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A Course in Mathematical Modeling (Mathematical Association of America Textbooks), by Douglas D. Mooney, Randall Swift
Free Ebook A Course in Mathematical Modeling (Mathematical Association of America Textbooks), by Douglas D. Mooney, Randall Swift
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The emphasis of this book lies on the teaching of mathematical modeling rather than simply presenting models. To this end the book starts with the simple discrete exponential growth model as a building block, and successively refines it. This involves adding variable growth rates, multiple variables, fitting growth rates to data, including random elements, testing exactness of fit, using computer simulations and moving to a continuous setting. No advanced knowledge is assumed of the reader, making this book suitable for elementary modeling courses. The book can also be used to supplement courses in linear algebra, differential equations, probability theory and statistics.
- Sales Rank: #828858 in Books
- Brand: Brand: The Mathematical Association of America
- Published on: 1999-03
- Original language: English
- Number of items: 1
- Dimensions: 6.97" h x 1.10" w x 10.00" l, 1.80 pounds
- Binding: Paperback
- 400 pages
- Used Book in Good Condition
From the Publisher
Students taking a course based on this book should have some mathematical maturity, but will need little advanced knowledge. The book presents more advanced topics on an as-needed basis and serves to show how the different topics of undergraduate mathematics can be used together to solve problems. The course presents elements of discrete dynamical systems, basic probability theory, differential equations, matrix algebra, stochastic processes, curve fitting, statistical testing, and regression analysis. Computer analysis is extensively used in conjunction with these topics. You can also use this book if you are seeking applications to supplement a course in linear algebra, differential equations, difference equations, probability theory, or statistics.
About the Author
Douglas Mooney's interest in how the physical world works led him to study physics as an undergraduate, and his interest in the mathematics behind physics led him to obtain his MA and PhD degrees in mathematics from the University of Kansas. A 1993 NSF-sponsored workshop in modeling biological resource issues at the University of Montana ignited Mooney's interest in applications and sparked an interest in biological modeling. It also led him to team up with colleague Randall Swift to develop the modeling course at Western Kentucky University that is the basis of this textbook. Douglas Mooney has also published a number of refereed papers on extensions and ordered extensions of topological spaces. He currently works at The Center for Healthcare Industry Performance Studies in Columbus, Ohio.
Randall Swift earned his PhD from the University of California, Riverside, and is currently associate professor of mathematics at Western Kentucky University in Bowling Green, Kentucky. He has published many refereed papers on harmonizable and other nonstationary processes, appled mathematics, and modeling. In 1997 he received the Western Kentucky University Ogden College of Science, Technology, and Health award for outstanding faculty research. One of his goals as a teacher has been to develop relevant applications of technology for use in the mathematics courses he teaches. This textbook is the result of that continuing effort.
Most helpful customer reviews
6 of 6 people found the following review helpful.
easy to understand
By Grad Student
Clear explanations. Models are from biology. Does not elaborate on the math and solving the differential equations, but a good overview.
32 of 34 people found the following review helpful.
Superb.
By A Customer
To break it down.
1. The authors write with a clarity and elegance that is almost universally absent in math/science texts. The book is beautifully paced. Anybody thinking about writing a technical book would do well to read this before starting out.
2. The mathematics is second to the modelling. They move from simple examples towards the formal mathematics, nothing is introduced without explanation. This is a vast improvement over so many other texts that are happy to derive the math first and then show an example, which is no way to engage the mind. It is the only text I have come across that presents differential equations and continuous stochastic processes in a palatable manner.
3. The exercises have been well thought out, and not just thrown in at the end of each chapter, reflecting the authors' teaching experience, and leave you with any number of directions in which to take your own steps in modelling.
It is simply one of the best written and engaging technical books I have read this or any other year. This books shows that one can write clearly about mathematics. If you really want to understand and ground yourself in math modelling and simulation, this is where to start.
0 of 1 people found the following review helpful.
Five Stars
By Brentwoodwalla
Good.
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