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Hyperbolic Triangle Centers: The Special Relativistic Approach (Fundamental Theories of Physics Book 166) by A.A. Ungar (auth.) is a nonfiction available to read on EtoBox.

What is Hyperbolic Triangle Centers: The Special Relativistic Approach (Fundamental Theories of Physics Book 166) about?

After A. Ungar had introduced vector algebra and Cartesian coordinates into hyperbolic geometry in his earlier books, along with novel applications in Einstein’s special theory of relativity, the purpose of his new book is to introduce hyperbolic barycentric coordinates, another important concept to embed Euclidean geometry into hyperbolic geometry. It will be demonstrated that, in full analogy to classical mechanics where barycentric coordinates are related to the Newtonian mass, barycentric coordinates are related to the Einsteinian relativistic mass in hyperbolic geometry. Contrary to general belief, Einstein’s relativistic mass hence meshes up extraordinarily well with Minkowski’s four-vector formalism of special relativity. In Euclidean geometry, barycentric coordinates can be used to determine various triangle centers. While there are many known Euclidean triangle centers, only few hyperbolic triangle centers are known, and none of the known hyperbolic triangle centers has been determined analytically with respect to its hyperbolic triangle vertices. In his recent research, the author set the ground for investigating hyperbolic triangle centers via hyperbolic barycentric coor

Who reads Hyperbolic Triangle Centers: The Special Relativistic Approach (Fundamental Theories of Physics Book 166)?

Author

A.A. Ungar (auth.)

Publisher

Springer Netherlands : Imprint : Springer

Published

2010

Language

EN

ISBN

9781282928770

Category

nonfiction

Subjects

Science, Mathematics, Engineering