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Geometry of speical relativity / Tevian Dray

By: Material type: TextTextPublication details: Boca Raton CRC Press 2021Edition: 2nd edDescription: 174pISBN:
  • 9781138063921
Subject(s): DDC classification:
  • 530.11 DRA-T
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Item type Current library Collection Shelving location Call number Status Date due Barcode Item holds
Books Books BITS Pilani Hyderabad 530 General Stack (For lending) 530.11 DRA-T (Browse shelf(Opens below)) Available 44991
Total holds: 0


"The Geometry of Special Relativity introduces special relativity that encourages readers to see beyond the formulas to the deeper geometric structure. The text treats the geometry of hyperbolas as the key to understanding special relativity. This approach replaces most standard treatments' ubiquitous [Gamma] symbol with the appropriate hyperbolic trigonometric functions. In most cases, this not only simplifies the appearance of the formulas but also emphasizes their geometric content in such a way as to make them almost obvious. Furthermore, many important relations, including the famous relativistic addition formula for velocities, follow directly from the appropriate trigonometric addition formulas. The book first describes the basic physics of special relativity to set the stage for the geometric treatment that follows. It then reviews the properties of ordinary two-dimensional Euclidean space, expressed in terms of the usual circular trigonometric functions, before presenting a similar treatment of two-dimensional Minkowski space, expressed in terms of hyperbolic trigonometric functions. After covering special relativity again from the geometric point of view, the text discusses standard paradoxes, applications to relativistic mechanics, the relativistic unification of electricity and magnetism, and further steps leading to Einstein's general theory of relativity. The book also briefly describes the further steps leading to Einstein's general theory of relativity and then explores applications of hyperbola geometry to non-Euclidean geometry and calculus, including a geometric construction of the derivatives of trigonometric functions and the exponential function

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