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An Expedition to Geometry (Texts and Readings in Mathematics) - Tapa blanda

Libro 2 de 33: Texts and Readings in Mathematics

Kumaresan, S.; Santhanam, G.

 
9789380250113: An Expedition to Geometry (Texts and Readings in Mathematics)

Sinopsis

This book, taking a holistic view of geometry, introduces the reader to axiomatic, algebraic, analytic and differential geometry.

Starting with an informal introduction to non-Euclidean plane geometries, the book develops the theory to put them on a rigorous footing. It may be considered as an explication of the Kleinian view of geometry a la Erlangen Programme. The treatment in the book, however, goes beyond the Kleinian view of geometry.

Some noteworthy topics presented include:

  • various results about triangles (including results on areas of geodesic triangles) in Euclidean, hyperbolic, and spherical planes
  • affine and projective classification of conics
  • twopoint homogeneity of the three planes and the fact that the set of distance preserving maps (isometries) are essentially the same as the set of lengths preserving maps of these planes.
Geometric intuition is emphasized throughout the book. Figures are included wherever needed. The book has several exercises varying from computational problems to investigative or explorative open questions.

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Acerca del autor

Charlotte y Peter Fiell son dos autoridades en historia, teoría y crítica del diseño y han escrito más de sesenta libros sobre la materia, muchos de los cuales se han convertido en éxitos de ventas. También han impartido conferencias y cursos como profesores invitados, han comisariado exposiciones y asesorado a fabricantes, museos, salas de subastas y grandes coleccionistas privados de todo el mundo. Los Fiell han escrito numerosos libros para TASCHEN, entre los que se incluyen 1000 Chairs, Diseño del siglo XX, El diseño industrial de la A a la Z, Scandinavian Design y Diseño del siglo XXI.

"Sobre este título" puede pertenecer a otra edición de este libro.