Applied Differential Geometry (English Edition)

Applied Differential Geometry (English Edition)

作者
William L. Burke
语言
英语
电子书格式
epub,pdf,mobi,azw3,txt,fb2,djvu
下载次数
3523
更新日期
2023-08-14
运行环境
PC/Windows/Linux/Mac/IOS/iPhone/iPad/iBooks/Kindle/Android/安卓/平板
内容简介

This is a self-contained introductory textbook on the calculus of differential forms and modern differential geometry. The intended audience is physicists, so the author emphasises applications and geometrical reasoning in order to give results and concepts a precise but intuitive meaning without getting bogged down in analysis. The large number of diagrams helps elucidate the fundamental ideas. Mathematical topics covered include differentiable manifolds, differential forms and twisted forms, the Hodge star operator, exterior differential systems and symplectic geometry. All of the mathematics is motivated and illustrated by useful physical examples.

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