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Guide To Lie Systems With Compatible Geometric Structures, A

The book presents a comprehensive guide to the study of Lie systems from the fundamentals of differential geometry to the development;

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Dynamical Systems and Geometric Mechanics

Introduction to Dynamical Systems and Geometric Mechanics provides a comprehensive tour of two fields that are intimately entwined;

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Smooth Homogeneous Structures in Operator Theory

of research. Requiring only a moderate familiarity with functional analysis and general topology, the author begins with an introduction to;

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Smooth Homogeneous Structures in Operator Theory

of research. Requiring only a moderate familiarity with functional analysis and general topology, the author begins with an introduction to;

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Lie Algebras, Geometry, and Toda-Type Systems

introduction to this exciting branch of science. Chapters 1 and 2 review basic notions of Lie algebras and differential geometry with an emphasis on;

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Lévy Processes in Lie Groups

the underlying algebraic and geometric structures of the Lie groups themselves. The purpose of this work is to provide an introduction to Levy;

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Geometric Mechanics And Symmetry

. Geometric Mechanics and Symmetry is a friendly and fast-paced introduction to the geometric approach to classical mechanics, suitable for a one- or;

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An Alternative Approach to Lie Groups and Geometric Structures

This book presents a new and innovative approach to Lie groups and differential geometry. Rather than compiling and reviewing the existing;

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Geometric Algebra Applications Vol. II

calculations in geometric algebra, and a entire section focusing on how to write the subroutines in C++, Matlab and Maple to carry out;

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A Practical Guide to Geometric Regulation for Distributed Parameter Systems

A Practical Guide to Geometric Regulation for Distributed Parameter Systems provides an introduction to geometric control design;

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Lie's Structural Approach to PDE Systems

This book provides a lucid and comprehensive introduction to the differential geometric study of partial differential equations. It was the;

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Lie's Structural Approach to Pde Systems

This book provides a lucid and comprehensive introduction to the differential geometric study of partial differential equations. It was the;

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Nonlinear Dynamical Systems Of Mathematical Physics

elements of quantum mathematics along with applications to Whitham systems, gauge theories, hadronic string models, and a supplement on fundamental;

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Geometric Mechanics - Part I: Dynamics And Symmetry (2nd Edition)

of modern geometric mechanics to advanced undergraduates and beginning graduate students in mathematics, physics and engineering. It treats the;

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Lie Groups

This book is dedicated to recent and important research on Lie groups. A Lie Group is a group which is also a differentiable manifold, with;

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Potential Theory and Geometry on Lie Groups

approaches to the classification are equivalent. Part II covers geometric theory of the same classification and a proof that it is equivalent to the;

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Fundamentals of Advanced Mathematics V3

groups, the Haar measure, the convolution of functions and distributions, and the harmonic analysis over a Lie group. Finally, the theory;

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Topological Methods in Hydrodynamics

The first monograph to treat topological, group-theoretic, and geometric problems of ideal hydrodynamics and magnetohydrodynamics from a;

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Algebra and Applications 1

structures, geometric structures on 3-Lie algebras and derived categories are all explored. Algebra and Applications 1 is of great interest to;

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Lectures on Buildings

In mathematics, 'buildings' are geometric structures that represent groups of Lie type over an arbitrary field. This concept is critical to;

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Analysis of Geometrically Nonlinear Structures

follows is a unified approach (for both discrete and continuous systems) to geometric nonlinearities which incidentally does not require a;

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Lie Theory and Its Applications in Physics

Traditionally, Lie theory is a tool to build mathematical models for physical systems. Recently, the trend is towards geometrization of the;

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Parabolic Geometries I

Parabolic geometries encompass a very diverse class of geometric structures, including such important examples as conformal, projective;

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Supermanifolds

of supermanifolds, including a rigorous account of the super-analogs of all the basic structures of ordinary manifold theory. The exposition opens with the;

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Geometric Science of Information

geometric mechanics/thermodynamics; computational information geometry; Lie groups: novel statistical and computational frontiers; geometry of time;

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A Course in Differential Geometry and Lie Groups

spaces to a manifold. Early and simultaneous treatment of Lie groups and related concepts. A motivated and highly geometric proof of the;

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