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020 _a9783030478964
040 _aNISER LIBRARY
_beng
_cNISER LIBRARY
041 _aEnglish
082 _a514.82
_bGEO-M
100 _aBoskoff, Wladimir-Georges
245 _aA mathematical journey to relativity :
_bderiving special and general relativity with basic mathematics
260 _aSwitzerland :
_bSpringer,
_c2020.
300 _axxii, 397p.
490 _aUNITEXT for physics
_x2198-7882
520 _aThis 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-Lemaître-Robertson-Walker, and Gödel 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.
650 _aTheory of relativity
700 _aCapozziello, Salvatore
856 _uTable of contents
_yfile:///C:/Users/NISER%20LAB/Downloads/1%20(10).pdf
942 _2udc
_cBK
999 _c35352
_d35352