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Curvature of Space and Time, with an Introduction to Geometric Analysis

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Autor:	Iva Stavrov, Täpsustamata
Lehekülgede arv:	243, Täpsustamata
Ilmumisaasta:	2021
Kauba ID:	13333366

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Toote kirjeldus: Curvature of Space and Time, with an Introduction to Geometric Analysis

This book introduces advanced undergraduates to Riemannian geometry and mathematical general relativity. The overall strategy of the book is to explain the concept of curvature via the Jacobi equation which, through discussion of tidal forces, further helps motivate the Einstein field equations. After addressing concepts in geometry such as metrics, covariant differentiation, tensor calculus and curvature, the book explains the mathematical framework for both special and general relativity. Relativistic concepts discussed include (initial value formulation of) the Einstein equations, stress-energy tensor, Schwarzschild space-time, ADM mass and geodesic incompleteness. The concluding chapters of the book introduce the reader to geometric analysis: original results of the author and her undergraduate student collaborators illustrate how methods of analysis and differential equations are used in addressing questions from geometry and relativity. The book is mostly self-contained and the reader is only expected to have a solid foundation in multivariable and vector calculus and linear algebra. The material in this book was first developed for the 2013 summer program in geometric analysis at the Park City Math Institute, and was recently modified and expanded to reflect the author's experience of teaching mathematical general relativity to advanced undergraduates at Lewis & Clark College. This book is published in cooperation with IAS/Park City Mathematics Institute.

Üldine tooteinfo: Curvature of Space and Time, with an Introduction to Geometric Analysis

Kauba ID:	13333366
Kategooria:	Majandusalased raamatud
Tootepakendite arv:	1 tk.
Paki suurus ja kaal (1):	0,3 x 0,3 x 0,1 m, 0,2 kg
Kirjastus:	American Mathematical Society
Raamatu keel:	Inglise keel
Kaane tüüp:	Pole informatsiooni
Vorming:	Traditsiooniline raamat
Tüüp:	Täpsustamata
Raamat väljavõttega:	Ei
Autor:	Iva Stavrov, Täpsustamata
Lehekülgede arv:	243, Täpsustamata
Ilmumisaasta:	2021

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