微分形式的一种几何进路
几何拓扑
2012-01-10 v2 微分几何
摘要
这是一本关于微分形式的教科书草稿。主要目标读者为传统上修读向量微积分课程的大二本科生。后面的章节会引起高年级本科生与初入研究生阶段的学生的兴趣。应用包括对 Maxwell 方程、叶状结构与接触结构，以及 DeRham 上同调的简要介绍。
关键词
引用
@article{arxiv.math/0306194,
title = {A Geometric Approach to Differential Forms},
author = {David Bachman},
journal= {arXiv preprint arXiv:math/0306194},
year = {2012}
}
备注
The existing arxiv version is an old draft. This book is currently in its second edition with Birkhauser. For the current edition the old material has been revised, and much new material has been added