LynFran
  • LynFran
Ok so i need ideas on course: Linear and Modern Algebra ... I have to create a creative piece on the course to do, as a project ...Any creative minds!?
Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
jamiebookeater
  • jamiebookeater
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LynFran
  • LynFran
its an open project ..that requires creativity ...and must outline some/most of the subtopics under linear and modern Algebra...
anonymous
  • anonymous
hmm i'll think for a while lol
anonymous
  • anonymous
so why don't you talk about the general formula of solving a polynomial, and for how far we can get a one, talk about galois

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anonymous
  • anonymous
https://www.youtube.com/watch?v=Mc0bvea6G3I
AravindG
  • AravindG
Maybe the application of modern algebra in real life?
anonymous
  • anonymous
well RV like what :P @aravindg
amistre64
  • amistre64
crypto analysis maybe?
anonymous
  • anonymous
that's interesting @amistre64
anonymous
  • anonymous
This is a delicate question and you might need to refine your question in order to get a good answer. My Professor always taught us that Linear Algebra is the study of \(\hom_R(M,N)\) where \(M,N\) are Modules or a commutative (unitary) ring \(R\) and \(\hom\) stands for linear mappings. Things can get very easily very abstract but the underlying principle of it all is still to 'solve equations'. So to simplify the whole thing Linear Algebra could be thought of as the study of Algorithms and Methods to solve linear equations over some algebraic structures such as \(R\)-Modules, Vectorspaces and Fields. As already mentioned by amistre, a good application of such structures can be cryptography (you can google for the underlying principle of homomorphism, also known as the universal property of homomorphisms) which provide already one fairly straight forward method of encryption. Algebra is a whole different beast, if you found some of the informations I have given above helpful I might also write a passage about it. (Indeed, Algebra deals with solving equations too)

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