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A close look at what vectors mean
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A close look at what vectors mean
Banesh Hoffmann makes the definition of a vector a central question, connecting that conceptual issue to the mathematics built around it. The book moves through the parallelogram law, vector algebra, scalar and vector products, quotients of vectors, and tensors, combining pure and applied mathematics without calculus. Nearly 400 exercises give the subject a substantial problem-solving component. Its scope makes it usable as supplementary reading alongside textbooks or as collateral reading in courses that address vectors; the emphasis on an unresolved definition also opens room for discussion about the foundations of the topic.
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