TitleA Mathematical Journey to Relativity : Deriving Special and General Relativity with Basic Mathematics
Author(s)Boskoff, Wladimir-Georges;Capozziello, Salvatore
PublicationCham, Springer International Publishing, 2020.
DescriptionXXII, 397 p. 44 illus., 6 illus. in color : online resource
Abstract NoteThis book opens with an axiomatic description of Euclidean and non-Euclidean geometries. Euclidean geometry is the starting point to understand all other geometries and it is the cornerstone for our basic intuition of vector spaces. The generalization to non-Euclidean geometry is the following step to develop the language of Special and General Relativity. These theories are discussed starting from a full geometric point of view. Differential geometry is presented in the simplest way and it is applied to describe the physical world. The final result of this construction is deriving the Einstein field equations for gravitation and spacetime dynamics. Possible solutions, and their physical implications are also discussed: the Schwarzschild metric, the relativistic trajectory of planets, the deflection of light, the black holes, the cosmological solutions like de Sitter, Friedmann-Lema??tre-Robertson-Walker, and G??del ones. Some current problems like dark energy are also scketched. The book is self-contained and includes details of all proofs. It provides solutions or tips to solve problems and exercises. It is designed for undergraduate students and for all readers who want a first geometric approach to Special and General Relativity
ISBN,Price9783030478940
Keyword(s)1. Classical and Quantum Gravitation, Relativity Theory 2. DIFFERENTIAL GEOMETRY 3. EBOOK 4. EBOOK - SPRINGER 5. GRAVITATION 6. Mathematical Methods in Physics 7. MATHEMATICAL PHYSICS 8. PHYSICS 9. QUANTUM PHYSICS 10. Theoretical, Mathematical and Computational Physics
Item TypeeBook
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Accession#  Call#StatusIssued ToReturn Due On Physical Location
I08812     On Shelf