Covers all topics of vector calculus, including vector differentiation and integration, theorems of Green and Stokes, and the divergence theorem. Special topics in tensor notation, linear algebra,... This description may be from another edition of this product.
Advance mathematical concepts (such as the idea of a "basis vector," for instance) cannot be fully grasped without eventually working through a "sample vector space" in which one devises his own basis vectors for the vector space in question. Once the idea is made real, through examples, the reader can then move on with confidence to the next concept. This is of course the real value of the book, it helps build up confidence in "seeing how" both easy and more difficult problem are worked through. It gives example after example of actual problems for, not just "basis vectors," but also for a whole host of other difficult concepts in vector analysis and vector calculus. A prudent reader would do well to take out his pencil and work through the examples in the book and then try one of his own devising. That is what I did and now I feel fairly confident that I again really understand these concepts. One word of warning, the book assumes full understanding of all the concepts of vector analysis through linear algebra and vector calculus. For those like myself (who have not seen these concepts since grad school), it does not hurt to have a reference or two in each of these areas handy while working through the problems. I found the Marsden-Tromba book on vector calculus and the two-volume set by Jacobson on Linear Algebra to be quite sufficient to lean on for the needed theory prepping. The only criticism I have of the book is that the flow of difficulty of the problems is a bit uneven. In most sections the flow is from "too simple" to "much too difficult" with nothing in between, which is yet another reason to have the text books handy to lean on. Most text books pose "immediate level" problems as exercises at the end of each chapter which can be used to fill in the blank between the easy and difficult problems solved in this book. Altogether, it is an indispensable reference book. Four stars
Great book.
Published by Thriftbooks.com User , 16 years ago
If you have taken a calculus based physics course and need some help going over some of the mathematics this book and the other rea books are great. If you have taken physics than you understand there is a lot of different notation so this book will be any easy read you. The way this book should be used is as an aid, since you are assumed to know calculus and some linear algebra you can just look up the problem you are working on and check your work with similar problems in the book. You should not use this book to learn from there is no such book that you can do that with, there has never been a book that covers a whole subject especially without a typo ever. This book is 25 years old and was discontinued since most american dont do this type of mathematics so there was no need for revisions. If you are coming from a physics background then this has more than enough steps for all its problems, if you are from a poor mathematics background then you will have problems and give up on the book. If you do have problems with mathematics the other rea books cover the material you need for the book( ie:calculus, Linear algebra, pre-calculus, algebra) well so that you can come back and read this book with ease. Remember its a GUIDE and worth the price if you do physics and upper level mathematics. If you dont math/physics and you want a book that does everything then you can read the other reviews/complains.
ThriftBooks sells millions of used books at the lowest everyday prices. We personally assess every book's quality and offer rare, out-of-print treasures. We deliver the joy of reading in recyclable packaging with free standard shipping on US orders over $15. ThriftBooks.com. Read more. Spend less.