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Schaum's Outline of Vector Analysis | 
 enlarge | Author: Murray R. Spiegel
Publisher: McGraw-Hill
Category: Book
List Price: $18.95
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Rating:  15 reviews
Sales Rank: 64193
Media: Paperback
Edition: 1
Pages: 240
Number Of Items: 1
Shipping Weight (lbs): 0.9
Dimensions (in): 10.7 x 8 x 0.4
ISBN: 007060228X
Dewey Decimal Number: 515.63
UPC: 639785401025
EAN: 9780070602281
ASIN: 007060228X
Publication Date: June 1, 1968
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Product Description
This book introduces students to vector analysis, a concise way of presenting certain kinds of equations and a natural aid for forming mental pictures of physical and geometrical ideas. Students of the physical sciences and of physics, mechanics, electromagnetic theory, aerodynamics and a number of other fields will find this a rewarding and practical treatment of vector analysis. Key points are made memorable with the hundreds of problems with step-by-step solutions, and many review questions with answers.
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| Customer Reviews: Read 10 more reviews...
 Excellent Course Analysis With Physically Myopic Flaw January 6, 2008
A Reader (California USA)
2 out of 3 found this review helpful
Different schools of thought have different checks and balanaces. These checks and balances take the forms of rules and norms with their own judgements of right and wrong. Probably the human mind can only take so many rules and norms at any one time; each school of thought somehow subconsciously understands this.
Still, time and the wisdom that comes with it should make what I am saying obvious to all. And perhaps my point is indeed obvious to Prof. Spiegel. If so, he should note in his book somehow. Either in the discussion or in the problems.
My main point and problem with this presentation on Vector Analysis is that the definition of vector is graphically inadequate. Pictorally speaking, position, separation, and displacement vectors have features that many other vectors don't. Such vectors must be treated somewhat differently than velocity, acceleration, and force vectors. Now velocity and acceleration vectors may have different features and need to be treated differently, but my point has already been made in identifying the existence of unique features of location vectors.
Murray R. Spiegel has proven himself again and again in book after book as a great master of many topics as mathematical subjects. From Complex Variables to Vector Analysis.
Still, he makes no mention that mathematicians take great liberties when they define concepts. And vector as "a quantity with magnitude and direction" or, worse, as "a vertical column or horizontal row of numbers"
are exact examples of such liberties and their problematic consequences.
Bottom Line: Great presentation of the symbols and the symbolic logic of vectors. Conceptually, Graphically, and Physically, speaking the analysis (presentation) is quite weak and quite misleading.
Easy written, lot of examples November 21, 2007
Padreic
The book offers a good introduction to vector analysis for the undergraduate student. Quite simple, lot of practical examples. It is a good supplement to a more theoretical textbook. Also the price is fine.
 You won't be disappointed July 20, 2007
D. Harp (Greencastle, PA USA)
This book is worth a whole lot more than the paltry sum they're charging. You really can't go wrong with any mathematics or physics material authored by Murray Spiegel but this text is in a class by itself. Even though it's a Schaum's "Outline", you'll find that it's actually a first rate textbook. I'd say it's an outstanding learning tool given the fact that I found myself actually enjoying working through it!
Superb! Easy to Understand January 27, 2007
V. K. Lin (Eugene, OR United States)
Hooray! Spiegel does a wonderful job of summarizing Vector Analysis simply and to the point. His definitions and explanations are concise and down-to-earth. Keep in mind this is an outline, and the format remains that way. But this is an extremely effective resource for this subject-- well done, IMO.
The examples are often proofs, but are also a comprehensive overview of applications and standard problems. One criticism: sometimes, Spiegel introduces 'new' concepts (e.g. Jacobians) in the problems without defining them in the outline text. So you have to go through the sample problems (with answers!) to get all the stuff that's in the text. Also, if this is your first exposure to Vector Analysis, the problems are just problems, without a lot of background explanation. Much is self-explanatory, but once in a while, especially without previous Vector Analysis exposure, I can see where it would be a bit overwhelming to just jump into it. There isn't a lot of context for some of the non-proof problems. I've read/studied other books on the subject, so I'm not completely new to the field (but I am certainly no expert, either!)
The last chapter on Tensor Analysis covers a ton of material in one lengthy chapter. A separate source on this complex subject would be a better way of approaching this area. Still, the definitions remains quite straight-forward and to the point, and the sample problems provide a nice overview. Call it a good quick-reference.
A didactical masterpiece March 25, 2006
giancarlo bernacchi (Milan, Italy)
2 out of 2 found this review helpful
I bought this book many years ago and soon I felt it extraordinary. My idea has not changed along years. Clear, comprehensive, readable, even pleasant. You can really learn vector analysis step by step without a teacher. And you learn to use what you learn. All topics about vectors are explored, included differential operators and some differential geometry. It covers also tensor analysis (the last two chapter are on curvilinear coodinates and tensor). In my opinion there is a little more than a mere introduction to this subject. When I began to study tensors, I did't find a book that is completely satisfaying for a beginner. I turned out to my old Spiegel and the light was. Read first the last two chapters of Spiegel when you begin with tensors: you will understand basics concepts and you will avoid troubles. I feel to owe a debt of gratitude to this book and its Author. A true didactical masterpiece.
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