Abstract
In the previous chapter we reviewed the intuitive notions connected with vectors in space and their algebra. We derived vector equations for lines and planes and saw how once a coordinate system was chosen these vector equations lead to the familiar equations of analytic geometry. However, particularly in application to physics, it is often very important to know the relation between the equations for the same plane (or line) in different coordinate systems. This leads us to the notion of a coordinate transformation. The appropriate domain in which to study such transformations is that of the abstract vector spaces to be introduced in this chapter.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1998 Springer Science+Business Media New York
About this chapter
Cite this chapter
Smith, L. (1998). Vector Spaces. In: Linear Algebra. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1670-4_2
Download citation
DOI: https://doi.org/10.1007/978-1-4612-1670-4_2
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-7238-0
Online ISBN: 978-1-4612-1670-4
eBook Packages: Springer Book Archive