An Introduction to Mathematical Modeling | 
 enlarge | Author: Edward A. Bender
Publisher: Dover Publications
Category: Book
List Price: $12.95
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Rating:  4 reviews
Sales Rank: 276010
Media: Paperback
Pages: 268
Number Of Items: 1
Shipping Weight (lbs): 0.6
Dimensions (in): 8.4 x 5.3 x 0.6
ISBN: 048641180X
Dewey Decimal Number: 511.8
EAN: 9780486411804
Publication Date: March 6, 2000
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Product Description
Employing a practical, "learn by doing" approach, this first-rate text fosters the development of the skills beyond pure mathematics needed to set up and manipulate mathematical models. From a diversity of fields—including science, engineering, and operations research—come over 100 reality-based examples. Accessible text assumes only elementary calculus, basic probability theory for first part; ordinary differential equations, continuous probability for second. Numerous references. 1978 ed. 27 b/w figures.
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| Customer Reviews:
 Eye-opener August 25, 2000
L. Wathieu (Boston, MA USA)
27 out of 30 found this review helpful
I read this book for the first time when I was in college. It addresses many fundamental and practical questions with tremendous clarity. It particularly stands out in my mind because of its simple and compelling answers to three questions: Why do we need models of reality? What are the constraints on rigorous modelling (trade-offs between precision vs. generality vs.simplicity)? How to evaluate a mathematical model?
Economical first book on mathematical modeling March 22, 2008
calvinnme (Fredericksburg, Va)
There are so many expensive books on this subject, this gives you a concise introduction to the field of mathematical modeling that is informative and interesting. The author doesn't tackle the mathematical models of any one field. Instead he tries to illustrate the process of designing and analyzing mathematical models by showing examples from a variety of disciplines. There are plenty of examples in this book, but don't expect recipes, because there really is no such thing as a mathematical modeling recipe. There are multiple approaches and thus multiple answers to just about every modeling problem. What the author does is make you comfortable with these facts and give you some questions to ask when approaching any modeling problem. Anybody with an understanding of calculus and ordinary differential equations and maybe a dash of probability theory should feel at home with this book. Highly recommended, especially before tackling some of the more expensive and specialized books on this subject.
 Good survey course in mathematical modeling September 4, 2002
Peter Soucy (Plymouth, MN USA)
22 out of 22 found this review helpful
Aimed at senior level undergraduates, the first chapter briefly discusses at a high level what mathematical models are, how they re formulated and rules of thumb as to how to evaluate them. The rest of the book surveys simple to moderately complex models applied to problems taken from a wide variety of disciplines in business, science, and engineering. As a survey course, brevity and breadth take precedent over depth and the examples are watered-down versions of problems taken from a plethora of sources cited throughout the text. However, the problems and models are not too superficial that they don t retain the essential issues modelers are likely to encounter.Although the book is intended primarily for college seniors and first year graduate students, Part I: Elementary Methods requires only first year calculus and basic probability whereas Part II: More Advanced Methods also requires differential equations. Therefore, the book will appeal to various levels. The book is rather dated as is evident by its lack of emphasis on numerical methods and no one should expect to be ready for any serious real world modeling as a result of reading this text alone. However, the book does not pretend to be anything more than what it is and the author cautions that it should merely supplement and not substitute mathematics and science coursework. (I would also add that a few courses in numerical methods and computer science would also be the order of the day.) Although the first chapter outlines a quick four-step process for formulating mathematical models, the author stresses the role of discussion and research behind each high level step. Any attempt to provide detailed cookbook heuristics would be a sham. Professor Bender also makes a good point about addressing the ambiguity associated with complex problems raised by clients. Indeed, two themes that resonate throughout the examples are redefining the problem by clarifying objectives through discussion as well as iteratively refining a model by adding (useful) detail to an initially crude one. If nothing else, iteratively modeling elucidates the subtleties of the problem under discussion. Success as an applied mathematician for industry thus requires excellent interpersonal skills and the author clearly reflects this sentiment by requiring group discussions for the book s exercises containing vaguely stated and open-ended problems having multiple answers. He also notes the crucial role the applied mathematician must play in helping a client clarify his/her objectives. A must read for any aspiring industrial mathematician.
Value for money December 2, 2008
User313 (England, UK)
Built up from various examples in self-contained concise chapters, this books gives a number of ideas for modelling different subjects.
Some confidence in Maths is presumed.
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