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by Erwin Kreyszig

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Author: Erwin Kreyszig
ISBN: 047133328X
Language: English
Pages: 1296 pages
Category: Mathematics
Publisher: Wiley; 8th Edition edition (1999)
Rating: 4.2
Formats: azw doc lrf txt
FB2 size: 1899 kb | EPUB size: 1780 kb | DJVU size: 1250 kb
Sub: Math

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I was both surprised and delighted to settle on Kreyszig's book. What I like about Kreyszig's teaching style is that he doesn't (typically) leave anything out. He's very good at providing the motivation for things, so you have some idea of how you might arrive to the mathematical developments on your own.

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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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Modern engineering mathematics is mostly teamwork. It usually combines analytic work in the process of modeling and the use of computer algebra and numerics in the process of solution, followed by critical evaluation of results.

Advanced Engineering Mathematics book. A revision of the market leader, Kreyszig is known for its comprehensive coverage, careful and correct mathematics, outstanding exercises, helpful worked examples, and self-contained subject-matter parts for maximum teaching flexibility.

This book covers every topic for undergraduate engineering mathematics. It covers almost all the topics taught at an undergraduate level and it mainly focuses on calculus, Fourier analysis and graph problems. Though there are many topics which are covered efficiently with nice set of examples and problems. You can use basic principal of solving mathematics . modelling, solving, interpreting to solve the book. The book is divided into 8 sections and subsections. Lets check them below. Get other higher engineering mathematics book here.

This book introduces students of engineering, physics, mathematics, and computer science to those areas of mathematics which, from a modern point of view, are most important in connection with practical problems. The content and character of mathematics needed in applications are changing rapidly. Linear algebra-especially matrices-and numerical methods for computers are of increasing importance. Statistics and graph theory play more prominent roles. Real analysis (ordinary and partial differential equations) and complex analysis remain indispensable.
Comments (7)
Prorahun
When I was in school I disliked this book. Looking back, I realize I just had the wrong approach to it. Now that I've taken my studies into my own hands, I'm no longer bound by the textbook choice of my professors. Consequently, I've looked through a lot of different books (though certainly not all) to find one I liked the best. I was both surprised and delighted to settle on Kreyszig's book. What I like about Kreyszig's teaching style is that he doesn't (typically) leave anything out. He's very good at providing the motivation for things, so you have some idea of how you might arrive to the mathematical developments on your own. His writing style is moderately informal, which I enjoy for how it gives further insight into how the material can be understood. And he typically moves along at a pretty good pace—at least, one that I'm personally comfortable with. But if I try to understand everything on my first read through a section, I wind up confused and dazed. I have to be willing to leave some ideas unsettled and trust that he'll address them later—and as far as I've seen, that trust has not been in vain.

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!
Wenes
This review is for the paperback, international 10th edition of Advanced Engineering Mathematics by Erwin Kreyszig (ISBN 9788126554232). After review, this looks identical to the hardcover, US 10th edition, including problems. It's in black and white except for the blue outer cover, and in particular it's hard to see important equations that would stand out if this book were in color. A lot of it is pretty dense and difficult to follow at times, so if this is a required textbook for you for some engineering analysis class you have (which was the case for me, at least), I wish your professor will be as good at explaining the stuff as mine was.
Trash
The Good: Covers lots of ground, isn't focused just on one facet of math. It has reference info (trig, integrals, etc.) conveniently located on thicker-than-average paper inside the inner and outer covers. Therefore useful to the grad student needing to fill in gaps in their knowledge for advanced engineering studies, for quals, etc.

The Bad: As is usual with many math books, it's big, thick and heavy. And expensive. And despite their being on Tenth edition, I spot an editing error just about once per chapter (and also in the solutions to odd-numbered problems in back).
The Rollers of Vildar
Advanced Engineering Mathematics, 10Th Ed, Isv
This review is for the soft-cover, International edition of Advanced Engineering Mathematics.
For the most part this seems to be an okay textbook (I have not used it much yet). However, it has the distinct problem of missing the entire section on probability and statistics, a requirement for my class.
Despite this problem, I'm still giving the book three stars as it is so much less expensive than the hardcover edition, and the rest of the content is identical.

EDIT:
I have lowered my review to one star because, after completing the homework I found the problems are different from the regular US edition, despite the content of the chapter being the same. Also, some of the problems are the same so it is very difficult to check beforehand.
ALAN
I bought this book to review for doctoral qualifying exams, and I have to say the coverage is really extensive. Virtually every area of math useful to an engineer (or graduate student in engineering) will be in here. The book also includes problems and solutions, which is a huge boon to somebody studying for an exam like mine.

The explanations can be a bit brief but are adequate for review: you probably don't want to use this as a first textbook in differential equations / signal processing /etc... look elsewhere first and then use this for review.
FLIDER
This book tries to serve as an all-encompassing text for any bit of mathematics that could possibly relevant to engineering.

I am not sure if it could be considered successful in that regard.
Kirimath
I find this book to have a thorough treatment of a variety of differential equation solving methods necessary in engineering. It has many examples and problems and is laid out quite conveniently. I wish I had known about this book sooner.
I have this and an older edition of the book and they both explain concepts very well and in a logical order. It was recommended to me by a couple math professors.