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| | K-State Undergraduate Catalog 2004-2006: Mathematics |
 | | (3) An introduction to logic, mathematical proof, and elementary set theory; elementary logic, the basic constructions of set theory, relations, partitions, functions, cartesian products, disjoint unions, orders, and a construction of the natural numbers; also ordinal and cardinal numbers, the Axiom of Choice, and transfinite induction. |
 | | Special emphasis will be given to proving theorems. |
 | | Necessary conditions and the Euler-Lagrange equations, Hamilton-Jacobi theory, Noether's theorems, direct methods, applications to geometry and physics. |
| courses.k-state.edu /catalog/undergraduate/as/math.html (2449 words) |
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