Abraham a ungar (10 Ergebnisse)

Zustand: New. In English.

Hardcover. Zustand: Sehr gut. Dordrecht, Kluwer 2001. gr.8°. Some figs. XLII, 413 p. Hardbound. Fundamental Theorie of Physics.- Margin slightly browned, otherwise in very good condition.

Paperback. Zustand: Brand New. 461 pages. 9.20x6.10x1.05 inches. In Stock.

Zustand: New. Series: Fundamental Theories of Physics. Num Pages: 461 pages, 25 black & white illustrations, biography. BIC Classification: PDE; TBJ. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 24. Weight in Grams: 981. . 2001. Paperback. . . . . Books ship from the US and Ireland.…

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 'I cannot define coincidence [in mathematics]. But 1 shall argue that coincidence can always be elevated or organized into a superstructure which perfonns a unification along the coincidental elements. The existence of a coincidence is strong evidence for the existence of a covering theory. ' -Philip 1. Davis [Dav81] Alluding to the Thomas gyration, this book presents the Theory of gy rogroups and gyrovector spaces, taking the reader to the immensity of hyper bolic geometry that lies beyond the Einstein special theory of relativity. Soon after its introduction by Einstein in 1905 [Ein05], special relativity theory (as named by Einstein ten years later) became overshadowed by the ap pearance of general relativity. Subsequently, the exposition of special relativity followed the lines laid down by Minkowski, in which the role of hyperbolic ge ometry is not emphasized. This can doubtlessly be explained by the strangeness and unfamiliarity of hyperbolic geometry [Bar98]. The aim of this book is to reverse the trend of neglecting the role of hy perbolic geometry in the special theory of relativity, initiated by Minkowski, by emphasizing the central role that hyperbolic geometry plays in the theory.…

Hardcover. Zustand: Brand New. 1st edition. 319 pages. 9.25x6.25x1.00 inches. In Stock.

Zustand: New. Evidence that Einstein's addition is regulated by the Thomas precession has come to light, turning the notorious Thomas precession, previously considered the ugly duckling of special relativity theory, into the beautiful swan of gyrogroup and gyrovector space theory. Series: Fundamental Theories of Physics. Num Pages: 464 pages, biography. BIC Classification: PHR. Category: (G) General (US: Trade); (P) Professional & Vocational. Dimension: 235 x 155 x 23. Weight in Grams: 1430. . 2001. New ed. Paperback. . . . . Books ship from the US and Ireland. …

Hardcover. Zustand: Brand New. 463 pages. 9.00x6.25x1.25 inches. In Stock.

Zustand: New. In English.

Buch. Zustand: Neu. Neuware - This is the first book on analytic hyperbolic geometry, fully analogous to analytic Euclidean geometry. Analytic hyperbolic geometry regulates relativistic mechanics just as analytic Euclidean geometry regulates classical mechanics. The book presents a novel gyrovector space approach to analytic hyperbolic geometry, fully analogous to the well-known vector space approach to Euclidean geometry. A gyrovector is a hyperbolic vector. Gyrovectors are equivalence classes of directed gyrosegments that add according to the gyroparallelogram law just as vectors are equivalence classes of directed segments that add according to the parallelogram law. In the resulting 'gyrolanguage' of the book one attaches the prefix 'gyro' to a classical term to mean the analogous term in hyperbolic geometry. The prefix stems from Thomas gyration, which is the mathematical abstraction of the relativistic effect known as Thomas precession. Gyrolanguage turns out to be the language one needs to articulate novel analogies that the classical and the modern in this book share.The scope of analytic hyperbolic geometry that the book presents is cross-disciplinary, involving nonassociative algebra, geometry and physics. As such, it is naturally compatible with the special theory of relativity and, particularly, with the nonassociativity of Einstein velocity addition law. Along with analogies with classical results that the book emphasizes, there are remarkable disanalogies as well. Thus, for instance, unlike Euclidean triangles, the sides of a hyperbolic triangle are uniquely determined by its hyperbolic angles. Elegant formulas for calculating the hyperbolic side-lengths of a hyperbolic triangle in terms of its hyperbolic angles are presented in the book.The book begins with the definition of gyrogroups, which is fully analogous to the definition of groups. Gyrogroups, both gyrocommutative and non-gyrocommutative, abound in group theory. Surprisingly, the seemingly structureless Einstein velocity addition of special relativity turns out to be a gyrocommutative gyrogroup operation. Introducing scalar multiplication, some gyrocommutative gyrogroups of gyrovectors become gyrovector spaces. The latter, in turn, form the setting for analytic hyperbolic geometry just as vector spaces form the setting for analytic Euclidean geometry. By hybrid techniques of differential geometry and gyrovector spaces, it is shown that Einstein (Möbius) gyrovector spaces form the setting for Beltrami-Klein (Poincaré) ball models of hyperbolic geometry. Finally, novel applications of Möbius gyrovector spaces in quantum computation, and of Einstein gyrovector spaces in special relativity, are presented.…