealth of interesting material to be found here." (Mark Hunacek, MAA Reviews, maa.org, July, 2017)
Produkt-Info
Reihe
Auflage
Sprache
Verlagsort
Verlagsgruppe
Springer International Publishing
Zielgruppe
Editions-Typ
Illustrationen
2 farbige Abbildungen, 105 s/w Abbildungen, 1 farbige Tabelle
105 black & white illustrations, 2 colour illustrations, 1 colour tables, biography
Maße
Höhe: 235 mm
Breite: 155 mm
Dicke: 29 mm
Gewicht
ISBN-13
978-3-319-55160-9 (9783319551609)
DOI
10.1007/978-3-319-55161-6
Schweitzer Klassifikation
Prof. Dr. Christof Eck, Prof. Dr. Harald Garcke, Universität Regensburg Prof. Dr. Peter Knabner, Universität Erlangen
