Introduction

S. N. Afriat
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S. N. Afriat: University of Siena

A chapter in Linear Dependence, 2000, pp 3-8 from Springer

Abstract: Abstract The subject which often used to be called something like Determinants and Matrices received a new dress when it became Linear Algebra, settling it as a branch of the more abstract subject, finite dimensional and with the real numbers, or perhaps complex numbers, as scalars. Paul R. Halmos with his Finite Dimensional Vector Spaces (1948) brought that shift into the teaching; so did H. L. Hamburger and M. E. Grimshaw, in Linear Transformations in n-dimensional Vector Space (1951), though they were looking forward to getting into Hilbert space. It is now often called classical linear algebra, to distinguish it from combinatorial linear algebra, which deals with linear inequalities and convexity and has linear programming (LP) as a topic.

Date: 2000
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DOI: 10.1007/978-1-4615-4273-5_1

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