- This title is eligible for Amazon Fall Textbook promotions. Get unlimited free Two-Day Shipping for three months with a free trial of Amazon Prime. Add $100 worth of eligible textbooks to your cart to qualify. Sign up at checkout. New members only. Here's how (restrictions apply)
Join Amazon Prime and ship Two-Day for free and Overnight for $3.99. Already a member? Sign in.
|
|||||||||
Special Offers and Product Promotions
Editorial Reviews
Product Description
Mathematical Modelling with Case Studies provides students with a firm grounding in basic modelling skills applicable to a wide variety of problems. The focus is on models involving differential equations, with the solution of differential equations as the primary technique used.The models considered relate to growth and decay processes, interacting populations, and heating/cooling problems, but the range of applications and mathematical techniques presented provide a broad appreciation of the scope of this type of modelling, while the skills developed readily transfer to many other areas. Within each modelling section of the book, the authors carefully consider the procedure for constructing a model, emphasizing a start simple, evaluate, and then extend process. They use flow diagrams and word equations and discuss the assumptions made, consequent limitations, and impact on the interpretation of results--a structured, detailed approach that has proved a successful learning strategy. Along with theoretical and computational tools for analysis, the authors also encourage graphical methods and integrate throughout the text MAPLE code and its ensuing results. The prerequisites for this text are minimal, including only a basic knowledge of calculus and fundamental computing skills. Thus the book is an excellent choice both for mathematics students and for those in the many other fields of study that require some expertise in modelling.
About the Author
Belinda Barnes is at Australian National University in Canberra and Glenn Fulford is at the University of New South Wales in Canberra.
Mathematical Modelling with Case Studies provides students with a firm grounding in basic modelling skills applicable to a wide variety of problems. The focus is on models involving differential equations, with the solution of differential equations as the primary technique used.The models considered relate to growth and decay processes, interacting populations, and heating/cooling problems, but the range of applications and mathematical techniques presented provide a broad appreciation of the scope of this type of modelling, while the skills developed readily transfer to many other areas. Within each modelling section of the book, the authors carefully consider the procedure for constructing a model, emphasizing a start simple, evaluate, and then extend process. They use flow diagrams and word equations and discuss the assumptions made, consequent limitations, and impact on the interpretation of results--a structured, detailed approach that has proved a successful learning strategy. Along with theoretical and computational tools for analysis, the authors also encourage graphical methods and integrate throughout the text MAPLE code and its ensuing results. The prerequisites for this text are minimal, including only a basic knowledge of calculus and fundamental computing skills. Thus the book is an excellent choice both for mathematics students and for those in the many other fields of study that require some expertise in modelling.
About the Author
Belinda Barnes is at Australian National University in Canberra and Glenn Fulford is at the University of New South Wales in Canberra.
Product Details
Would you like to update product info or give feedback on images?
|
Inside This Book
(learn more)
Browse and search another edition of this book.
Browse and search another edition of this book.
First Sentence:
Models of systems have become part of our everyday lives: they range from global decisions having a profound impact on our future, to local decisions about whether to cycle to university based on weather predictions. Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
New Zealand, Lotka Volterra, Lake Ontario, Lake Burley Griffin, Taylor's Theorem, Lake Erie, Casc Study, Cusc Study New!
Concordance | Text Stats Browse Sample Pages:
Front Cover | Copyright | Table of Contents | Excerpt | Index | Back Cover | Surprise Me!
Models of systems have become part of our everyday lives: they range from global decisions having a profound impact on our future, to local decisions about whether to cycle to university based on weather predictions. Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
New Zealand, Lotka Volterra, Lake Ontario, Lake Burley Griffin, Taylor's Theorem, Lake Erie, Casc Study, Cusc Study New!
Concordance | Text Stats Browse Sample Pages:
Front Cover | Copyright | Table of Contents | Excerpt | Index | Back Cover | Surprise Me!