Excellent Vector Analysis Primer
Dr Spiegel does an excellent job presenting the topic of Vector Analysis. First, he clearly and concisely presents the mathematics governing vectors. Then, he provides the proofs of the mathematical concepts through fully-worked example problems. He then presents fully-worked practical application problems before providing the student with scores of unworked problems (with the answers attached). I am taking a graduate course, Analysis in Mechanical Engineering, and find Dr Spiegel's text completely sufficent to explain the material on vector analysis.