Writing by two of old Broken Gian-Car students it, this book is based on notes of its courses and personal conversations with him. The subjects include sets and valuations, sets partially ordered, distributive cross-linkings, partitions and the entropy, the theory of game, matrices free, doubly estocástica matrices, functions of Moebius, chains and antichains, the modular and geometric Sperner theory, passage linear equivalence ratios and lattice windows, lattice windows, the valuation ring, the generation of functions, calculation threshold, symmetrical functions, algebras of Baxter, unimodalidad of sequences, and the location of zero of polynomials. Many exercises and problems of investigation are included, and the unexplored zones of the investigation are discussed possible. This book would have to be in the warehouse of all the students and investigators in the combinatorics and related areas.

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