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Geometry and Integrability

Most integrable systems owe their origin to problems in geometry and they are best understood in a geometrical context. This is especially;

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Differential Geometry And Kinematics Of Continua

continuum mechanics and continuum physics, with a focus on finite deformation kinematics and classical differential geometry. Of particular interest;

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Coulomb Frames in the Normal Bundle of Surfaces in Euclidean Spaces

equations of Gauss-Weingarten together with various integrability conditions and corresponding surface curvatures. It includes a chapter on;

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Discrete Systems and Integrability

algorithms; singularities and geometry; Hirota's bilinear formalism for lattices; intriguing properties of discrete Painleve equations; and the novel;

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Discrete Systems and Integrability

algorithms; singularities and geometry; Hirota's bilinear formalism for lattices; intriguing properties of discrete Painleve equations; and the novel;

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Geometry and Dynamics of Integrable Systems

is extremely important in symplectic geometry and Hamiltonian dynamics, and has strong correlations with mathematical physics, Lie theory and algebraic;

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Generalized Ricci Flow

, Hitchin's generalized geometry program, and complex geometry. This book gives an introduction to this new area, discusses recent developments, and;

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Integrability, Quantization, and Geometry

Theories and Algebraic Geometry'', reflecting the areas of main scientific interests of Dubrovin. Chronologically, these interests may be divided;

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Differential Galois Theory and Non-Integrability of Hamiltonian Systems

Hamiltonian systems and the integrability of complex analytical linear differential equations. For linear differential equations, integrability;

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The Symbolic Computation of Integrability Structures for Partial Differential Eq

This is the first book devoted to the task of computing integrability structures by computer. The symbolic computation of integrability;

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Elements of Classical and Quantum Integrable Systems

, such as representation theory, harmonic analysis, random matrix theory and complex geometry. Starting with the Liouville theorem and finite;

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Elements of Classical and Quantum Integrable Systems

, such as representation theory, harmonic analysis, random matrix theory and complex geometry. Starting with the Liouville theorem and finite;

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Yang-Baxter Deformation of 2D Non-Linear Sigma Models

integrability and quantum integrability. In this book, the focus is on the former, classical integrability. When the system has a finite number;

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Chaos And Integrability In Nonlinear Dynamics

. Employs Hamiltonian systems as the link between classical and nonlinear dynamics, emphasizing the concept of integrability. Also discusses;

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Complex Analysis and Geometry

analysis and geometry. The book opens with an exposition of the achievements of Pierre Lelong on plurisubharmonic functions, closed positive;

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Differential Operators On Spaces Of Variable Integrability

The theory of Lebesgue and Sobolev spaces with variable integrability is experiencing a steady expansion, and is the subject of much;

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Integrability: From Statistical Systems to Gauge Theory: Lecture Notes of the Les Houches Summer School

This volume, 106 of the Les Houches Summer School series, brings together applications of integrability to supersymmetric gauge and string;

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Modern Methods in Complex Analysis (AM-137), Volume 137

of elliptic systems, and contact geometry. Among the contributions are survey articles, which are especially suitable for readers looking for a;

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Global Analysis

of mathematics and physics. Well-written and with plenty of examples, this textbook originated from courses on geometry and analysis and presents a;

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Nonlinear Dynamical Systems Of Mathematical Physics

such topics as Liouville-Arnold and Mischenko-Fomenko integrability. This sets the stage for such topics as new formulations of the gradient;

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Probability in Banach Spaces

spaces. Based on these tools, the book presents a complete treatment of the main aspects of Probability in Banach spaces (integrability and limit;

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Tensor Calculus and Analytical Dynamics

nonholonomic constraints related integrability theory of Frobenius The book enables readers to move quickly and confidently in any particular;

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Trends In Differential Geometry, Complex Analysis And Mathematical Physics - Proceedings Of 9th International Workshop On Complex Structures, Integrability And Vector Fields

contributors are consistently aiming at higher achievements of studies of the current topics in complex analysis, differential geometry and;

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Topological, Differential and Conformal Geometry of Surfaces

-free connection on vector fields, the Ansatz of Koszul, the Gauss-Bonnet Theorem, and integrability. These concepts are then used for the study;

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Geometrical Theory Of Dynamical Systems And Fluid Flows (Revised Edition)

and curvature tensors on the basis of differential geometry, theory of Lie groups and integrability. These mathematical theories are applied;

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Introduction to Classical Integrable Systems

isomonodromic deformation and integrability is discussed, and integrable field theories are covered in detail. The KP, KdV and Toda hierarchies are;

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Introduction to Classical Integrable Systems

isomonodromic deformation and integrability is discussed, and integrable field theories are covered in detail. The KP, KdV and Toda hierarchies are;

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