History of Science and Engineering Annotation << Back STRUCTURE OF PERMUTATIONS AND SUBSTITUTIONS THEORY IN XIX CENTURY A.E. Malykh, V.I. Danilova Main directions of development permutations and substitutions theory in XIX century were examined. Historical process of accumulation scientifi c results was described. Scientifi c contribution in structure and development doctrine XIX–XX centuries was indicated: G.A. Rothe, E. Bezout, P.S. de Laplace, M. Stern, O. Terquem, D. Andrè, J. Riordan, J. Touchard, A. Cayley, Jh. Muir and ets. Structure of permutations and substitutions theory was determined. Keywords: theory of enumeration; permutations and their kinds: conjugated, adjoined, complementary, converse, alternating, circular and ets.; inversions and successions in permutations; substitutions and their kinds; discordant substitutions; application of permutations and substitutions; restricted schemes. Contacts: E-mail: malych@pspu.ru Pp. 03-09.