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The unity of mathematics: a casebook comprising practical geometry number theory and linear algebra
Published:
2003-06-01
https://doi.org/10.5485/TMCS.2003.0001
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Keywords
paper-folding construction of quasi-regular polygons star polygons practical geometry number theory linear algebra
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Copyright (c) 2003 Peter Hilton and Jean Pedersen
This work is licensed under a Creative Commons Attribution 4.0 International License.
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Hilton, P., & Pedersen, J. (2003). The unity of mathematics: a casebook comprising practical geometry number theory and linear algebra. Teaching Mathematics and Computer Science, 1(1), 1-34. https://doi.org/10.5485/TMCS.2003.0001
Abstract
We give a sustained example, drawn largely from earlier publications, of how we may freely pursue a line of mathematical enquiry if we are not constrained, unnaturally, to confine ourselves to a single mathematical subdiscipline; and we draw conclusions from the study of this example which are relevant at many levels of mathematical instruction.
We also include the statement and proof of a new result (Theorem 4.1) in linear algebra which is obviously fundamental to the geometrical investigation which constitutes the leit-motif of the paper.
We also include the statement and proof of a new result (Theorem 4.1) in linear algebra which is obviously fundamental to the geometrical investigation which constitutes the leit-motif of the paper.