Mathematical Modelling with Case Studies

Using Maple and MATLAB, Third Edition

B. Barnes, G..R. Fulford

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Hardback

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English

Chapman & Hall/CRC
16 December 2014

Differential calculus & equations; Mathematical modelling

Series: Textbooks in Mathematics

Mathematical Modelling with Case Studies: Using Maple™ and MATLAB®, Third Edition provides students with hands-on modelling skills for a wide variety of problems involving differential equations that describe rates of change. While the book focuses on growth and decay processes, interacting populations, and heating/cooling problems, the mathematical techniques presented can be applied to many other areas.

The text carefully details the process of constructing a model, including the conversion of a seemingly complex problem into a much simpler one. It uses flow diagrams and word equations to aid in the model-building process and to develop the mathematical equations. Employing theoretical, graphical, and computational tools, the authors analyze the behavior of the models under changing conditions. The authors often examine a model numerically before solving it analytically. They also discuss the validation of the models and suggest extensions to the models with an emphasis on recognizing the strengths and limitations of each model.

The highly recommended second edition was praised for its lucid writing style and numerous real-world examples. With updated Maple™ and MATLAB® code as well as new case studies and exercises, this third edition continues to give students a clear, practical understanding of the development and interpretation of mathematical models.

By: B. Barnes, G..R. Fulford
Imprint: Chapman & Hall/CRC
Country of Publication: United States
Edition: 3rd edition
Volume: 25
Dimensions: Height: 254mm, Width: 178mm, Spine: 25mm
Weight: 890g
ISBN: 9781482247725
ISBN 10: 1482247720
Series: Textbooks in Mathematics
Pages: 390
Publication Date: 16 December 2014
Audience: College/higher education , Primary
Format: Hardback
Publisher's Status: Active

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.

Reviews for Mathematical Modelling with Case Studies: Using Maple and MATLAB, Third Edition

Praise for the Second Edition: The book is written in a very lucid manner, with numerous case studies and examples thoroughly discussed. The material is very well organized, generously illustrated, and delightfully presented. All chapters, except the first one, conclude with scores of nicely designed exercises that can be used for independent study. The book contains enough material to organize a new well-structured one-semester course or to complement the existing one with additional examples and problems and is highly recommended for either purpose -Zentralblatt MATH, 1168 The book can be useful for students of mathematical modeling. They will find many skills for modeling and solving real problems. Useful sheets for Maple and MATLAB are included for numerical solution. The most important feature of the book is that it contains many real-life examples. ... The main examples are solved in detail and the others are left for the reader. This is the best treasury of real case problems seen in a single book. -EMS Newsletter, September 2009