Abstract Linear Algebra
نویسندگان
چکیده
منابع مشابه
Linear algebra and differential geometry on abstract Hilbert space
Isomorphisms of separable Hilbert spaces are analogous to isomorphisms of n-dimensional vector spaces. However, while n-dimensional spaces in applications are always realized as the Euclidean space Rn, Hilbert spaces admit various useful realizations as spaces of functions. In the paper this simple observation is used to construct a fruitful formalism of local coordinates on Hilbert manifolds. ...
متن کاملTeaching Computational Abstract Algebra
In the Spring semester of 1990 we undertook the educational experiment of teaching undergraduate mathematics and computer science students some fundamental notions of algebra by using computers. The course was entitled Computational Abstract Algebra and offered at Rensselaer Polytechnic Institute as a cross-listed mathematics and computer science course. Twelve students enrolled in it, five of ...
متن کاملNotes on Abstract Algebra
1 Functions Definition 1.1. Given sets S and T , suppose there is a subset G ⊆ S × T with the following properties: • If (s1, t1) ∈ G and (s2, t2) ∈ G and s1 = s2 then t1 = t2; • For each s ∈ S, there is an element (s, t) ∈ G. Then for each s ∈ S, there is exactly one element α(s) ∈ T so that (s, α(s)) ∈ G. This defines a function α, with domain S and target T , which can be denoted α : S → T ....
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ژورنال
عنوان ژورنال: Nature Physical Science
سال: 1971
ISSN: 0300-8746,2058-1106
DOI: 10.1038/physci229160b0