By Ilwoo Cho
This e-book introduces the research of algebra caused by way of combinatorial gadgets 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 e-book offers fresh learn in operator algebra concept attached with discrete and combinatorial mathematical gadgets. It additionally covers instruments and techniques from numerous mathematical components, together with algebra, operator thought, and combinatorics, and gives a number of functions of fractal conception, entropy thought, K-theory, and index theory.
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