Category Archive: Non-Euclidean Geometries

Oct 11

Bibliography of non-Euclidean geometry, including the theory

Format: Paperback

Language: English

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Size: 9.14 MB

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I have been privileged to be his student, colleague, and friend. In the case of non-Euclidean geometry, Gauss had an additional reason for not publishing his work. ... [A]nyone professing to present another geometry conflicting with Euclid's would undoubtedly have been judged insane not only by the general public, which was ignorant of all geometry, but by mathematicians, scientists, and philosophers. ...

Oct 11

Geometric Formulas (Quickstudy: Academic)

Format: Pamphlet

Language: English

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Size: 12.38 MB

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During the late nineteenth century, the physicists had developed the theory of electromagnetism to a clear refinement with vector calculus that mathematicians such as the French Élie Cartan (1869-1951) later polished into the abstraction of differential forms and integration on manifolds. From those articles: "When is it better to use arithmetic (additive) parameters and when geometric (multiplicative) ones?" [264, 265] Application of geometric arithmetic [15] to wavelet analysis was made in the article "Geometric wavelet approximations and differencing" by Abdourrahmane Mahamane Atto, Emmanuel Trouve, Jean Marie Nicolas (the former two from Polytech Annecy-Chambery in France, and the latter from Télécom ParisTech in France).

Oct 11

Geometry: A Metric Approach with Models (Undergraduate Texts

Format: Hardcover

Language: English

Format: PDF / Kindle / ePub

Size: 14.23 MB

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Many outstanding mathematicians have updated the old PDE tools, and developed new ones when necessary, in order to study in depth nonlinear elliptic and parabolic nonlocal equations. Furthermore, unlike the classical derivative, the bigeometric derivative is scale invariant (or scale free), i.e., it is invariant under all changes of scale (or unit) in function arguments and in function values. The kind of “postmodernism” titrated in sociology laboratories is intrinsically different from the kind brewed in creative design laboratories.

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