Barnes / Fulford Mathematical Modelling with Case Studies

Using Maple and MATLAB, Third Edition
3. Auflage 2015
ISBN: 978-1-4822-4775-6
Verlag: Taylor & Francis
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 388 Seiten

Reihe: Textbooks in Mathematics

With updated Maple™ and MATLAB® code and new case studies and exercises, this edition provides hands-on model building skills. Focusing on growth and decay processes, interacting populations, and heating/cooling problems, the text presents mathematical techniques applicable to models involving differential equations that describe rates of change. The book carefully details the process of constructing a model, including the conversion of a seemingly complex problem into a much simpler one.

Zielgruppe

Undergraduate students taking a mathematical modeling course; engineering, biology, and physical science students; and applied mathematicians.

Autoren/Hrsg.

Barnes, B.

Fulford, G..R.

Fachgebiete

• Sozialwissenschaften Pädagogik Lehrerausbildung, Unterricht & Didaktik Allgemeine Didaktik Naturwissenschaften, Mathematik (Unterricht & Didaktik)
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen

Inhaltsverzeichnis

Introduction to mathematical modelling. Compartmental models. Models of single populations. Numerical solution of differential equations. Interacting population models. Phase-plane analysis. Linearisation analysis. Some extended population models. Formulating basic heat models. Solving time-dependent heat problems. Solving heat conduction problems. Introduction to partial differential equations. Appendices.