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Summary: Survey Book of Engineering Mathematics
Review: This book is designed to be taught as part of a year long survey course covering those topics in Mathematics most often used by engineers. It is not, nor does claim to be, a definative text of all engineering mathematics. This book is generally used as part of a review course in first year graduate level engineering mathematics. It is expected that you have seen these topics before in a formal course. If you are looking for a book with a more in depth treatment of one or all of the subjects covered in this book, look for something published by Springer Verlag and expect to pay out a lot more money. If you are looking for a good introductory book then look for the Engineering Mathematics books by K.A. Stroud. They are elementary in there treatment and leave the proofs for the student to do. However, no formal knowledge of the subject is required and the reader is introduced to each subject in a simple easy to read format. Finally, A good overall book for upper level undergraduate and first year graduate students in any science discipline is Basic Training in Mathematics by Shankar.
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Summary: Comprehensive; Great organization; Graded exercises
Review: I used it during my undergraduate and graduate engineering studies and I still refer to it some times... Class-room instruction plus study-group discussions may be necessary for fully understanding the individual topics when the student encounters the concepts for the very first time. (But then, you only learn concepts once!) The selection of chapter-end exercises is simply great (and of relevance to engineering students), and they are very neatly graded, from v. easy to more difficult... One is supposed to solve these with paper and pencil to understand the text! ... Proofs may not be rigorous in a strictly mathematical sense, but then, I would probably leave a book with rigorous proofs on library shelves alone. In terms of comprehensiveness of coverage, and immediacy / relevance, no other single book fills the needs of engineers better than this one does... Certainly worth more than its price.
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Summary: a great book for slackers
Review: A great overview of the mathematics needed for electrical engineering (and probably other areas of engineering too). Reading this text has taught me enough to get by in all my introductory graduate level courses. More importantly, it covers enough that I can look up and understand something on any topic which isn't really covered in detail in this text (which is all of them). I wouldn't recommend this textbook for someone who has a strong background in engineering mathematics, as it only provides a basic overview of the topics covered.
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Summary: Great For Basics
Review: This book tries to do it all, which is impossible. It covers the basics of a wide, wide variety of engineering problems, including ordinary and partial differential equations, Fourier series, differnetial forms, graph theory, linear algebra, complex variables, probablilty and statistics, vector calculus, numerical and computer methods and so on, and is undoubtedly the best book if you want a wide overview of the problems with less attention paid to theory and much attention paid to problem-solving techniques, but there is so much to cover, that there is not really any roomm left for really advanced topics. Tensors are not even mentioned as are topics in variational calculus, and the discrete math and numerical methods chapters are barely touched upon at all in much depth. So if you want a sophmore-junior level enginerring text, this makes for a great textbook and general reference book, but should not really be considered an "advanced" text. Great for up and coming engineers, but is not enough by itself.
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Summary: Terrible Book
Review: Kreyszig obviously knows what he is talking about, but lacks showing it. It is hard to beleive that Mathematics book so thick has examples that miss complex steps, simply because these steps are deemed 'elementry' by Kreyszig's mathematic standards. The examples are workable, but they only take a few hours of analysing and calculating the multiple lines of mathematics he Kreyszig didn't feel like entering
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Summary: the key is to use it as a reference text
Review: I am currently using this massive book as it is the required text for my Engineering Math I course (MS Mech Eng). I heartily agree with others who claim to find this book is not thorough enough in the subjects it covers. BUT, out of curiosity I have delved into the book and studied the chapters covering material I am familiar with I saw in previous courses (Diff Equations, 4 Calculus courses, Control Systems, Linear Systems, Numerical Methods) and I have to say... it is an ALL encompassing book, and the tremendous amount of material in it has is a credit to itself. Do not criticize this book because you failed in understanding a subject when using it, I myself am currenly a victim of this situation. Go find a book which treats only the topic (Laplace, Fourier, Linear Algebra, etc.) you're covering now, study it, and return it. Keep Kreyszig's as a handy reference. Mathematics is an extensive science, this "handbook" for us beginners is one of the best there is. Question: Did any of you Mechanical Engineers use MARKS' Handbook for your Fluid Mechanics course, or Shigley's Machine Design Handbook for learning how to design gears?
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Summary: Very Helpful
Review: I've had for some time the 6th Ed. of this text, and I never liked it, due in part to the tiny print. Recently in a graduate engineering course I had to repair a deficiency I was unaware that I had in working with differential equations. I found this text enormously helpful. The author's examples were right "on the money." The manner in which he had everything well organized for reference was also helpful. One of the critiques I saw here seemed to fault the book for inadequate examples (i.e., "solutions"). I notice that the publisher now has a "Student Solutions Manual for Advanced Engineering Mathematics" which at least one reader claims is very good. If it is good, it is a credit to the author for trying to go a step further to answer this kind of need. In principle, I think readers are correct who criticize texts that are unhelpful in this way -- which, for example, have numerous, difficult problems for the reader to work on, and by comparison have a negligible number of explanatory examples for the reader to learn from in order to be able to solve the problems. The text winds up representing to the reader knowledge that he never acquired nor ever could acquire using the text itself, when it should be the other way around. However, I feel from personal experience that this text deserves to have much more good said about it than bad in this area.
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Summary: Excellent
Review: I'm Civilian Engineering and I should admit I love this book. My thesis advisor owns one and I've used it several times. This is not a book for Mathematics, it's for engineers; you'll find whatever you're looking for, but don't expect a whole theory about topics, just the essentials of them. You can find topics from Calculus, Linear Algebra, Probability and so on. I recomend this book to engineers as a consult book, you'll find quick answer to your problems. For students is a must-have which will help you really a lot.
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Summary: Generally decent, never excellent
Review: I recognize that this is the "bible" for engineering math, but I never found it stellar for any single topic. Its treatment of simple topics such as first and second order ODEs and linear algebra was certainly satisfactory, but when more advanced topics are presented there is simply too little coverage. I found it particularly weak in the coverage of PDEs and series solutions of differential equations. In general a simple presentation of the material is made, and a simple example is given, but you never understand the guts of the process, so when a slightly more complex problem arises you don't know quite how to proceed. The simple example will work out magically that X and Y converge instantly, but then you try to work a problem where X or Y are different and you were never given enough information as to determine which one is the driving part of the process. Tolerable text, and I understand why its used given its broad scope, but I second the "jack of all trades, master of none" review. You're better off buying three texts that actually present the material well than one that does it poorly.
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Summary: Worthless
Review: This is one of the worst books I have ever seen on engineering mathematics. I tried to refer to it numerous times during my M.E. Masters program and found it worthless every time. There HAS to be better books on engineering mathematics - HAS to be.
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