Advanced Engineering Mathematics (英語) ペーパーバック – 2005/12/29
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This market leading text is known for its comprehensive coverage, careful and correct mathematics, outstanding exercises and self contained subject matter parts for maximum flexibility.
Thoroughly updated and streamlined to reflect new developments in the field, the ninth edition of this bestselling text features modern engineering applications and the uses of technology. Kreyszig introduces engineers and computer scientists to advanced math topics as they relate to practical problems. The material is arranged into seven independent parts: ODE; Linear Algebra, Vector Calculus; Fourier Analysis and Partial Differential Equations; Complex Analysis; Numerical methods; Optimization, graphs; and Probability and Statistics.
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My earlier problem with the book was that I would get to a place where I didn't understand it, where I got lost, and I just stopped reading any further or spent a tremendous amount of energy trying to figure out what I couldn't understand. Well, that's not the way to read Kreyszig's book, and so I hope this review can save some people that trouble. You just have to allow him to develop the idea completely and not stop for questions until you get to the end of the section—then re-read or skim through the section's problems to see if that might help clear things up.
I also really like the exercises and problems he has in this book, which is rare for me because I hated doing problems when I was in school and felt like I was wasting my time. Kreyszig has a good way of asking you to consider why he might be asking you to do a problem, and to get you to see extensions and interconnections of ideas. So I never feel like I'm wasting my time with his problems; I feel that there are valuable gems to be found in them.
All in all, out of all (of the limited set) of textbooks that I've looked at, I think I trust and enjoy Kreyszig's the most for my personal education, because it seems just about everything is there if you're willing to consider all the material he presents. He's good at showing you where you came from and where you might be going with the material in the future, and develops ideas in an informal enough manner that it feels more like sitting in a professor's office for a genuine and candid discussion of the subject, rather than sitting in a boring and disjoint lecture. His book doesn't seem to suffer in the way that some textbooks do by making the reader think there's only one way to develop an idea. (As an aside, I sometimes prefer Apostol's Calculus for how he discusses and develops ideas honestly and candidly, but at the end of the day I keep going back to Kreyszig for my primary reading.)
I would encourage anyone who dislikes this book to take a step back and reconsider, as I have.
Regarding the Kindle edition,
I actually really like the Kindle edition of this book. Unlike a lot of Kindle books, it's presented in a textbook format where a page is a page—the text isn't free-floating and doesn't suffer from continually being rearranged spatially at the whims of a text engine. This helps me a lot in studying because I can maintain a spatial awareness of where some material is, much like an actual textbook. I've found this to be nearly invaluable for complex subjects. I have a regular sized iPad and it works nice for this, but I can imagine that it would be a little more difficult to read on an iPad mini or any tablet of similar size.
It's also a very beautifully done textbook, in my opinion.
I hope this helps!