By Ilwoo Cho
This ebook introduces the learn of algebra prompted by way of combinatorial items referred to as directed graphs. those graphs are used as instruments within the research of graph-theoretic difficulties and within the characterization and answer of analytic difficulties. The booklet provides fresh study in operator algebra thought attached with discrete and combinatorial mathematical gadgets. It additionally covers instruments and strategies from quite a few mathematical components, together with algebra, operator idea, and combinatorics, and gives various functions of fractal concept, entropy concept, K-theory, and index theory.
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