Advanced Engineering Mathematics

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.

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). I liked the author of this text's "prose," that is, the way he described and expressed things, so much so that I looked forward to reading on my own some of the chapters that were not covered in the course. The professor we had was 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.

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.

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!)

This is one of those rare "readable" mathematics textbooks: all ideas and concepts become self-evident by just reading the text. It is NOT as comprehensive as, say Wylie and Barrett, or Kreyzig, but a lot more useful for learning/teaching. Most worked-out problems analyze physical situations rather than abstractions making life a great deal easier for a student as well as teacher. Super-good introduction to Fourier transforms, linear algebra, etc.