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  Selected Sites   (see also All Sites in this category)

  1. Manifolds and Cell Complexes - Dave Rusin; The Mathematical Atlas
    A short article designed to provide an introduction to manifolds, spaces like the sphere which look locally like Euclidean space. In particular, these are the spaces in which we can discuss (locally) linear maps, and the spaces in which to discuss smoothness. They include familiar surfaces. Cell complexes are spaces made of pieces which are part of Euclidean space, generalizing polyhedra. These types of spaces admit very precise answers to questions about existence of maps and embeddings; they are particularly amenable to calculations in algebraic topology; they allow a careful distinction of various notions of equivalence. These are the most classic spaces on which groups of transformations act. This is also the setting for knot theory. History; applications and related fields and subfields; textbooks, reference works, and tutorials; software and tables; other web sites with this focus. more>>


 
  All Sites - 3 items found, showing 1 to 3

  1. DigiArea Group - Helen Golovina
    Makers of atlas™, a Maple package for differential geometry calculations that works with manifolds, mappings, embeddings, submersions, p-forms, and tensor fields; and LdeApprox™, a toolbox for Maple or Mathematica that finds analytical polynomial ...more>>

  2. 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>>

  3. What kind of math? Photo Challenge - Kathryn Mann
    Pictures of math graduate students with word-bubbles showing "the kind of math that's right" for them. Submit your own group snapshots and subfields. Inspired by an observation that a flyer from the American Mathematical Society (AMS) reinforced sexist ...more>>


 
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