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Groups and Analysis

, topological groups, Lie groups and representation theory, harmonic analysis and analytic number theory as well as foundations of mathematics. In this;

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Geometric Analysis and Lie Theory in Mathematics and Physics

mathematics and physics, and also where suitable expositions did not previously exist at a level suitable for graduate students. Topics covered;

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Guide To Lie Systems With Compatible Geometric Structures, A

of contemporary research topics. It embraces several basic topics on differential geometry and the study of geometric structures while developing known;

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Lie Theory and Its Applications in Physics

This volume presents modern trends in the area of symmetries and their applications based on contributions from the workshop Lie Theory;

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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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Quantum Theory for Mathematicians

theory; the Schroedinger equation in one space dimension; the Spectral Theorem for bounded and unbounded self-adjoint operators; the Stone-von;

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Matrix Groups for Undergraduates

, the author combines rigor and intuition to describe basic objects of Lie theory: Lie algebras, matrix exponentiation, Lie brackets, and;

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Lie Theory and Its Applications in Physics

, symmetries of linear and nonlinear PDE, special functions, and others. Furthermore, the necessary tools from functional analysis and number theory;

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Geometric and Topological Methods for Quantum Field Theory

such as Dirac structures, holomorphic bundles and stability, Feynman integrals, geometric aspects of quantum field theory and the standard;

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Riemannian Geometry and Geometric Analysis

emphasises the geometric aspects and integrates it into the context of Riemannian geometry and geometric analysis. It also gives a new presentation;

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Lie Groups Beyond an Introduction

. Merging algebra and analysis throughout, the author uses Lie-theoretic methods to develop a beautiful theory having wide applications;

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Lectures on Quantum Mechanics

discovery it has inspired and been inspired by many topics within modern mathematics, including functional analysis and operator algebras, Lie;

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Geometric and Topological Methods for Quantum Field Theory

at the interface between algebra, geometry, topology and quantum field theory. The first part of the book begins with an account of important;

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Lie Groups, Lie Algebras, and Representations

of semisimple Lie groups and Lie algebras, beginning with a detailed analysis of the representations of SU(3). The author illustrates the general theory;

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Lie Theory and Its Applications in Physics

This volume presents modern trends in the area of symmetries and their applications based on contributions to the workshop Lie Theory and;

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Group-Theoretic Methods in Mechanics and Applied Mathematics

book gives the systematic group analysis of main postulates of classical and relativistic mechanics. The consistent presentation of Lie group;

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Group-Theoretic Methods in Mechanics and Applied Mathematics

book gives the systematic group analysis of main postulates of classical and relativistic mechanics. The consistent presentation of Lie group;

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Geometric Analysis and Applications to Quantum Field Theory

discoveries in geometry and analysis. The various chapters in this volume, treating the interface of geometric analysis and mathematical physics;

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Smooth Homogeneous Structures in Operator Theory

Geometric ideas and techniques play an important role in operator theory and the theory of operator algebras. Smooth Homogeneous Structures;

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Smooth Homogeneous Structures in Operator Theory

Geometric ideas and techniques play an important role in operator theory and the theory of operator algebras. Smooth Homogeneous Structures;

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Geometric Mechanics - Part Ii

See also GEOMETRIC MECHANICS - Part I: Dynamics and Symmetry (2nd Edition) This textbook introduces modern geometric mechanics to advanced;

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Symmetries, Differential Equations and Applications

, ranging from mathematical physics to financial mathematics. The selected and peer-reviewed contributions gathered here cover Lie theory and;

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Symmetries, Differential Equations and Applications

, ranging from mathematical physics to financial mathematics. The selected and peer-reviewed contributions gathered here cover Lie theory and;

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Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics I

probability theory, number theory, geometric measure theory, partial differential equations, global analysis on non-smooth spaces, harmonic analysis;

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Lie Groups, Physics, And Geometry

groups and Lie algebras are given throughout the text. The relation between Lie group theory and algorithms for solving ordinary differential;

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Gentle Introduction To Knots, Links And Braids, A

The interface between Physics and Mathematics has been increasingly spotlighted by the discovery of algebraic, geometric, and topological;

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

See also GEOMETRIC MECHANICS - Part II: Rotating, Translating and Rolling (2nd Edition) This textbook introduces the tools and language;

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