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Sunday, February 16, 2020 | History

6 edition of Mathematical modeling with case studies found in the catalog.

Mathematical modeling with case studies

Barnes, Belinda Dr.

Mathematical modeling with case studies

a differential equations approach using Maple and Matlab

by Barnes, Belinda Dr.

  • 154 Want to read
  • 20 Currently reading

Published by Chapman & Hall/CRC in Boca Raton .
Written in English

    Subjects:
  • Maple (Computer file),
  • Differential equations -- Mathematical models

  • Edition Notes

    Includes bibliographical references and index.

    StatementBelinda Barnes, Glenn Robert Fulford.
    ContributionsFulford, Glenn.
    Classifications
    LC ClassificationsQA371.3 .B37 2009
    The Physical Object
    Paginationp. cm.
    ID Numbers
    Open LibraryOL22679974M
    ISBN 109781420083484
    LC Control Number2008049372

    Moreover, modelling has been and continues to be a driving force for the development of mathematics itself. Most of the material is accessible to any reader with a minimum of mathematical skill, even those who are "rusty" in calculus. Each chapter ends with a set of exercises and some suggestions for class projects. Cascades of compartments First-order linear DEs Equilibrium points and stability Case study: money, money, money makes the world go around Models of Single Populations Exponential growth Density-dependent growth Limited growth with harvesting Case study: anchovy wipe-out Case study: how can 2 x birds mean rare?

    I find myself asking how I might use this book. The authors often examine a model numerically before solving it analytically. The book's cases and lab exercises focus on hypothesis testing and model development in the context of real data. The final prices may differ from the prices shown due to specifics of VAT rules About this book Over the past decade there has been an increasing demand for suitable material in the area of mathematical modelling as applied to science and engineering.

    The case studies all arise from workshops organized by the editors on the teaching of mathematical modelling and a common feature of the studies is that they provide ample scope for group Mathematical modeling with case studies book project work as well as the use of microcomputers to study the models. Laddas ned direkt Recensioner i media Praise for the Second Edition: "The book is written in a very lucid manner, with numerous case studies and examples thoroughly discussed. The final prices may differ from the prices shown due to specifics of VAT rules About this Textbook Over the past decade there has been an increasing demand for suitable material in the area of mathematical modelling as applied to science, engineering, business and management. Others are unique, such as the fascinating situation in which an engineer, armed only with a slide rule, had 24 hours to compute whether a valve would hold when a temporary rock plug was removed from a water tunnel. A study of the Laplace transform method follows with explanations of the transfer function and the power of Laplace transform for obtaining the analytical solution of coupled differential equations.


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Mathematical modeling with case studies by Barnes, Belinda Dr. Download PDF Ebook

I find myself asking how I might use this book. Laddas ned direkt Recensioner i media Praise for the Second Edition: "The book is written in a very lucid manner, with numerous case studies and examples thoroughly discussed. Includes bibliographical references pages and index.

Mathematical modelling : a source book of case studies

The book also shows how particular mathematical approaches are adapted Mathematical modeling with case studies book a variety of problems at multiple biological scales.

The part that makes the treatment particularly interesting is that actual specific properties of materials e. 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.

As a beginning text in modeling, readers will learn to value the approach and apply competencies in other settings. The book is composed of three parts each Mathematical modeling with case studies book of two so-called case studies and three worked projects followed by ten problems left for the reader to carry out.

In this textbook we have attempted to present the important fundamental concepts of mathematical modelling and to demonstrate their use in solving certain scientific and engineering problems. I found myself getting impatient with some of the longer descriptions since I was always trying to assess: "What is the main mathematical lesson we can be teaching here?

In many cases, an initial model is created, then modified along the way. Case study: prickly pear meets its moth Case study: geese defy mathematical convention Case study: possums threaten New Zealand cows Formulating Heat and Mass Transport Models Introduction Some basic physical laws Model for a hot water heater Heat conduction and Fourier's law Heat conduction through a wall Radial heat conduction Heat fins Diffusion Solving Time-Dependent Heat Problems The cooling coffee problem revisited The water heater problem revisited Case study: it's hot and stuffy in the attic Spontaneous combustion Case study: fish and chips explode Solving Heat Conduction and Diffusion Problems Boundary condition problems Heat loss through a wall Case study: double glazing: what's it worth?

Some prior knowledge of computer programming would be useful but is not considered essential.

Case Studies in Mathematical Modeling: Ecology, Physiology, and Cell Biology, 1st edition

Others are unique, such as the fascinating situation in which an engineer, armed only with a slide rule, had 24 hours to compute whether a valve would hold when a temporary rock plug was removed from a water tunnel. The supporting mathematical, coding and biological background permit readers to explore a problem, understand assumptions, and the meaning of their results.

The experiential components provide hands-on learning both in the lab and Mathematical modeling with case studies book the computer. In preparing the text we have tried to use our experience of teaching mathematical modelling to undergraduate students in a wide range of areas including mathematics and computer science and disciplines in engineering and science.

It is the means by which mathematics becomes useful to virtually any subject. The authors often examine a model Mathematical modeling with case studies book before solving it analytically. This is the best treasury of real case problems seen in a single book.Mar 10,  · Exploring Mathematical Modeling in Biology through Case Studies and Experimental Activities provides supporting materials for courses taken by students majoring in mathematics, computer science or in the life sciences.

The book's cases and lab exercises focus on hypothesis testing and model development in the context of real tjarrodbonta.com Edition: 1. Dec 15,  · 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 mathematicalCited by: 1. May 19,  · About the Book. Learn how to employ mathematical modeling to engage students at all levels.

Mathematical modeling plays an increasingly important role both in real-life applications -- in engineering, business, the social sciences, climate study, advanced design, and more -- and within mathematics education itself.Overall, a pdf good book.

Very readable, accessible, and clear in exposition. It abounds with pdf and case studies that offer the reader plenty of opportunities to experiment with the supplied code (matlab AND maple). The case studies read like little articles that any budding applied mathematician would find entertaining.

Bonus points.Mathematical Modelling With Case Studies: Using Maple And Matlab, Third Edition (textbooks Download pdf Mathematics) Download[/size] 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.Mathematical Modelling ebook Case Studies - - Mathematical Modelling with Case Studies: Using Maple(TM) and MATLAB(R), Third Edition provides He has published several textbooks on mathematical modeling.

Mathematical Modeling Case Studies in Computer - This wiki page is a companion for the synthesis lecture Optimization and Mathematical Modeling /5().