The Mathematical Foundations of Science and Engineering

George W. Hart
Additional contact information
George W. Hart: Columbia University, Department of Electrical Engineering

Chapter 1 in Multidimensional Analysis, 1995, pp 17-55 from Springer

Abstract: 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.

Keywords: Real Number; Vector Space; Algebraic System; Number System; Mathematical Foundation (search for similar items in EconPapers)
Date: 1995
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-4208-6_2

Ordering information: This item can be ordered from
http://www.springer.com/9781461242086

DOI: 10.1007/978-1-4612-4208-6_2

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().