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| | Algebraic Areas of Mathematics |
 | | We have included here the combinatorial topics and number theory; each is arguably a distinctive area of mathematics but (as the MathMap suggests) these parts of mathematics, shown in shades of red, share definite affinities. |
 | | 11: Number theory is one of the oldest branches of pure mathematics, and one of the largest. |
 | | Of particular interest are several classes of rings of interest in number theory, field theory, algebraic geometry, and related areas; however, other classes of rings arise, and a rich structure theory arises to analyze commutative rings in general, using the concepts of ideals, localizations, and homological algebra. |
| www.math.niu.edu /~rusin/known-math/index/tour_alg.html (1113 words) |
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