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The Mathematical Foundations of Science and Engineering

In: Multidimensional Analysis

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  • George W. Hart

    (Columbia University, Department of Electrical Engineering)

Abstract

The mathematics of scalar quantities in science and engineering has traditionally relied on the real and complex number systems. One theme of this chapter is that, in themselves, those number systems are not powerful enough to represent the algebraic structure that we need when we operate with physically dimensioned quantities. The main points are very simple, and the central proposals are not new in any essential way. I am simply trying to make explicit what many practitioners are already doing. The goal is to elucidate the unstated formal system that lies behind the use of dimensioned scalars. These initial arguments are necessary in order to have an agreed-upon foundation on which to build to more advanced issues of vectors and matrices in the following chapters.

Suggested Citation

  • George W. Hart, 1995. "The Mathematical Foundations of Science and Engineering," Springer Books, in: Multidimensional Analysis, chapter 1, pages 17-55, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-4208-6_2
    DOI: 10.1007/978-1-4612-4208-6_2
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