Condensation methods for calculating determinants: idea and retrospective

The talk is on the creation history of condensation methods (compaction, thickening) for calculating the determinants of matrices. The essence of such methods is to lower the order of the determinant by calculating the second-order determinants composed of the elements of the original matrix. The most famous is the Dodgson condensation method, published in 1866. English mathematician, logician, writer, photographer, deacon of the Church of England Charles Lutwidge Dodgson is better known by his literary pseudonym, Lewis Carroll. Another method that was published earlier, by the Italian mathematician Felice (Félix) Chiò, in 1853. Although both methods for third-order determinants are the same, they are fundamentally different. The talk will present these methods and some of their generalizations.
*) The entrance is the same