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Modelling with Differential and Difference Equations (Australian Mathematical Society Lecture Series) Paperback – June 28, 1997

ISBN-13: 978-0521446181 ISBN-10: 052144618X Edition: 1st Paperback Edition

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Product Details

  • Series: Australian Mathematical Society Lecture Series (Book 10)
  • Paperback: 416 pages
  • Publisher: Cambridge University Press; 1st Paperback Edition edition (June 28, 1997)
  • Language: English
  • ISBN-10: 052144618X
  • ISBN-13: 978-0521446181
  • Product Dimensions: 6 x 0.9 x 9 inches
  • Shipping Weight: 1.4 pounds (View shipping rates and policies)
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (1 customer review)
  • Amazon Best Sellers Rank: #2,642,949 in Books (See Top 100 in Books)

Editorial Reviews

Review

"...highly recommended...a demanding text; the exercises are excellent and challenging, and some are at the level of research problems. Applied mathematicians, engineers, and scientists will appreciate this book." G.J.F. Junevicus, Choice

"If you are looking for a textbook for an introdutory course on mathematical modeling, with an emphasis on differential and difference equations and basic calculus as the only prerequisite, then give this book serious consideration. It is very well written and very well structured.... overall presentation of material is excellent.... an excellent reference for anyone who has an interest in mathematical modeling....The foundation that this text helps to build will easily allow the reader to move on to more advanced texts on mathematical modeling." The UMAP Journal

Book Description

The theme of this book is modeling the real world using mathematics. The authors concentrate on the techniques used to set up mathematical models and describe many systems in full detail, covering both differential and difference equations in depth.

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1 of 1 people found the following review helpful By Alexander T. Gafford on June 24, 2013
Format: Paperback
Written as a first course in the application of differential and difference equations in the modelling of phyisical systems, this book could not be more satisfactory to someone starting on the course of applied mathematics. Physical situations are described with great clarity and the formulation of the modeling equations is outlined in a systematic, complete, and, again, clear way. The text moves progressively from basic models in mechanics which can be modeled with the simplest approaches to antidifferentiation and some linear algebra, to difference equations and their manipulation and then to more complete treatmetn of ODEs in physics and mechanics, and finally to coupled systems of ODEs and their analysis using phase-plane methods.

All this is explained in such a systematic, step-by-step, way that the entire subject seems to have coherent logical structure. I am sad to say that was not the case 45 years ago when I took Differential Equations from a mathematics professor who simply treated it as a bag of tricks to play the game of solving equations. I would in fact be a better engineer now if I had been taught out of this text, which is why I so highly recommend it. It is also suitable for self study as the problems build logically on the very clearly (that word again) worked out examples.

If you know a student beginning engineering study, do buy them this book. If you are past all that, buy it anyway since the examples used are really kind of fun - at least for engineers and the like. One other point to mention is the near complete absence of annoying typographical errors that can be aggravating when encountered. In other words, this is well edited as well as well written.
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