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He worked on invariants, following Cayley and Sylvester. Then he studied partitions and Latin squares, giving a Presidential Address to the London Mathematical Society on combinatorial analysis in 1894. MacMahon wrote a two volume treatise on this last mentioned topic in 1915 which is a classic.
In 1921 he wrote New Mathematical Pastimes , a book on mathematical recreations. In 1890 he was elected a Fellow of the Royal Society.
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Tell me about MacMahon's work on mathematical games and recreations
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