Overview
Mathematische Modellbildung und numerische Simulation sind neben dem Experiment und der Theoriebildung zur dritten Säule der naturwissenschaftlichen Forschung geworden. Daraus ergibt sich die Erfordernis, auch die Grundlagen zur Konstruktion mathematischer Modelle und charakteristische Beispiele für die Ausbildung von Studierenden aufzubereiten. Dieses Lehrbuch bietet in kompakter Form die Grundaspekte, die erforderlich sind, um in den Natur-, Ingenieur- und Lebenswissenschaften konsistente mathematische Modelle zu erarbeiten. Der Stoff behandelt einführend Fragen zur Dimensionsanalyse, zur asymptotischen Entwicklung und zu Grenzschichten. Diese Thematik wird systematisch bei der Darstellung der Grundprinzipien der Mechanik insbesondere der mathematischen Modellierung von strömenden Medien aufgegriffen. Durch Einbezug von Wärmeleitungsprozessen erschließt sich u.a. ein Weg zur Modellbildung bei der Behandlung einer breiten Klasse von freien Randwertproblemen. Das Studium mehrerer größerer Fallbeispiele ergänzt und erläutert weiter die dargebotenen Inhalte. Das Buch kann (auszugsweise) für eine einführende zwei- oder vierstündige Lehrveranstaltung als Orientierung dienen. Als Voraussetzung für das Verständnis des Stoffes sind nur relativ einfache Kenntnisse aus Analysis und linearer Algebra erforderlich.
Full Product Details
Author: Karl-Heinz Hoffmann ,
Gabriele Witterstein ,
Gabriele Witterstein
Publisher: Birkhauser Verlag AG
Imprint: Birkhauser Verlag AG
Edition: 1. Aufl. 2014., korr. Nachdruck 2014
Dimensions:
Width: 16.80cm
, Height: 1.00cm
, Length: 24.00cm
Weight: 0.454kg
ISBN: 9783764399740
ISBN 10: 3764399740
Pages: 159
Publication Date: 10 January 2014
Audience:
Professional and scholarly
,
Professional & Vocational
Format: Paperback
Publisher's Status: Active
Availability: Out of stock
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.
Language: German
Reviews
From the book reviews: The textbook is an introduction to mathematical modeling in natural-, economic- and engineering sciences. The subject of the book is organized in a way that every chapter can be studied separately. The textbook requires only basic knowledge from mathematical analysis and linear algebra. It is strongly recommended for all who are interested in mathematical modeling. (Eduard Kostolansky, zbMATH, 2014) From the book reviews: The textbook is an introduction to mathematical modeling in natural-, economic- and engineering sciences. The subject of the book is organized in a way that every chapter can be studied separately. The textbook requires only basic knowledge from mathematical analysis and linear algebra. It is strongly recommended for all who are interested in mathematical modeling. (Eduard Kostolansky, zbMATH, 2014)
From the book reviews: The textbook is an introduction to mathematical modeling in natural-, economic- and engineering sciences. ... The subject of the book is organized in a way that every chapter can be studied separately. ... The textbook requires only basic knowledge from mathematical analysis and linear algebra. It is strongly recommended for all who are interested in mathematical modeling. (Eduard Kostolansky, zbMATH, 2014) From the book reviews: The textbook is an introduction to mathematical modeling in natural-, economic- and engineering sciences. The subject of the book is organized in a way that every chapter can be studied separately. The textbook requires only basic knowledge from mathematical analysis and linear algebra. It is strongly recommended for all who are interested in mathematical modeling. (Eduard Kostolansky, zbMATH, 2014) From the book reviews: The textbook is an introduction to mathematical modeling in natural-, economic- and engineering sciences. The subject of the book is organized in a way that every chapter can be studied separately. The textbook requires only basic knowledge from mathematical analysis and linear algebra. It is strongly recommended for all who are interested in mathematical modeling. (Eduard Kostolansky, zbMATH, 2014)
From the book reviews: The textbook is an introduction to mathematical modeling in natural-, economic- and engineering sciences. The subject of the book is organized in a way that every chapter can be studied separately. The textbook requires only basic knowledge from mathematical analysis and linear algebra. It is strongly recommended for all who are interested in mathematical modeling. (Eduard Kostolansky, zbMATH, 2014)
From the book reviews: The textbook is an introduction to mathematical modeling in natural-, economic- and engineering sciences. The subject of the book is organized in a way that every chapter can be studied separately. The textbook requires only basic knowledge from mathematical analysis and linear algebra. It is strongly recommended for all who are interested in mathematical modeling. (Eduard Kostolansky, zbMATH, 2014)
Author Information
Dr.h.c.mult Karl-Heinz Hoffmann ist Professor für Mathematische Modellierung an der Technischen Universität München. Dr. Gabrielle Witterstein ist wissenschaftliche Assistentin am Lehrstuhl für Mathematische Modellierung der Technischen Universität München.
