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Topological groups. Lie groups --- Ordered algebraic structures --- Lie algebras --- Lie groups --- #TCPW W2.0 --- #TCPW W2.1 --- #WWIS:STAT --- 512.81 --- Groups, Lie --- Symmetric spaces --- Topological groups --- Algebras, Lie --- Algebra, Abstract --- Algebras, Linear --- Lie algebras. --- Lie groups. --- 512.81 Lie groups --- Matrix groups --- Matrices, Groupes de --- Matrix groups. --- Groupes et algebres de lie --- Groupes (algebre) --- Groupes classiques
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Differential geometry. Global analysis --- Catastrophes (Mathematics) --- Scientific applications --- Industrial applications --- 515.16 --- Topology of manifolds --- Industrial applications. --- Scientific applications. --- Catastrophes (Mathematics). --- 515.16 Topology of manifolds --- Differentiable mappings --- Manifolds (Mathematics) --- Singularities (Mathematics) --- Catastrophes (Mathematics) - Scientific applications --- Catastrophes (Mathematics) - Industrial applications
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Catastrophes (Mathematics) --- Engineering mathematics --- Mathematical physics --- Science --- Catastrophes (Mathématiques) --- Mathématiques de l'ingénieur --- Physique mathématique --- Sciences --- Mathematics --- Mathématiques --- -#TELE:MI2 --- 515.1 --- Natural science --- Science of science --- Physical mathematics --- Physics --- Engineering --- Engineering analysis --- Mathematical analysis --- Differentiable mappings --- Manifolds (Mathematics) --- Singularities (Mathematics) --- Topology --- 515.1 Topology --- Catastrophes (Mathématiques) --- Mathématiques de l'ingénieur --- Physique mathématique --- Mathématiques --- #TELE:MI2
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Describing many of the most important aspects of Lie group theory, this book presents the subject in a 'hands on' way. Rather than concentrating on theorems and proofs, the book shows the applications of the material to physical sciences and applied mathematics. Many examples of Lie groups and Lie algebras are given throughout the text. The relation between Lie group theory and algorithms for solving ordinary differential equations is presented and shown to be analogous to the relation between Galois groups and algorithms for solving polynomial equations. Other chapters are devoted to differential geometry, relativity, electrodynamics, and the hydrogen atom. Problems are given at the end of each chapter so readers can monitor their understanding of the materials. This is a fascinating introduction to Lie groups for graduate and undergraduate students in physics, mathematics and electrical engineering, as well as researchers in these fields.
Topological groups. Lie groups --- Lie, Groupes de --- Geometry --- Physics --- Group theory. --- Lie groups. --- Lie groups --- Group theory --- Groupes, Théorie des --- Groupes de Lie --- Théorie des groupes --- Lie, Groupes de. --- Groupes, Théorie des. --- Groups, Theory of --- Substitutions (Mathematics) --- Algebra --- Groups, Lie --- Lie algebras --- Symmetric spaces --- Topological groups --- Groupes, Théorie des.
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"In the tradition of his bestselling Alice in Quantumland, The Wizard of Quarks takes L. Frank Baum's classic tale of a little girl from Kansas and transforms it into a description of the practically indescribable world of subatomic particles. Dorothy's encounters with the Witch of Mass, the Witch of Charge, the Witch of Color, and the Weak Witch will help readers grasp the maddeningly elusive concepts that support the foundations of modern physics."--Jacket.
Particles (Nuclear physics) --- 539.12 --- 539.12 Elementary and simple particles (charge less than 3 including alpha-rays, beta-rays, gamma-rays as individual particles or as radiation) --- Elementary and simple particles (charge less than 3 including alpha-rays, beta-rays, gamma-rays as individual particles or as radiation) --- Elementary particles (Physics) --- High energy physics --- Nuclear particles --- Nucleons --- Nuclear physics
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One of the key components of modern physics, quantum mechanics is used in such fields as chemistry, electrical engineering, and computer science. Central to quantum mechanics is Schrdinger's Equation, which explains the behavior of atomic particles and the energy levels of a quantum system. Robert Gilmore's innovative approach to Schrdinger's Equation offers new insight into quantum mechanics at an elementary level. Gilmore presents compact transfer matrix methods for solving quantum problems that can easily be implemented on a personal computer. He shows how to use these methods on a large variety of potentials, both simple and periodic. He shows how to compute bound states, scattering states, and energy bands and describes the relation between bound and scattering states. Chapters on alloys, superlattices, quantum engineering, and solar cells indicate the practical application of the methods discussed. Gilmore's concise and elegant treatment will be of interest to students and professors of introductory and intermediate quantum courses, as well as professionals working in electrical engineering and applied mathematics.
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