Most Helpful Customer Reviews
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37 of 37 people found the following review helpful:
4.0 out of 5 stars
Good Collection of Solved Problems, March 7, 2004
By A Customer
If you want a good basic collection of problems and your math book does not have solutions, this is a good place for you to start. I wish more US textbooks published the worked solutions to all of their problems. While academic types tend to disagree with this approach saying that it diminishes the student's ability to reason, I must take exception to this. Using good worked examples allows a math "consumer" (such as an undergraduate engineer) a way to build his/her confidence. Those of us working in industry do not need proofs or generic problems picked for the benefit of the teacher (with "easy" numbers or solutions that fit easily into a template). Proofs are for applied mathematicians and those working in the more theoretical areas of engineering (or doing PHD work). We need good tools and mathematics (when intelligently applied) can help us. This book tends to demystify some of the more arcane subjects for the reader.
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16 of 16 people found the following review helpful:
5.0 out of 5 stars
Great for reviewing math relevant to graduate engineering studies, May 31, 2006
This book is the sequel to Stroud's excellent "Engineering Mathematics", which focused on the undergraduate engineer and the math that he/she should know by graduation. This book continues on with crystal-clear discussions of numerical methods, linear algebra including the singular value decomposition and its uses, linear programming methods, multiple integration, and partial differential equations, to name a few of the topics covered. Just because the mathematics is more advanced in this book does not mean that it is any less clear than its less advanced predecessor. Stroud continues his tradition of holding your hand and leading you through every question you might have about working various types of math problems. I particularly liked his coverage of partial differential equations and numerical linear algebra topics. That is because it is hard to find advanced math books on these topics that are not written by pure mathematicians. Thus most of those books have a tendency to go overboard on proofs and not focus on the practical matters engineers must know in order to solve problems. The only negative thing I can say about the book is that it references Stroud's other book on engineering math, "Engineering Mathematics", during some of the explanations, possibly putting you at a disadvantage if you don't have it handy. I highly recommend this book as a reference every engineer should own.
NOTE: For some strange reason this review of "Advanced Engineering Mathematics" is appearing under that book and also "Vector Analysis" by the same authors. This is NOT a review of "Vector Analysis", just to clear up any confusion!
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12 of 14 people found the following review helpful:
4.0 out of 5 stars
Great for Self-Study of Applied Engineering Mathematics, July 3, 2006
I'll begin with the one problem I've found in this book (the only reason it doesn't get five stars): in the working of some of the example problems, the author leaves out numerous steps, does some odd algebraic manipulation, and some of the example answers are flat-out wrong (there are a couple in the section on Fourier Transforms). Now to all the great aspects...this book covers an extremely wide array of topics, assuming only an elementary knowledge of calculus and differential equations, addressing (in detail) many techniques frequently utilized by engineers with almost no rigor (great if you're an engineering student wanting to learn applied mathematics, not so good for pure mathematics students). The topics include numerical methods for solving algebraic equations, the Laplace Transform, the Z-Transform, Fourier Series and the Fourier Transform, power series solutions of ODE's, numerical methods for ODE's and PDE's, partial differentiation, analytic solution of PDE's, integral functions, matrix algebra, multiple integration, vector calculus, complex analysis, and linear optimization. The author's pedagogical approach is perfectly-suited to self-instruction, and I have been able to work through the book and most of its problems (for which all answers are provided) relatively quickly. My only problem with the content of the book (other than the aforementioned occassional errors) is in the coverage of multiple integration, where a large amount of work is devoted to line and surface integrals of scalar fields (including determining whether the line integral of a differential in x, y, and z is conservative without any discussion of curl). I just personally think this is the wrong approach for line and surface integrals, which are easiest to understand (IMHO) in the context of vector fields and vector calculus. Overall, I feel this is an excellent book for engineering students, and could even serve as a good starting point for mathematics students as an intro to the methods of harmonic analysis, PDE's, and complex analysis, before jumping into the theory of these fields. I whole-heartedly recommend this book.
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