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Applied Mathematics Hardcover – April 14, 2006

ISBN-13: 978-0471746621 ISBN-10: 0471746622 Edition: 3rd

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Product Details

  • Hardcover: 552 pages
  • Publisher: Wiley-Interscience; 3 edition (April 14, 2006)
  • Language: English
  • ISBN-10: 0471746622
  • ISBN-13: 978-0471746621
  • Product Dimensions: 6.4 x 1.4 x 9.6 inches
  • Shipping Weight: 1.8 pounds (View shipping rates and policies)
  • Average Customer Review: 4.2 out of 5 stars  See all reviews (6 customer reviews)
  • Amazon Best Sellers Rank: #469,373 in Books (See Top 100 in Books)

Editorial Reviews

Review

“…can be thoroughly recommended to all who want an up-to-date approach to their subject.” (Zentralblatt MATH, 2007)

"Future mathematicians, scientists and engineers should find the book to be an excellent introductory text for coursework or self-study as well as worth its shelf space for reference." (MAA Reviews, October 12, 2006)

From the Publisher

This updated edition of its popular predecessor strikes a balance between the mathematical aspects of the subject and its origin in empirics. It offers, at an elementary level, some of the current topics in applied mathematics such as singular perturbation, nonlinear waves, bifurcation, and the numerical solution of partial differential equations. Features additional sections on the WKB Approximation and asymptotic expansion of integrals along with expanded chapters on Green's Functions and integral equations. Includes Maple programs and examples from biology, chemistry, physics, and engineering. --This text refers to an out of print or unavailable edition of this title.

Customer Reviews

4.2 out of 5 stars
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Most Helpful Customer Reviews

30 of 31 people found the following review helpful By Alexander C. Zorach on October 14, 2006
Format: Hardcover
This book stands out among applied mathematics books. I like it very much, although it is certainly not easy to read. The equations and mathematics in the book are not particularly intimidating; the book is challenging because it gets you to think about difficult concepts at a sort of "meta" level. One of the best things about this book is that it is really an "applied mathematics" book in the sense that it prepares the reader to use the mathematics in applications.

The book assumes a lot of background, and starts from the rather odd point of dimensional analysis. I like this, because I feel dimensional analysis is an immensely powerful and often under-appreciated tool. The rest of the book covers various methods in partial differential equations, the calculus of variations, perturbation theory, and a lot of other material that I haven't even looked at. Most of the later material in the book assumes background which is not reviewed at all in the text, so this book requires prior coursework and is not self-contained. The result is a hodge-podge that most students will find has an inconsistent difficulty level, but I don't have a problem with this given the book's strengths. Also, the book is arranged so that it's easy to skip around in--and it makes a good reference text.

My main complaint about this book is its name: this book takes a somewhat narrow view of what constitutes "Applied Mathematics", and I think there is more than a little arrogance in the choice of title. When I think of "Applied Mathematics", I include areas such as statistics and combinatorics, which are not touched in this book.
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7 of 10 people found the following review helpful By Mark Twain on December 9, 2008
Format: Hardcover
This book was used as the text for an applied mathematics course. It was not very detailed in any of the explanations and the exercises sent me scrambling for other texts as references. It seems like the author wanted you to get lost in the minutiae of elementary calculus and algebra rather than understand the general concepts. Most of the sections felt like the exercises were just that, exercises and not really applicable to what I thought would be "Applied" Mathematics.
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Format: Hardcover Verified Purchase
This book has lasting value far beyond the "latest edition" craze of many publishers. The fourth is eagerly expected Summer/Fall of 2013. Peek copies we've seen show algorithmic updates and slightly better pedagogy (ie: more worked problems instead of this 3rd edition's fully worked example or two, then answers for the rest you've got to work out yourself).

This series in unique in the history of math books. I read and review hundreds of texts for our library procurement folks, including college libraries, and I've never found another book that balances deep math as tools with deep math as practical insights the way Logan does.

An example. Eigenvalues as "tools" can be seen as efficient ways to generalize induction, change problematic equations into easier to solve matrix forms (linearization), make a system orthogonal, set to 0 or 1 to simplify an equation set, treat as perpendicular vectors, etc. These are all "tools" of both applied and pure math. However, Logan goes beyond both applications and pure math to a "gist" level so you "grok" the meaning at a RARE intuitive level-- He shows, for example, where "this" eigenvalue is a stability indicator in this context, "that" eigenvalue is a growth rate in that context, this other eigenvalue here is a sensitivity to change parameter...

IOW, the craving for wonder you've always had for the WHY or GIST of BOTH applications and pure math are given here like you've never seen it anywhere before. Another example: Some reviews around the web dinged Logan for starting with dimensions, indices and scales (unlike any other general applied text let alone specifically applied texts in physics or engineering).
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