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eBook A History of Non-Euclidean Geometry: Evolution of the Concept of a Geometric Space ePub

eBook A History of Non-Euclidean Geometry: Evolution of the Concept of a Geometric Space ePub

by Boris A. Rosenfeld

  • ISBN: 3540964584
  • Category: Mathematics
  • Subcategory: Math Science
  • Author: Boris A. Rosenfeld
  • Language: English
  • Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K (December 31, 1988)
  • Pages: 471
  • ePub book: 1136 kb
  • Fb2 book: 1402 kb
  • Other: docx azw mobi doc
  • Rating: 4.2
  • Votes: 743

Description

This book is an investigation of the mathematical and philosophical factors underlying the discovery of the concept of. .

This book is an investigation of the mathematical and philosophical factors underlying the discovery of the concept of noneuclidean geometries, and the subsequent extension of the concept of space. Chapters one through five are devoted to the evolution of the concept of space, leading up to chapter six which describes the discovery of noneuclidean geometry, and the corresponding broadening of the concept of space. The author goes on to discuss concepts such as multidimensional spaces and curvature, and transformation groups.

The importance of the discovery of non-Euclidean geometry goes far beyond th. The importance of the discovery of non-Euclidean geometry goes far beyond the limits of geometry itself. It is safe to say that it was a turning point in the history of all mathematics. The scientific revolution of the seventeenth century marked the transition from "mathematics of constant magnitudes" to "mathematics of variable magnitudes.

Электронная книга "A History of Non-Euclidean Geometry: Evolution of the Concept of a Geometric Space", Boris A. Rosenfeld. Эту книгу можно прочитать в Google Play Книгах на компьютере, а также на устройствах Android и iOS. Выделяйте текст, добавляйте закладки и делайте заметки, скачав книгу "A History of Non-Euclidean Geometry: Evolution of the Concept of a Geometric Space" для чтения в офлайн-режиме.

This item:A History of Non-Euclidean Geometry. In conclusion, in the space of only two pages, Rosenfeld has sent us on two wild goose chases for proofs that do not in fact exist. That is unacceptable for a reference work. Only 1 left in stock (more on the way).

This book is an investigation of the mathematical and philosophical factors underlying the discovery of the concept of.

Lobacevskian Geometry. Multidimensional Spaces. The Curvature of Space. Foundations of Euclidean and non-Euclidean geometry, Richard L. Faber. Bibliography of non-Euclidean geometry : including the theory of parallels, the foundation of geometry,. Groups of Transformations. Application of Algebras. Fei Ou pai ji he xue. Explore.

History of Analytic Geometry by Carl B. Concepts of non-Euclidean geometry. The Elements, a book which was to. sections on the geometry of physical space. Rosenfeld, A History of Non-Euclidean Geometry: Evolution of the Concept of a Geometric Space, English translation Springer-Verlag, 1988, p. models the concepts of non-Euclidean. which he reformulated the whole concept of geometry which he saw as a space.

This book covers the evolution of the concept of space. Описание: This unique book overturns our ideas about non-Euclidean geometry and the fine-structure constant, and attempts to solve long-standing mathematical problems. It describes the discovery of noneuclidean geometry, and the corresponding broadening of the concept of space. It describes a general theory of 'recursive' hyperbolic functions based on the 'Mathematics of Harmony,' and the 'golden,' 'silver,' and other 'metallic' proportions. Then, these theories are used to derive an original solution to Hilbert's Fourth Problem for hyperbolic and spherical geometries.

Spherical geometry is the geometry of the two-dimensional . A history of non-Euclidean geometry : evolution of the concept of a geometric space. New York: Springer-Verlag. p. 2. ISBN 0-387-96458-4.

Spherical geometry is the geometry of the two-dimensional surface of a sphere. It is an example of a geometry that is not Euclidean. The book of unknown arcs of a sphere written by the Islamic mathematician Al-Jayyani is considered to be the first treatise on spherical trigonometry The book On Triangles by Regiomontanus, written around 1463, is the first pure trigonometrical work in Europe.

2. The Theory of Parallels. 3. Geometric Transformations. 4. Geometric Algebra and the Prehistory of Multidimensional Geometry. 5. Philosophy of Space. 6. Lobacevskian Geometry. 7. 8. 9. 10.