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12
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One possibily path into abstract algebra could be to look at it from point of view of cryptography, which is about algorithms on finite field. … Field theory uses vector spaces in prominent position (Galois theory), so this angle should cover a lot of abstract algebra. The book A Computational Introduction to Number Theory and Algebra by V. …
answered Feb 24 '13 by Martin Berger
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The problem with TMs is that they are not naturally equipped with a nice algebra that allows building up programs in a compositional way. …
answered Jul 22 '15 by Martin Berger
15
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Your knowledge of field theory would be useful in cryptography, while category theory is heavily used in the research on programming languages and typing systems, both of which are closely related to …
answered Sep 23 '14 by Martin Berger