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Topological Groups, Lie Groups - Dave Rusin; The Mathematical Atlas A short article designed to provide an introduction to Lie groups, an important special branch of group theory. They have algebraic structure and yet are also subsets of space, and so have a geometry; moreover, portions of them look just like Euclidean space, making it possible to do analysis on them (e.g. solve differential equations). Thus Lie groups and other topological groups lie at the convergence of the different areas of pure mathematics. (They are quite useful in application of mathematics to the sciences as well.) History; applications and related fields and subfields; textbooks, reference works, and tutorials; software and tables; other web sites with this focus. more>>

All Sites - 8 items found, showing 1 to 8

CT Category Theory (Front for the Mathematics ArXiv) - Univ. of California, Davis Category Theory preprints, from the U.C. Davis front end for the xxx.lanl.gov e-Print archive, a major site for mathematics preprints that has incorporated many formerly independent specialist archives. Search by keyword or browse by topic. ...more>> Daniel Bump A mathematics professor researching automorphic forms, representation theory, and number theory at Stanford University. Read the errata for his book Automorphic Forms and Representations, notes on the Riemann zeta function and possible proofs of the ...more>> Espaces Fibrés et Connexions - Robert Coquereaux Un livre de géométrie différentielle en hypertexte; une introduction a la théorie des espaces fibrés et des connexions. A hypertext book in French on differential geometry. ...more>> John Stembridge John Stembridge researches algebra and combinatorics. His papers on these subjects are available online as gzipped PostScript files. The site contains an archive of related research data such as lists of posets on 8 or fewer vertices and Coxeter graph ...more>> Journal of Lie Theory - Karl-Hermann Neeb, Managing Editor An electronic journal for speedy publication of information in the following areas: Lie algebras, Lie groups, algebraic groups, and related types of topological groups such as locally compact and compact groups. Applications to representation theory, ...more>> Mathematical Ideas in Science - Seven Stones Multimedia A series of tutorial modules using JavaScript, Shockwave for Director, or Shockwave Flash: sphere packings, shapes and lattices; waves described, longitudinal and transverse wave lab, 2-dimensional harmonic disturbance; 2-dimensional vector components ...more>> Ross Geoghegan A mathematician at the State University of New York at Binghamton interested in topology, geometric group theory, fixed point theory, and dynamics. Curriculum vitae and list of publications (some articles and preprints may be downloaded in PostScript ...more>> Topics in Mathematics - Felynx Cougati Project; University of Alberta An extensive site in the following topics: Foundational Ideas (Space and Dimension; Sets and Functions); Differential Calculus (Single Variable; Several Variables); Linear Algebra (Vector Spaces; Matrices; Linear Maps; Determinants); Topology (Topological ...more>>

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