Rating: 
Summary: A great learning
Review: Although it is not a basic calculus book, it teaches you how to apply calculus in engineering everyday problems. This is one of the few books that really worry about math applications. How likes difficult problems should not take it, because its focus is in the application of math and does not propose or solve complex problems.
Rating: 
Summary: Wonderful
Review: I used Kreyszig's "Advanced Engineering Mathematics" and Thomas and Finney's "Calculus and Analytic Geometry" to cover most of the first year mathematics requirement of a physics undergrad. Both were fascinating and opened my eyes to how enjoyable and satisfying the study of mathematics can be. Both books and particularly Kreyszig's, require a strong background in high school Mathematics (a background which, I suspect from reading the American reader comments, is not provided by the American High School system). If a student is not adequately prepared, then of course they will struggle with this text. However, to blame Kreyszig's book is not the problem, but rather the system that left its students ill prepared to study it.
Rating: 
Summary: Should be titled 'Basic Engineering Mathematics'
Review: This book definitely does not live up to its fancy pants name. Do not delude yourself (as the previous reviewer has) into thinking anything in Kreyszig's text is advanced. Now, with that said, I don't have a problem with the text itself; I simply object to the way it is used in undergraduate engineering education. Often it is used as the primary text for a series of courses in differential eq., linear algebra, vector calculus, complex analysis, etc. There are many other texts that treat these topics in greater detail, with more emphasis on theory. While it is true that this book makes a handy little reference, it certainly is not pedagogically sound as a primary text. Professors need to stop choosing this text for their courses.
Rating:
Summary: PRACTICAL, STEP BY STEP AND SIMPLE UNDERSTANDING
Review: This book have introduced me in a step by step understanding of advanced topics in maths. The guide for solving problems and the analytical explanation for solutions, make of this book a perfect one for undergraduate level students with a solid base of math and knowledge on the basic of Fourier, diferential equations and complex functions.The book starts like a plane flying over a city and you can see everything and have a general idea on how it looks like. As it advance you can see and solve problems in detail on every topic. I really consider this book as a guide for problem solving and perfect for university students.
Rating:
Summary: Comprehensive study reference.
Review: According to it's name this book is meant for advanced students planning to have a ready reference for their Higher engineering maths requirement.This book was used as a text which wasn't appreciated by students due to lack of elaboration etc. Yet a person with sufficiently advanced grounding in maths will find this book immensely useful. Definitely not beneficial for first timers, it needs a lot of persistence to digup the wealth as expected by the author. The book as an advanced text doesn't disappoint and is an excellent reference with rare lucidity [for an advanced book]. Better to use other supplemental stuff to enhance your understanding of the material as some of the content is too succinct.
Rating:
Summary: The bare minimum
Review: Professors, do not choose this book for your introductory differential equations, linear algebra, vector calculus and complex analysis courses. There are other texts which treat these topics separately, in greater detail, with at least some emphasis on theory. Kreyszig's monster-sized text and others like it really rob students of a deeper understanding of the subject matter.
Rating:
Summary: Excellent for quick reference
Review: I think that this book is very well-written in terms of organization and quality of the sample problems selected. The topics covered in this book is very broad and representative of each area of applied mathematics. In most case you can just look up the relevant information you are seek after and apply it to actual problem solving.
Rating:
Summary: Excellent Text Book by Kreysizg Misunderstood
Review: This is in reference to some comments about Kreyszig's excellent text after my initial 5 stars applause on July 1999. I think that most readers in a studying mathematics have a very negative view of the mathematics textbooks. Applied (that is engineering) mathematics is a very wide/ broad area; it should ideally cover everything that is applied. Often an author (such as Kreyszig) has to strike a balance. (Thankfully, a reviewer has made such an observation, January 16, 2000). The negative reviews on this book are a dis-service and emphasize the negativism that is currently prevalent about applied/engineering mathematics in academia amongst engineering and other disciplines who require mathematical knowledge. The reviews DO NOT elaborate why such a book is bad and what the author should do to improve the quality of the book. Thus, the University of Pennsylvania review (Dec. 13, 1999 review) may criticize the text, but has not really pointed out, other than a comment about the need for a solution manual, what are the defects regarding the contents of the book or the choice of material etc. that are below any acceptable standard quality. Such reviews about a book that is "out there" for about 30 years are an expression, in my opinion, of unfortunate misunderstanding. I am just curious to know would the intelligent people of the twentyfirst century hold classic texts in applied mathematics by Courant and Hilbert, or Morse and Feshbach, as obscurantist garbage since they seemingly have no easy-to-read solutions manual ?
Rating:
Summary: Excellent reference, not a textbook.
Review: This book is an excellent reference for those who already know the ropes and just want to look up something. Those wanting to learn advanced math will be somewhat disappointed because it is not a textbook in that sense. After all, how can a book contain information on so many topics and still teach you in detail? I find it very useful when looking up information on how to solve differential equations, Bessel functions etc., I am not a mathematician and most of the time, the book delivers what I need.
Rating:
Summary: An excellent book!
Review: This book is EXTREMELY well organized! I really appreciate how the author introduces each math topic with its prerequisites. An overall outstanding math reference!
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