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Nonlinear PDEs, Their Geometry, and Applications

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Cover of 'Nonlinear PDEs, Their Geometry, and Applications'

Table of Contents

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    Book Overview
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    Chapter 1 Contact Geometry, Measurement, and Thermodynamics
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    Chapter 2 Lectures on Geometry of Monge–Ampère Equations with Maple
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    Chapter 3 Geometry of Monge–Ampère Structures
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    Chapter 4 Introduction to Symbolic Computations in Differential Geometry with Maple
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    Chapter 5 On the Geometry Arising in Some Meteorological Models in Two and Three Dimensions
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    Chapter 6 Gas Flow with Phase Transitions: Thermodynamics and the Navier–Stokes Equations
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    Chapter 7 Differential Invariants in Thermodynamics
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    Chapter 8 Monge–Ampère Grassmannians, Characteristic Classes and All That
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    Chapter 9 Weak Inverse Problem of Calculus of Variations for Geodesic Mappings and Relation to Harmonic Maps
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    Chapter 10 Integrability of Geodesics of Totally Geodesic Metrics
Attention for Chapter 2: Lectures on Geometry of Monge–Ampère Equations with Maple
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