Vector calculus is the foundation stone on which a vast amount of applied mathematics is based. Topics such as fluid dynamics, solid mechanics and electromagnetism depend heavily on the calculus of vector quantities in three dimensions. This book covers the material in a comprehensive but concise manner, combining mathematical rigour with physical insight. There are many diagrams to illustrate the physical meaning of the mathematical concepts, which is essential for a full understanding of the subject. Each chapter concludes with a summary of the most important points, and there are worked examples that cover all of the material. The final chapter introduces some of the most important applications of vector calculus, including mechanics and electromagnetism.
發表於2024-06-23
Vector Calculus 2024 pdf epub mobi 電子書 下載
書名叫嚮量微積分,就是所謂的矢量分析。目前國內的單獨成書的矢量分析並不多見。這本書講矢量分析對物理意義講的很清楚明白,在計算上引入瞭張量,但又不像一些張量分析的書讓人覺得惡心,結果是由於張量的引入讓一些矢量分析的等式的證明變得相當容易。這本書強烈推薦給學物...
評分書名叫嚮量微積分,就是所謂的矢量分析。目前國內的單獨成書的矢量分析並不多見。這本書講矢量分析對物理意義講的很清楚明白,在計算上引入瞭張量,但又不像一些張量分析的書讓人覺得惡心,結果是由於張量的引入讓一些矢量分析的等式的證明變得相當容易。這本書強烈推薦給學物...
評分寫得非常流暢,思路清晰。需要single variable calculus和一些matrix,determinants的知識
評分寫得非常流暢,思路清晰。需要single variable calculus和一些matrix,determinants的知識
評分寫得非常流暢,思路清晰。需要single variable calculus和一些matrix,determinants的知識
圖書標籤: 數學 物理 vector mathematics 嚮量 math calculus 微積分
a preface to electrodynamics
評分很好的introduction的書,適閤物理方嚮
評分simple and concise. get the job done. short enough for physics-majors to review vector calculus (e.g., before taking E&M courses)
評分Andrew shen介紹 電磁學基礎
評分最喜歡第3章對於grad、div與curl的介紹和第4章的suffix nonation。這是一本平易近人的書,大量物理實例。當然也有一些缺陷,比如對grad的理解,貌似沒有提到方嚮導數。
Vector Calculus 2024 pdf epub mobi 電子書 下載