Rating: 
Summary: Not thorough.
Review: The manual only covers about every fifth problem in each section, and not very well at that! Better off trying to learn it from the book or from the professor.
Rating: 
Summary: Excellent reference text
Review: This book was quite a revelation to me. Previously I had used books by Indian authors only. I do not deny that they were good, but this author's way of presenting the material was quite superb. The text was comprehensive, replete with problems of all sorts, which when worked out will ensure a complete grasp of the the most intriguing and intricate aspects of engineering mathematics. I loved this book, and am still using it.
Rating: 
Summary: Not enough problems
Review: It explains the conceps very well, but there aren't enough problems in the book - which is a good thing for a student, but if you're serious about this subject you should look elsewhere for practice problems.
Rating:
Summary: Absolutely marvelous !
Review: I completely agree with my fellow reveiwer (below). The title of the book clearly tells you that it is an applied (engg) mathematics book and not an pure mathematics book. Atleast I havent encountered any other applied maths book of this level!! The field is vast ... and an applied maths course has to cover it all in 3-4 semester course. This book is not for a pure maths student who can afford to spend 3-4 years full time on maths only. This is the biggest plus point with this book ..... in this book Kreyszig has been able to achieve what he aims to. He has written excellent book .. contaning appreciably good theory and excellent problems. Moreover the problems are chosen from various applied fields starting from elasticity to electrostatics. I agree that at places this book lacks theoretical depth ... the best example being the linear algebra. But then this is not the aim of the book !! In my view this is the best book for a short 3-4 semester course on applied maths. For more details you always have many other books speclizing in any one topic. Best of luck Mukul
Rating:
Summary: This book really seeks a lot
Review: Well, let us be clear. This book is really good, in the sense that is easy to continue, it is didactic and doesn't have complications of any class. This way the book deserves five stars. Any person with an enough background (preliminary courses of calculus) it can continue their studies for engineering in this book. But this book really seeks a lot. It contemplates topics that difficultly can be summarized in a single volume. In total the book contains: Ordinary Differential Equations and Partial Differential Equations (a really very short, very very short chapter), Lineal Algebra as an introduction to the Vectorial Analysis; Analysis of Fourier, Complex Variable and Probability and Statistic. If we are honest with ourselves, a book that seeks so much, or it is too advanced to treat these topics in deep and very concise form (that Kreyszig doesn't make it in this book) or, it only treats lightly the topics, that which is really the case of this book. Apart from that, it seeks to embrace the Numeric Analysis and the lineal Programming: too much for a single volume, or two! For that reason I give to this book two stars, but for the single fact of seeking too much. As for the form of presenting the topics, the other comments already helped you. Comparing this with the book of C. Ray Wylie, I choose this last one definitively, respecting the works of Kreiszig a lot.
Rating:
Summary: Indispensible
Review: This book, along with the "Mathematical Handbook" by M.Vygodsky (translated from Russian -- appears to be unavailable in the US) have been my staple reference books for much of the math that I learned during my undergrad education.
Rating:
Summary: The Best out there
Review: I read this book around 9 years back when I was doing my Bachelors in Electrical Engineering. It took me about 2.5 years to read it cover to cover. I used to wonder how brilliant Kreyszig is. You will find examples from all fields of Engineering inside. This book is all about concepts ( Dont bother if you have an assignment for tomorrow ). Dont get scared about "Advanced". Because it s very licid.
Rating:
Summary: Look before you buy
Review: If you want something to check your work against the student solution maunual isn't it. Look it over before you spend $37 on it. It does contain a FEW answers for each chapter and hints for each section in the chapter. Encourage the college library to attain a few copies if they use the main text but save your own money.
Rating: 
Summary: another negative
Review: To be fair, I've only gone through chapters 6-13. This book is probably an excellent review book for someone already well versed in mathmatics but as a text for undergrad classes it misses the mark. The author assumes a level of proficiency higher than the intended audience has generally attained. The book covers a lot of material and the explainations are are full of the jargon usually found in math texts. If in previous classes you only touched on a subject or perhaps completely bypassed it then this book will leave you unenlightened as the examples are sparse and are full of intuitive jumps that undergrad will most likely find difficult to follow. On the material better covered in previous classes refering back to those texts will be beneficial since they will probably go more into depth on the explainations and examples.
Rating:
Summary: How to use Kreyszig's text in an Engineering couse
Review: I will neglect the comments from Gabriel (April 15, 2000) regarding Kreyszig's math. text. To be brief, those comments - particularly the one suggesting instructors not to use this useful text - are a dis-service to the community at large. All I must say to such comments is: Amen ! I have found that Kreysizg's text is most useful when used in concurrence with engineering courses that are being currently taken by a student. For example if a student in the EE dept. is taking courses in Electromagnetics, Signals and Systems for example, then a course from Kreysizg's text based on chapters/topic areas dealing with vector calculus, partial diffeential equations, some complex algebra (and/or functions), Fourier series and transforms, and linear algebra would be in a better position to appreciate the book. The reason is, in my experienc, the student can directly relate the applications of these topics in engineering courses such as EM theory and Signal Processing. Thus, integrating an applied math. course based on Kreysizg would need properly coordinating the engineering courses such that the topics taught from Kreysizg can be seen of immediate value by the students in their other engineering courses. This shall motivate the students to take interest in the course. I would encourage professors to buy this book and use it in conjunction with engineering courses.
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