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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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Lie groups. --- Lie algebras. --- Groupes de Lie --- Algèbres de Lie
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Chaotic behavior in systems --- Attractors (Mathematics) --- Topology --- Chaos --- Attracteurs (Mathématiques) --- Topologie
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