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Mathematical Modeling, Third Edition, by Mark M. Meerschaert
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Mathematical Modeling 3e is a general introduction to an increasingly crucial topic for today's mathematicians. Unlike textbooks focused on one kind of mathematical model, this book covers the broad spectrum of modeling problems, from optimization to dynamical systems to stochastic processes. Mathematical modeling is the link between mathematics and the rest of the world. Meerschaert shows how to refine a question, phrasing it in precise mathematical terms. Then he encourages students to reverse the process, translating the mathematical solution back into a comprehensible, useful answer to the original question. This textbook mirrors the process professionals must follow in solving complex problems.
Each chapter in this book is followed by a set of challenging exercises. These exercises require significant effort on the part of the student, as well as a certain amount of creativity. Meerschaert did not invent the problems in this book--they are real problems, not designed to illustrate the use of any particular mathematical technique. Meerschaert's emphasis on principles and general techniques offers students the mathematical background they need to model problems in a wide range of disciplines.
This new edition will be accompanied by expanded and enhanced on-line support for instructors. MATLAB material will be added to complement existing support for Maple, Mathematica, and other software packages, and the solutions manual will be provided both in hard copy and on the web.
* Increased support for instructors, including MATLAB material as well as other on-line resources
* New sections on time series analysis and diffusion models
* Additional problems with international focus such as whale and dolphin populations, plus updated optimization problems
- Sales Rank: #1299527 in Books
- Published on: 2007-07-02
- Original language: English
- Number of items: 1
- Dimensions: .85" h x 6.28" w x 8.97" l, 1.31 pounds
- Binding: Hardcover
- 352 pages
Most helpful customer reviews
22 of 22 people found the following review helpful.
If you teach, or learn modeling on your own, try this one
By Ignacio Fernandez Mendez
In this book you'll find, fully explained, subjects that are only mentioned briefly in other texts on modeling. I liked the chapter (chapter five) on Eigenvalue Methods for the analysis of dynamic models. I wished I had it four years ago when I was taking a course on modeling at the University of Washington. It really shows you how to do it. The same can be said about chapters 2 and 3 on optimization and chapters 7 and 8 on probability models (I liked specially the one on Markov Chains). I'm using it for teaching those techniques. The pseuodocode it includes is particularly helpful when you take the methods presented in the book to the computer. However, I would not recomend it to be used on its own as the only text in a course. It is a nice complement to texts like Gurney and Nisbet's Ecological Dynamics that presents many particular models in detail, while Meerschaert makes enphasis on general techniques. It's also a step up the ladder from "abc-of-modeling-techniques" texts like Vandermeer's Elementary Mathemathical Ecology. With 20/20 hindsight, if I had to learn modeling from the begining (or, if I had to teach it as I'm doing now) I would choose these titles as a step-by-step system, coupled with some Math packages like MathCad or Matlab.
2 of 2 people found the following review helpful.
simply a brilliant book
By Ghassan Ayesh
The book is well organized, smooth in its presentation, clear in its language and presents the topics in a good growing natural maturing sequence. I was initially intimidated by the subject and worried that the math might be dry and/or hard to digest. To the contrary, the book proceeds in a natural manner from simple to mature (not hard) covering from linear programming to dynamic models to stochastic probabilistic models in a very clear compelling and convincing manner all the way explaining why and how the need for the new model emerged. Surprisingly it is not a a long read too as it is a mere 350 pages, but the book is a rich clear reading experience I would say. I couldn't be more satisfied than this, with a book on this subject.
The other notable thing about the book which shines out immediately considering the concise number of pages (~350 pages) is that the author focuses on the meat of the subject right from the very beginning, straight to the point with real life examples, no wasting of your time, just the real subject matter. No proofs or side tracking; just as the books title says: mathematical modeling.
For me coming form artificial intelligence background with data mining, I needed to learn the topic as soon as possible for work related needs. The book served me the most. Truly brilliant. Thanks.
4 of 5 people found the following review helpful.
Great book for beginners
By Hari K Rajagopalan
This a good book for beginners who want to start Math Models. This book, starts with actual problem with numbers and so is not abstract. It helps my students understand the concepts better
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