By Ilwoo Cho
This publication introduces the learn of algebra prompted via combinatorial gadgets known as directed graphs. those graphs are used as instruments within the research of graph-theoretic difficulties and within the characterization and resolution of analytic difficulties. The booklet offers contemporary learn in operator algebra concept attached with discrete and combinatorial mathematical items. It additionally covers instruments and techniques from quite a few mathematical parts, together with algebra, operator thought, and combinatorics, and gives quite a few purposes of fractal idea, entropy conception, K-theory, and index theory.
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