This text presents differential forms from a geometric perspective accessible at the undergraduate level. It begins with basic concepts such as partial differentiation and multiple integration and gently develops the entire machinery of differential forms. The subject is approached with the idea that complex concepts can be built up by analogy from simpler cases, which, being inherently geometric, often can be best understood visually. Each new concept is presented with a natural picture that students can easily grasp. Algebraic properties then follow. The book contains excellent motivation, numerous illustrations and solutions to selected problems.
發表於2024-11-20
A Geometric Approach to Differential Forms 2024 pdf epub mobi 電子書 下載
圖書標籤: 數學 數學分析 Math
非常有意思的一本書!所有都有圖,可視化的極緻。這裏你可以學到東西。 這本書講到瞭我的一個睏惑,就是為什麼被積函數在微積分一和多元微積分二中有那麼大的不同
評分非常有意思的一本書!所有都有圖,可視化的極緻。這裏你可以學到東西。 這本書講到瞭我的一個睏惑,就是為什麼被積函數在微積分一和多元微積分二中有那麼大的不同
評分寫得這麼簡單,看得懂又有神馬用嘛- -
評分寫得這麼簡單,看得懂又有神馬用嘛- -
評分非常有意思的一本書!所有都有圖,可視化的極緻。這裏你可以學到東西。 這本書講到瞭我的一個睏惑,就是為什麼被積函數在微積分一和多元微積分二中有那麼大的不同
A Geometric Approach to Differential Forms 2024 pdf epub mobi 電子書 下載