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Table of Contents: “... of observables and perturbation theory -- Variational problems -- Gravitational well: a case study -- Miscellaneous -- The Hellmann-Feynman theorem -- Local density approximation theories -- Integrable partial differential equations -- Rare and exotic methods...”

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Table of Contents: “...Elements of linear algebra -- Complex numbers and functions -- Fourier series -- Special Functions -- Fourier Transform -- Laplace Transform -- Curvilinear coordinates -- Partial differential equations of mathematical physics -- Calculus of variations....”

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Table of Contents: “...Preliminaries -- Linear Algebra and Vector Space -- Calculus with functions of Multivariables -- Theory of Complex Variables -- Transforms -- Ordinary and Partial Differential Equations -- Difference Equations -- Optimization -- Probability -- Statistics...”

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Table of Contents: “...Theory and Algorithms -- Solving Partial Differential Equations using Point-based Neural Networks -- Patch Mix Augmentation with Dual Encoders for Meta-Learning -- Tacit Commitments Emergence in Multi-agent Reinforcement Learning -- Saccade Direction...”

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Table of Contents: “...Chapter 1: Ordinary Differential Equations -- Chapter 2: Power Series Methods -- Chapter 3: Laplace Transforms -- Chapter 4: Matrices and Determinants -- Chapter 5: Vector Analysis -- Chapter 6: Partial Differential Equations -- Chapter 7: Complex...”

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Table of Contents: “... Equations In Probability Theory -- 5.5.1 Markov Chains -- 5.5.2 Gambler's Ruin Problems -- 5.6 Miscellaneous Examples of Mathematical Modeling through Difference Equations -- Chapter 6: Mathematical Modeling through Partial Differential Equations -- 6.1...”

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