Re: Book on Pre-MATH for cryptography and cryptanalysis. Reply
- From: "Douglas A. Gwyn" <DAGwyn@xxxxxxxx>
- Date: Sat, 28 Apr 2007 03:19:26 GMT
rolof789@xxxxxxxx wrote:
I dont even remember what linear algebra is, or even if its the same thing as Elementary Algebra?
Linear algebra is essentially about vectors and matrices.
(Oversimplified, but close enough.)
Wikipedia was not much help either. So as for Abstract Algebra,, its new to me.
Think of abstract algebra as the study of formal systems of operations
on members of some set, such as + operating on integers (an example of
an "Abelian group"). Algebras can differ in many ways from the
arithmetic systems we all were taught in elementary school. For
example, if ^ denotes some operation it is sometimes possible that
a^b does not equal b^a. Names such as "group", "ring", and "field"
indicate sets of objects with associated operations that obey
specific general rules. (E.g. for any group G: a in G and b in G
implies a op b in G; a,b,c in G implies that (a op b) op c equals
a op (b op c); there is a member e of G such that a op e = a for
each a in G; for each a in G there is a member q in G such that
a op q = e. For addition over integers, 0 acts as that e, and q is
just -a.)
.
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