B. Barnes, G. . R. Fulford

Mathematical Modelling with Case Studies (eBook, PDF)

Using Maple and MATLAB, Third Edition

• Format: PDF

Produktbeschreibung

This popular text provides students with hands-on modeling skills for a wide variety of problems involving differential equations that describe rates of change. This edition includes updated Maple and MATLAB code as well as new case studies and exercises. The text focuses on growth and decay processes, interacting populations, and heating/cooling problems. It carefully details the process of constructing a model. It uses flow diagrams and word equations to aid in the model-building process and to develop the mathematical equations.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 388
• Erscheinungstermin: 15. Dezember 2014
• Englisch
• ISBN-13: 9781482247756
• Artikelnr.: 57081705

Autorenporträt

B. Barnes is a director in the Australian Government Research Bureau and a visiting fellow at the National Centre for Epidemiology and Population Health at the Australian National University, Canberra. She has published work in a number of applied areas, such as bifurcation theory, population dynamics, carbon sequestration, biological processes, and disease transmission.

G.R. Fulford was recently a research associate and senior lecturer in applicable mathematics at the Queensland University of Technology. He has published several textbooks on mathematical modeling and industrial mathematics as well as other work in areas, such as mucus transport, spermatozoa propulsion, infectious disease modeling, tuberculosis in possums, tear-flow dynamics in the eye, and population genetics.

Inhaltsangabe

Introduction to Mathematical Modeling. Compartmental Models. Models of
Single Populations. Numerical Solution of Differential Equations.
Interacting Population Models. Phase-Plane Analysis. Linearization
Analysis. Some Extended Population Models. Formulating Heat and Mass
Transport Models. Solving Time-Dependent Heat Problems. Solving Heat
Conduction and Diffusion Problems. Introduction to Partial Differential
Equations. Appendices. References. Index.