Wikipedia:Sandbox/Archive
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Structure
Many mathematical objects, such as sets of numbers and functions, exhibit internal structure. The structural properties of these objects are investigated in the study of groups, rings, fields and other abstract systems, which are themselves such objects. This is the field of abstract algebra. An important concept here is that of vectors, generalized to vector spaces, and studied in linear algebra. The study of vectors combines three of the fundamental areas of mathematics; quantity, structure, and space. Vector calculus expands the field into a fourth fundamental area, that of change.
What they say
Mathematicians have a lot to say about mathematics.
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The structural properties of these objects are investigated in the study of groups, rings, fields and other abstract systems, which are themselves such objects. This is the field of abstract algebra.
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An important concept here is that of vectors, generalized to vector spaces, and studied in linear algebra.
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