Multilinear Algebra

Igor Kriz and Aleš Pultr
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Igor Kriz: University of Michigan, Department of Mathematics
Aleš Pultr: Charles University, Department of Applied Mathematics (KAM) Faculty of Mathematics and Physics

Chapter 11 in Introduction to Mathematical Analysis, 2013, pp 267-285 from Springer

Abstract: Abstract Now that we strengthened our foundations in topology, algebra needs an upgrade as well. We already know the concept of a bilinear map, which we have used, for example, in Chapter 3 , Section 8. Of the more general multilinear maps, we encountered one additional example: the determinant. In this chapter, we will study multilinear maps in some depth. This is essential for our treatment of differential forms in Chapter 12 below, as well as for tensor calculus in Chapter 15 below.

Keywords: Vector Space; Tensor Product; Universal Property; Vector Space Versus; Real Vector Space (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/978-3-0348-0636-7_11

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