\[ \newcommand{\complexI}{\mathbf{i}} \newcommand{\imaginaryI}{\mathbf{i}} \newcommand{\cis}{\operatorname{cis}} \newcommand{\vecu}{\mathbf{u}} \newcommand{\vecv}{\mathbf{v}} \newcommand{\vecw}{\mathbf{w}} \newcommand{\vecx}{\mathbf{x}} \newcommand{\vecy}{\mathbf{y}} \newcommand{\vecz}{\mathbf{z}} \]
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Discrete Calculus

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    Discrete Calculus (Lecture Notes / PDF Book)

    by Ariel Daley
    219 views

    📖 Discrete Calculus (PDF) This book presents a unified treatment of discrete calculus, beginning with the classical calculus of finite differences and culminating in the discrete Hodge decomposition theorem on simplicial complexes. The Hodge decomposition asserts that every discrete differential form on a finite simplicial complex decomposes uniquely and orthogonally …

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