| 书目名称 | Vector Analysis Versus Vector Calculus |
| 编辑 | Antonio Galbis,Manuel Maestre |
| 视频video | |
| 概述 | Presents a precise and rigorous exposition of Stokes‘ theorem.Takes a differential geometric point of view on vector calculus and analysis.Designed as a textbook for upper-undergraduate students, and |
| 丛书名称 | Universitext |
| 图书封面 |  |
| 描述 | .The aim of this book is to facilitate the use of Stokes‘ Theorem in applications. The text takes a differential geometric point of view and provides for the student a bridge between pure and applied mathematics by carefully building a formal rigorous development of the topic and following this through to concrete applications in two and three variables. Several practical methods and many solved exercises are provided. This book tries to show that vector analysis and vector calculus are not always at odds with one another. . .Key topics include:.-vectors and vector fields;.-line integrals;.-regular k-surfaces;.-flux of a vector field;.-orientation of a surface;.-differential forms;.-Stokes‘ theorem;.-divergence theorem.. .This book is intended for upper undergraduate students who have completed a standard introduction to differential and integral calculus for functions of several variables. The book can also be useful to engineering and physicsstudents who know how to handle the theorems of Green, Stokes and Gauss, but would like to explore the topic further.. |
| 出版日期 | Textbook 2012 |
| 关键词 | Stokes‘ theorem; differential form; integration on surfaces; line integrals; orientation of a surface; re |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-1-4614-2200-6 |
| isbn_softcover | 978-1-4614-2199-3 |
| isbn_ebook | 978-1-4614-2200-6Series ISSN 0172-5939 Series E-ISSN 2191-6675 |
| issn_series | 0172-5939 |
| copyright | Springer Science+Business Media, LLC 2012 |
发表于 2025-3-21 16:30:21
