Discrete Calculus - Applied Analysis on Graphs for Computational Science

Discrete Calculus: History and FuturePart I: A Brief Review of Discrete CalculusIntroduction to Discrete CalculusCircuit Theory and Other Discrete Physical ModelsPart II: Applications of Discrete CalculusBuilding a Weighted Complex from DataFiltering on GraphsClustering and SegmentationManifold Learning and RankingMeasuring NetworksRepresentation and Storage of a Graph and ComplexOptimizationThe Hodge Theorem: A Generalization of the Helmholtz Decomposition