This graduate-level text presents mathematical theory and problem-solving techniques associated with enumeration problems. Subjects include the combinatorics of the ordinary generating function and the exponential generating function, the combinatorics of sequences, and the combinatorics of paths. The text is complemented by approximately 350 exercises with full solutions. 1983 edition. Foreword by Gian-Carlo Rota. References. Index.
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This graduate text explains enumeration problems, blending combinational and algebraic concepts starting with the elementary and advancing to the research level. The authors (combinatorics and optimization, U. of Waterloo) begin with the mathematical preliminaries, including the ring of formal power series and the Lagrange theorem for implicit func
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