A Geometric Approach to Differential Forms pdf epub mobi txt 电子书下载 2026

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出版者:Birkhäuser Boston

作者:David Bachman

出品人:

页数:149

译者:

出版时间:2006-8-30

价格:USD 54.95

装帧:Paperback

isbn号码:9780817644994

丛书系列:

图书标签:

数学
数学分析
Math
微分形式
几何学
拓扑学
流形
数学分析
微分几何
向量场
张量
高等数学
几何方法

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具体描述

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.