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This classic monograph on representation theory and the symmetric group is suitable for advanced undergraduates and graduate students. Topics include the calculus of permutations, the calculus of tableaux, the semi-normal representation, the orthogonal and natural representations, group characters, and substitutional equations. Includes a bibliography on substitutional analysis. 1968 edition.
Daniel Edwin Rutherford (1906–66) was Professor of Mathematics and Applied Mathematics at Scotland's University of St. Andrews. Substitutional Analysis is widely considered the most historically important of his many books.