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Prepared for the Kolchin Seminar on Differential Algebra (2006)
| Content Provider | CiteSeerX |
|---|---|
| Author | Churchill, R. C. |
| Abstract | (This is a corrected and extended version of a lecture originally given in September 2002.) This talk should be regarded as an elementary introduction to differen-tial algebra. It culminates in a purely algebraic proof, due to M. Rosenlicht [Ros2], of an 1835 theorem of Liouville on the existence of “elementary” integrals of “elementary ” functions. The precise meaning of elementary will be specified. As an application of that theorem we prove that the indefinite integral ex 2 dx cannot be expressed in terms of elementary |
| File Format | |
| Publisher Date | 2006-01-01 |
| Access Restriction | Open |
| Content Type | Text |