Science/Engineering Lectures on Advances in Combinatorics (3540786015)

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The main focus of these lectures is basis extremal problems and inequalities two sides of the same coin. Additionally they prepare well for approaches and methods useful and applicable in a broader mathematical context. Highlights of the book include a solution to the famous 4m-conjecture of ErdÃ¶s/Ko/Rado 1938, one of the oldest problems in combinatorial extremal theory, an answer to a question of ErdÃ¶s (1962) in combinatorial number theory & 8220;What is the maximal cardinality of a set of numbers smaller than n with no k+1 of its members pair wise relatively prime?& 8221;, and the discovery that the AD-inequality implies more general and sharper number theoretical inequalities than for instance Behrend& 8217;s inequality.

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