Name: Curvature of Space and Time, With an Introduction to Geometric Analysis (Student Mathematical Library) (en Inglés)
Price: 71.82 USD
Availability: InStock
Author: Iva Stavrov
ISBN: 9781470456283

portada Curvature of Space and Time, With an Introduction to Geometric Analysis (Student Mathematical Library) (en Inglés)

Formato

Libro Físico

Editorial

American Mathematical Society

Autor

Iva Stavrov

Año

2020

Idioma

Inglés

N° páginas

243

Encuadernación

Tapa Blanda

ISBN13

9781470456283

Curvature of Space and Time, With an Introduction to Geometric Analysis (Student Mathematical Library) (en Inglés)

Iva Stavrov (Autor) · American Mathematical Society · Tapa Blanda

Libro Nuevo

$ 71.82

$ 75.81

Ahorras: $ 3.99

5% descuento

Envío normal

Se enviará desde nuestra bodega entre el Miércoles 15 de Mayo y el Viernes 17 de Mayo.

Lo recibirás en cualquier lugar de Estados Unidos entre 1 y 3 días hábiles luego del envío.

Reseña del libro "Curvature of Space and Time, With an Introduction to Geometric Analysis (Student Mathematical Library) (en Inglés)"

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.