tailieunhanh - CHAPTER1: VECTOR ANALYSIS

Vector phân tích là một chủ đề toán học là tốt hơn được giảng dạy bởi các nhà toán học hơn bởi các kỹ sư. Cơ sở và các sinh viên kỹ thuật cao cấp, tuy nhiên, đã không có thời gian (hoặc có lẽ là khuynh hướng) để có một quá trình phân tích vector, mặc dù nó là khả năng là nhiều khái niệm vector tiểu học và các hoạt động đã được giới thiệu. | CHAPTER 1 VECTOR ANALYSIS Vector analysis is a mathematical subject which is much better taught by mathematicians than by engineers. Most junior and senior engineering students however have not had the time or perhaps the inclination to take a course in vector analysis although it is likely that many elementary vector concepts and operations were introduced in the calculus sequence. These fundamental concepts and operations are covered in this chapter and the time devoted to them now should depend on past exposure. The viewpoint here is also that of the engineer or physicist and not that of the mathematician in that proofs are indicated rather than rigorously expounded and the physical interpretation is stressed. It is easier for engineers to take a more rigorous and complete course in the mathematics department after they have been presented with a few physical pictures and applications. It is possible to study electricity and magnetism without the use of vector analysis and some engineering students may have done so in a previous electrical engineering or basic physics course. Carrying this elementary work a bit further however soon leads to line-filling equations often composed of terms which all look about the same. A quick glance at one of these long equations discloses little of the physical nature of the equation and may even lead to slighting an old friend. Vector analysis is a mathematical shorthand. It has some new symbols some new rules and a pitfail here and there like most new n lds and it demands concentration attention and practice. The drill problems first met at the end of Sec. should be considered an integral part of the text and should all be 1 I e-Text Main Menu Textbook Table of Contents 2 ENGINEERING ELECTROMAGNETICS worked. They should not prove to be difficult if the material in the accompanying section of the text has been thoroughly understood. It take a little longer to read the chapter this way but the investment in time will produce