This book provides General Relativity problems to be tackled both analytically and symbolically-numerically with the Mathematica software. This book provides General Relativity problems to be tackled both analytically and symbolica...Lasīt vairāk
This book provides General Relativity problems to be tackled both analytically and symbolically-numerically with the Mathematica software. In the first case, the reader is guided in setting up the appropriate solutions. In the second case, the rea...Lasīt vairāk
The groups of rotations and Lorentz transformations are also examined as a transition to relativistic quantum physics.This text is aimed at graduate students of physics and mathematics seeking an advanced introduction to special relativity and relat...Lasīt vairāk
The 2nd edition of this textbook features more than 100 pages of new material, including four new chapters, as well as an improved discussion of differential geometry concepts and their applications....Lasīt vairāk
Building on the success of the first edition, the book offers a more in-depth analysis of mathematical aspects, conceptual foundations, and practical implications related to the dS group, including its Lie manifold, Lie algebra, and co-adjoint orbit...Lasīt vairāk
Sērija : Mathematical Sciences Research Institute Publications
(Izdošanas datums: 10-Apr-2025, Hardback, Izdevniecība: Cambridge University Press, ISBN-13: 9781107079939)
This book introduces and explores some of the deep connections between Einsteins theory of gravitation and differential geometry. As an outgrowth of graduate summer schools, the presentation is aimed at graduate students in mathematics and mathemati...Lasīt vairāk
The book will appeal to graduate students and researchers in mathematics and mathematical physics interested in the connections between geometric analysis and general relativity. It builds a bridge from foundational coursework to more specialized res...Lasīt vairāk
This book systematically develops the mathematical foundations of the theory of relativity and links them to physical relations. For this purpose, differential geometry on manifolds is introduced first, including differentiation and integration, a...Lasīt vairāk
The 2nd edition of this textbook features more than 100 pages of new material, including four new chapters, as well as an improved discussion of differential geometry concepts and their applications....Lasīt vairāk
Considering how math can drive and sometimes even anticipate discoveries in physics, one of the worlds preeminent mathematicians examines such phenomena as black holes, gravitational waves and the Big Bang, offering an eye-opening look into the powe...Lasīt vairāk
Building on the success of the first edition, the book offers a more in-depth analysis of mathematical aspects, conceptual foundations, and practical implications related to the dS group, including its Lie manifold, Lie algebra, and co-adjoint orbit...Lasīt vairāk
This book contains a self-consistent treatment of a geometric averaging technique, induced by the Ricci flow, that allows comparing a given (generalized) Einstein initial data set with another distinct Einstein initial data set, both supported o...Lasīt vairāk
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This book reviews the construction of elementary systems living in de Sitter (dS) spacetime, in both the classical and quantum senses. Field theories on dS spacetime are among the most studied mathematical models of the Universe, whether for its earl...Lasīt vairāk
Despite successes of modern physics, the existence of dark energy and matter is indicative that conventional mechanical accounting is lacking. The most basic of all mechanical principles is Newtons second law, and conventionally, energy is just ener...Lasīt vairāk
This book is intended for undergraduate and graduate students in physics, engineering, astronomy, applied mathematics and for researchers working in related subjects....Lasīt vairāk
This book is intended for undergraduate and graduate students in physics, engineering, astronomy, applied mathematics and for researchers working in related subjects....Lasīt vairāk
This book systematically develops the mathematical foundations of the theory of relativity and links them to physical relations. For this purpose, differential geometry on manifolds is introduced first, including differentiation and integration, a...Lasīt vairāk
This book offers a systematic exposition of conformal methods and how they can be used to study the global properties of solutions to the equations of Einsteins theory of gravity. This title, first published in 2016, has been reissued as an Open Acc...Lasīt vairāk
(Izdošanas datums: 09-Feb-2023, Hardback, Izdevniecība: Cambridge University Press, ISBN-13: 9781009291347)
This book offers a systematic exposition of conformal methods and how they can be used to study the global properties of solutions to the equations of Einsteins theory of gravity. This title, first published in 2016, has been reissued as an Open Acc...Lasīt vairāk
This book contains a self-consistent treatment of a geometric averaging technique, induced by the Ricci flow, that allows comparing a given (generalized) Einstein initial data set with another distinct Einstein initial data set, both supported o...Lasīt vairāk
