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Erschienen in:
2018 | OriginalPaper | Buchkapitel
3. VECTOR SPACES
verfasst von : Thomas S. Shores
Erschienen in: Applied Linear Algebra and Matrix Analysis
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Abstract
It is hard to overstate the importance of the idea of a vector space, a concept that has found application in mathematics, engineering, physics, chemistry, biology, the social sciences, and other areas. What we encounter is an abstraction of the idea of vector space that we studied in calculus or high school geometry. These “geometrical vectors” can easily be visualized. In this chapter, abstraction will come in two waves. The first wave, which could properly be called generalization, consists in generalizing the familiar ideas of geometrical vectors of calculus to vectors of size greater than three.