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Rating: 
Summary: The one
Review: All material which has been covered in this book has been covered somewhere else or the other. But there is no material covered elsewhere which has not been covered in this book. Very comprehensive and goes deep into all topics. Specially recommended for someone having interest in the subject. Gives a phisical understanding of the subject, not just equations and integrations, etc. A must for a Graduate student.
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Summary: THE BEST math book I have ever read
Review: Amoung the dozons of math books out there that are pure (garbage), written by math professors for math professors, this is one of those rare shining gems that comes along every once in a decade, that was written with a student in mind. It is clear, concise, and easy to follow. It flows increadibly well, and in an organized manner. You can tell that this book was planned out, and not just written by some professor in a few weeks just to meet his writting obligations. Also this book covers EVERYTHING, and I do mean everything. It is a pure pleasure to read. If you have trouble understanding math, because your using a (poor) book written by a (...) professor, then BUY this book. Its a little pricey, but trust me it is worth every cent. The price of the book is much less then the price to repeat a math course. Thanks a million Greenberg.
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Summary: The most clear and organized mathbook I've used at college.
Review: Great precision. Great organization and problems. No color though. Great examples. The best Differential Equations and Linear Algebra book out there for college kids like me. I enjoyed it more than any other math book i've read. I'm a practical, truth-telling Mechanical Engineer and I'm not exaggerating. If you can afford it, buy it.
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Summary: The best book in engineering mathematics
Review: I took two graduate math courses with Dr. Greenberg and I used this book often. However the book was not required as a course textbook , though I know people who bought it just because they considered it a must-have.
The book spans a wide range of math topics from ODE, Linear Algebra , Scalar and Vector Field to PDE and Complex Variable. Of course you could always find a more topic-focused book if that's what you're looking for. All the chapters in the book contain representative worked examples chosen from various areas of mechanical engineering. Everything is very well explained in such way that the learning process is optimized and reader time is not wasted.
If you are in the field of mechanical engineering you'll probably find this book extremely useful.
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Summary: The One and the ONLY One.
Review: I want to mention some, and just some, of the perfect features of this great text and to thank its author, Professor Greenberg.-Beginning each chapter with an appealing motivation in such a way that however difficult the subject of that chapter may seem to be, you won't stop going through it.
-Excellant mnemonics serving as a true reminder for the reader without changing the text from a technical reference to a preparation-for-examination one. -Marvelous heuristic discussions and presentations appearing when they are in order and leaving rigorous proofs for the times that they can be realy helpful in understanding the subject and hence keeping the text as useful as possible not only for engineering students but also, at least in my opinion, for those mathematics students who are looking for the applications of what they have studied. -True closures, not just summarizing the finished section by 'boxing' the equations derived in it and restating the theorems, but saying things in, in fact, 'other words'
in a compact form thus organizing the section in the reader's mind and omitting the, however small, possibility of parts just read being confused or misjudged. -Interesting and appealing exercises taking you to go through them not for just practicing the theorems but for seeing 'what at last would come out in this exercise.'
And all these, honestly, where to name a few. A last word of mine: With this book present almost all others should think of a revision or ...
Rating:
Summary: Cover the gap between undergraduate and graduate school
Review: If your undergraduate major isn't math or applied math, then this book will fill the gap before you go into graduate school in Engineering or Science.
As I majored in CS in undergraduate school thus concentrated in discrete mathematics, I found my math not good enough to deal with graduate courses in machine learning or numerical methods, which have lots in vector calculus and approximation methods. This book in deed made a good bridge.
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Summary: The best advanced math book from an Engineering perspective
Review: This book is the best to appear in the field of Advanced Engineering Math. True to its title, the book is miles ahead of Kreyzig, Wylie et al. in its presentation of fundamental concepts from an Engineering viewpoint. Reading it one enjoys the beauty and the link between linear algebra, vector algebra, matrix algebra and (system of) partial differntial equations. Transforms (Fourier, Laplace)have also been lucidly explained. Frankly, I have fallen in love with it. Dr Greenberg...Thank you for providing us with a classic. Other titles for the applied Engineer's shelf: 1. PDEs for Scientists and Engineers - Farlow 2. Advanced Calculus for Applications - Hildebrand 3. Partial Differential Equations - L.E.Evans 4. Elements of PDEs - Sneddon 5. ODEs - Boyce and DiPrima (look at Strum-Liouville explanation - its great!)
Rating:
Summary: Excellent for the math undergrad
Review: We used this text in an introductory math for engineers course that I took for fun (I can see the smirk on your face already :) Anyway, the book integrates different parts of applied mathematics very well, particularly drilling into your head the wonderful properties of linearity, and how linear algebra in general makes life much simpler. The only (minor) drawback to this book I would say is it's "lack of color", i.e., this is not a book you buy for the pictures. The diagrams are black and white, and very simple. Kreyszig's book is much more visually appealing, but does not have the mathematical depth that Greenberg can get across. If you are more of a visual learner (as I actually am), you may prefer Kreyszig, as he puts important results/theorems in colored boxes, and his style is more casual than Greenberg. It is not hard to see why mathematicians (including several professors I know) prefer Greenberg, as his presentation is more crisp, and it definitely flows. Some of the material requires deep thought, but is well worth the effort. His material on PDEs (mostly 2nd order linear equations) is very engaging, and expertly written. You get a nice overview of the subject (a branch of mathematics highly applicable in today's world), but he doesn't get bogged down in unnecessary detail. My verdict is this: if you want a reference book to refer to from time to time, Kreyszig may be better. However, if you want a text to learn the material from, I would definitely go with Greenberg. If you have the money, get both titles, they complement each other well. But if you can only afford one, get Greenberg.
Rating:
Summary: Excellent for the math undergrad
Review: We used this text in an introductory math for engineers course that I took for fun (I can see the smirk on your face already :) Anyway, the book integrates different parts of applied mathematics very well, particularly drilling into your head the wonderful properties of linearity, and how linear algebra in general makes life much simpler. The only (minor) drawback to this book I would say is it's "lack of color", i.e., this is not a book you buy for the pictures. The diagrams are black and white, and very simple. Kreyszig's book is much more visually appealing, but does not have the mathematical depth that Greenberg can get across. If you are more of a visual learner (as I actually am), you may prefer Kreyszig, as he puts important results/theorems in colored boxes, and his style is more casual than Greenberg. It is not hard to see why mathematicians (including several professors I know) prefer Greenberg, as his presentation is more crisp, and it definitely flows. Some of the material requires deep thought, but is well worth the effort. His material on PDEs (mostly 2nd order linear equations) is very engaging, and expertly written. You get a nice overview of the subject (a branch of mathematics highly applicable in today's world), but he doesn't get bogged down in unnecessary detail. My verdict is this: if you want a reference book to refer to from time to time, Kreyszig may be better. However, if you want a text to learn the material from, I would definitely go with Greenberg. If you have the money, get both titles, they complement each other well. But if you can only afford one, get Greenberg.
Rating:
Summary: Professor said this one was "The Best"
Review: We used this text in the mathematics course I had to take as a graduate level mechanical engineering student (not at the University where the author teaches). If I wasn't crazy about the course itself (I was almost eaten alive), I did like the author of this text's "prose," that is, the way he described and expressed things, on at least one occasion even wishing that I would have an opportunity to keep reading on my own some of the chapters that were not covered in the course. The professor we had seemed exuberant about this text, pausing from time to time to say things like, "What the author has done here to explain such-and-such is just wonderful." He also commented to me personally, when I asked him about some of the other Adv. Engineering texts (which I also have), that this text is the "best," especially in the partial differential equations area.
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