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Rating: 
Summary: Good by itself
Review: Although this series of books is intended to supplement a class textbook, this one is pretty good in helping you learn vectors by itself. It explains all the terminology and gives you quick examples. For the problems here, there are some solved problems, which walk you through the process of finding the answer. The supplementary problems, to help you test your knowledge, have the answers there. This used to bother me because I wanted to see if I could get the answer. Here, the author is just trying to help you master the process. You can always cover up the answer. Topics in this volume include tensor analysis, curvilinear coordinates, vector integration and differentiation, integral theorems, and dot and cross product. All are helpful and easy to understand.
Rating:
Summary: Good by itself
Review: Although this series of books is intended to supplement a class textbook, this one is pretty good in helping you learn vectors by itself. It explains all the terminology and gives you quick examples. For the problems here, there are some solved problems, which walk you through the process of finding the answer. The supplementary problems, to help you test your knowledge, have the answers there. This used to bother me because I wanted to see if I could get the answer. Here, the author is just trying to help you master the process. You can always cover up the answer. Topics in this volume include tensor analysis, curvilinear coordinates, vector integration and differentiation, integral theorems, and dot and cross product. All are helpful and easy to understand.
Rating: 
Summary: Best book on Vector Analysis...
Review: Best book on Vector Analysis. No match for it. Must buy.
Rating:
Summary: Excellent Problem Set to Reinforce Standard Textbooks
Review: I have generally found the Schaum's Outline Series quite helpful as a supplement to standard math and physics textbooks. The Vector Analysis problem review set was particularly useful. Only rarely did I encounter a problem in which the solution was not clearly laid out. More complex problems often referenced earlier problems, allowing me to review simpler problems if necessary. The chapters on Curvilinear Coordinates and Tensor Analysis are a bonus and serve as useful references for more advanced studies. Given the relatively low cost of this problem set, I recommend buying the Vector Analysis problem set.
Rating:
Summary: An outstanding tutorial reference
Review: I love this book. I've owned three copies of it over the years and I can honestly say that I would not have achieved the final class of degree in Physics that I did without it. The learning curve is very gentle - really nothing is assumed about the reader's background beyond basic integral and differential calculus. The concepts of vectors are introduced one by one, and the book builds logically towards its final stages (introductory tensor analysis) via, inter alia, dot and cross products, partial differential operators on vector spaces (grad, div, curl, Laplacian etc.), line and surface integrals (along with vital allied therorems such as Stokes' and Green's theorems), and general theory of curvilinear coordinate systems (in which the differential operators are refined and generalised). This book is absolutely ideal for an undergraduate course in Physics, Electronic Engineering or Vector Analysis.
Rating:
Summary: If there is more than 5 stars?
Review: The one published in 1959 deserves to be one of the finest books written about vectors .The way it deals with the subject prepare the reader smoothly in mastering the basics of vector analysis, its for the engineer, physicist and mathematician. By the way the full name of the book is "Vector Analysis and an Introduction to Tensor Analysis"
Rating:
Summary: Great Practise With All Basic Vector/Tensor Analysis
Review: This is great as a preparatory or supporting text. I worked through virtually all of the 'supplementary' problems and found the chapters on curvilinear coordinates and tensor analysis very useful preparation for the study of General Relativity texts. Major parts of Landau and Lipschitz 'Classical Theory of Fields' and many other texts were readily accessible after doing the sums from Spiegel. Eminently suitable for independent study.
Rating: 
Summary: It depends...
Review: Visually, the quality of the print is not satisfactory. Formulas are not easy to read, especially that nowadays we're used to professional mathematical typesetting.
About the content, I must say that it may be appropriate for an engineers perspective. Myself, trained in the mathematical rigor, found that it doesn't explain things well. It's just a recopilation of formulas and recipes that only makes sense if you've seen this before.
If you want to learn this stuff from scratch, I would recomend finding another book.
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