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Table of Contents
Chapter 1. Continuous, Discrete and Ultradiscrete Painlevé Equations
Chapter 2. Elliptic Hypergeometric Functions
Chapter 3. Integrability of Difference Equations through Algebraic Entropy and Generalized Symmetries
Chapter 4. Introduction to Linear and Nonlinear Integrable Theories in Discrete Complex Analysis
Chapter 5. Discrete Integrable Systems, Darboux Transformations and Yang-Baxter Maps
Chapter 6. Symmetry-Preserving Numerical Schemes
Chapter 7. Introduction to Cluster Algebras
Chapter 8. An Introduction to Difference Galois Theory
Chapter 9. Lectures on Quantum Integrability: Lattices, Symmetries and Physics.
Chapter 2. Elliptic Hypergeometric Functions
Chapter 3. Integrability of Difference Equations through Algebraic Entropy and Generalized Symmetries
Chapter 4. Introduction to Linear and Nonlinear Integrable Theories in Discrete Complex Analysis
Chapter 5. Discrete Integrable Systems, Darboux Transformations and Yang-Baxter Maps
Chapter 6. Symmetry-Preserving Numerical Schemes
Chapter 7. Introduction to Cluster Algebras
Chapter 8. An Introduction to Difference Galois Theory
Chapter 9. Lectures on Quantum Integrability: Lattices, Symmetries and Physics.