I have owned a copy of the 2nd edition of Kreyszig's book for nearly 30 years, and although I left engineering nearly that long ago, it is a continuing source of recreation. Kreyszig does not make things easy, he expects the reader to work hard, and tackling the exercises is essential for proper understanding. The development of each chapter is severely logical, with perhaps a bit more rigour than suits the strictly practical taste. This excellent book is wonderfully complete and repays the work it requires.
This is an excellent text which happened to be the text for a DiffEQ course I took as an undergrad. It just so happens that this could have been the text for just about ANY of the math courses I took. Any time I have a question, or want to learn a new method, this text will usually have helpful information. I recommend it highly.
Having worked thru' the Kreyszig book as an ugrad in EE, back in the late 70s in India, and then reading the various editions of the same book by Prof. Kreyszig, I am appalled at the mindless apathy for the book as shown in the Amazon website by some readers. For a lack of a better word, I believe that most of these readers have a very warped up sense of applied mathematics - that is mathematics as it applies to solution of engineering problems. Kreyszig's book is a goldmine of information, and its latest edition contains a whole slew of carefully chosen problems that are worked out plus homework exercises to aid the student in mastering the necessary analytical techniques essential to solving problems. I have observed that of late in USA there is a lot of acerbic hostility towards mathematics. Most of the readers (including the teacher and the taught) express their displeasure if they cannot " sell " mathematics like some commodities in a grocery store. The students on the other hand, being too pampered by the existing escapism in a society are reluctant to accept the rigors of any mathematical training and hence are most unhappy if a math. text demands some discipline in terms of focussed concentration and thinking. It is excepected and unfortunate that such critics shall continue to judge such well-written and comprehensive texts on applied mathematics (such as Kreyszig) most boring and their displeasure is a substitute for more cogent and incisive analytical review.
This is a must have book for engineering students. It presents practically all you need to know for an undergrad degree and extends way beyond that as well. It is very clear and rigourous and is backed up by lots of appropriate examples. It doesn't cover basics however - reach for an a-level book for that!
This excellent text provides both reference material and in depth tuition, covering a wide range of areas of mathematics. Each chapter guides the reader through the subject matter, with worked examples and exercises (answers to odd numbered questions are in the back.) Many examples and problems demonstrate the practical applications for the mathematics studied, in the areas of engineering, electronics and physics. This comprehensive text is ideally suited for those seeking an all round post-A-level / undergraduate /postgraduate text. An absolute must for all serious scientists!
After buying K.A.Strouds book covering a similar set of topic I was very happy that I brought this after and sold on my copy of Stroud! This book has a much better (i guess traditional) math textbook layout with useful examples. Writing is small and the book is large which means you get a nice wad of information between the front and back cover!
It does depend on what course you are taking as to which is the most relevant, but from what I have seen either this of the Glyn James book is more useful than Stroud.
This book is written in as easy to understand a language as any math book I've used thus far (and I've used many) It has great emphisis on mathematical modeling. Still, know full well, before spending a lot of money, that this is not for anyone who hasn't already had a great deal of grounding in math or isn't planning to go well beyond any engineering requirements. Another book that will let you show off your mathematical skills, and I think is the greatest, is 'Transport Phenomenea' by Byron Bird.
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.
Having gone through 7 years of university (as an undergrad, MSc then now as grad student), I found this text book is one of the best in the market - in terms of introducing new concept in a heuristic fashion, and as a good reference book to refresh on "those problems you can solve with your eyes closed as an undergrad, but can't recall completely as a grad". Although some proofs are not as rigorous as one hoped, but as a refresher book for mathematical techniques for applications in physical eng/physics problems it is a goldmine! Useful for tutoring as well. Proud to say my own copy is dog-eared and well worn from use!
This book is readily accessible to the student who has a knowledge of elementary integral calculus... ODE, PDE, transforms, techniques of analysis, linear algebra, numerical methods, it's all in there. One-stop math shopping. And unless you're a railroad engineer, topics you'll be dealing with from now till retirement. It's clearly written with sufficient examples; it is my favorite engineering math text/reference.