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 | | Advanced Engineering Mathematics (2nd Edition) by Michael Greenberg ISBN-10: 0133214311 ISBN-10: 0-13-321431-1 ISBN-13: 9780133214314 ISBN-13: 978-0-13-321431-4 Hardcover 1998-01-18 Prentice Hall Find Lowest Price |
Editorials | ||
Product Description This clear, pedagogically rich book develops a strong understanding of the mathematical principles and practices that today's engineers need to know. Equally as effective as either a textbook or reference manual, it approaches mathematical concepts from an engineering perspective, making physical applications more vivid and substantial. Its comprehensive instructional framework supports a conversational, down-to-earth narrative style, offering easy accessibility and frequent opportunities for application and reinforcement. | ||
Reviews | ||
Loose pages. While the content is in accordance with my (high) expectations, I have a serious complaint about the binding of the book. The pages are simply falling out!! After using the book a couple of month I am sitting with lots of loose sheets trying to keep them in order somehow. I know its not your fault and I have no demands, no claims, I just needed to spit it out. Still yours faithfully Karin Meyer | ||
Still the ONE and the ONLY ONE Two years ago, when I was a sophomore student of Mechanical Engineering, I borrowed several books from our university's library to study for my Engineering Mathematics course; none satisfied me but this. Apart from its role in my getting the only A+ in Engineering Mathematics in our department, this book motivated me to integrate math with my engineering studies. Now that I'm entering graduate school, and am reviewing the concepts I've learned in mathematics, I just couldn't do so without thanking Prof. Greenberg for providing the world with such a wonderful reference. What follows summarizes a few of many features I love about this book, -Motivating Introductions, blended explicitly or implicitly with every upcoming section that pulls readers through the rest of the material, however daunting the subject might at first appear to be. -Marvelous heuristic discussions and representations appearing when they are in order and reserving rigorous proofs for the times that they can be really helpful in understanding the subject and, hence, keeping the text as useful as possible not only for engineering students but also for those mathematics students who are looking for the applications of what they have been studying. -Excellent mnemonics serving as a true reminder for the reader without changing the text from a reference text to a mere preparation-for-multiple-choice-test book. -Electrical and Mechanical Engineering analogies serving to enhance modeling abilities and concreting the understanding of the subject matter relevant to either field. -Diverse examples involving such fields as Fluid Mechanics, Dynamics, Vibrations, Circuit Analysis, Chemical Engineering and so on. -Utilization of such important concepts as eigenvalues/vectors, linear independence, and matrix algebra, throughout the text - not just presenting them in their related chapters and leaving them afterwards. -True closures, not just summarizing the finished part by "boxing" the equations derived and restating the theorems, but, instead, succinctly presenting the material in other words, from a somewhat different point of view, and thus etching the section in readers' mind and eliminating the possibility of the parts just learnt being confused or misjudged. -Carefully-designed exercises which not only thoroughly cover the material just taught but, being derived from different aspects of abstract math, applied math, and engineering, also give readers a hands-on experience with the subject under discussion; some so intriguing that you just can't go to another section/chapter before solving them, others address some of the items that were, deliberately, saved for the exercises - you actually learn new methods, theorems, etc in them. (For those who don't know Prof. Greenberg, let it suffice to say that he was an instructor at Cornell University in charge of courses in Dynamics, Differential Equations and Advanced Strength of Materials; he's with the University of Delaware now. There, he teaches: Numerical methods in ODE's and PDE's, Nonlinear Systems, Linear and Functional Analysis, Applications of Green's Functions, Perturbation Methods, among other courses. He's been the recipient of several "Excellence in Teaching" awards. So he, definitely, knows a thing or two about the subject, don't you think?!) | ||
The best book in engineering mathematics 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. | ||
The One and the ONLY One. 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. -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' -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.' | ||
Cover the gap between undergraduate and graduate school 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. | ||