دانلود کتاب An Introduction to Riemannian Geometry: With Applications to Mechanics and Relativity

Name: An Introduction to Riemannian Geometry: With Applications to Mechanics and Relativity
Availability: InStock
Author: Leonor Godinho
ISBN: 9783319086651, 9783319086668

by Leonor Godinho, José Natário (auth.)

عنوان فارسی: مقدمه ای بر هندسه ریمانی: با نرم افزار مکانیک و نسبیت
ناشر: Springer International Publishing
سال: 2014
ویرایش: 1
زبان: انگلیسی
تعداد صفحه (نسخه چاپی - نسخه الکترونیکی): 467-476
شابک: 9783319086651, 9783319086668
نوع فایل: PDF دانلود نرم افزار مطالعه
حجم: 5.00 مگابایت

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جزییات کتاب

Unlike many other texts on differential geometry, this textbook also offers interesting applications to geometric mechanics and general relativity.The first part is a concise and self-contained introduction to the basics of manifolds, differential forms, metrics and curvature. The second part studies applications to mechanics and relativity including the proofs of the Hawking and Penrose singularity theorems. It can be independently used for one-semester courses in either of these subjects.The main ideas are illustrated and further developed by numerous examples and over 300 exercises. Detailed solutions are provided for many of these exercises, making An Introduction to Riemannian Geometry ideal for self-study.