向量微積分

出版時間:2008-5  出版社:世界圖書出版公司  作者:馬修斯 (Matthews P.C.)  頁數:179  
Tag標簽:無  

內容概要

  Vector calculus is the fundamental language of mathematical physics. It provides a way to describe physical quantities in three-dimensional space and the way in which these quantities vary. Many topics in the physical sciences can be analysed mathematically using the techniques of vector calculus. These topics include fluid dynamics, solid mechanics and electromagnetism, all of which involve a description of vector and scalar quantities in three dimensions.  This book assumes no previous knowledge of vectors. However, it is assumed that the reader has a knowledge of basic calculus, including differentiation, integration and partial differentiation. Some knowledge of linear algebra is also required, particularly the concepts of matrices and determinants.

作者簡介

作者:(英國)馬修斯(Mattews P.C.)

書籍目錄

1. Vector Algebra1.1 Vectors and scalars1.1.1 Definition of a vector and a scalar1.1.2 Addition of vectors1.1.3 Components of a vector1.2 Dot product1.2.1 Applications of the dot product1.3 Cross product1.3.1 Applications of the cross product1.4 Scalar triple product1.5 Vector triple product1.6 Scalar fields and vector fields2. Line,Surface and Volume Integrals2.1 Applications and methods of integration2.1.1 Examples of the use of integration2.1.2 Integration by substitution2.1.3 Integration by parts2.2 Line integrals2.2.1 Introductory example: work done against a force2.2.2 Evaluation of line integrals2.2.3 Conservative vector fields2.2.4 Other forms of line integrals2.3 Surface integrals2.3.1 Introductory example:flow through a pipe2.3.2 Evaluation of surface integrals2.3.3 0lther forms of surface integrals2.4 volume integrals2.4.1 Introductory example:mass of an object with variable density2.4.2 Evaluation of volume integrals3. Gradient,Divergence and Curl3.1 Partial difierentiation and Taylor series3.1.1 Partial difierentiation3.1.2 Taylor series in more than one variable3.2 Gradient of a scalar field3.2.1 Gradientsconservative fields and potentials3.2.2 Physical applications of the gradient3.3 Divergence of a vector field3.3.1 Physical interpretation of divergence3.3.2 Laplacian of a scalar field3.4 Cllrl of a vector field3.4.1 Physical interpretation of curl3.4.2 Relation between curl and rotation3.4.3 Curl and conservative vector fields4. Suffix Notation and its Applications4.1 Introduction to suffix notation4.2 The Kronecker delta4.3 The alternating tensor4.4 Relation between ijk and ij4.5 Grad,div and curl in suffix notation4.6 Combinations of grad,div and curl4.7 Grad,div and curl applied to products of functions5. Integral Theorems5.1 Divergence theorem5.1.1 C:onservation of mass for a fluid5.1.2 Applications ofthe divergence theorem5.1.3 Related theorems linking surface and volume integrals5.2 Stokes’S theorem5.2.1 Applications of Stokes’S theorem5.2.2 Related theorems linking line and surface integrals6. Curvilinear Coordinates6.1 Orthogonal curvilinear coordinates6.2 Grad,div and curl in orthogonal curvilinear coordinate systems6.2.1 Gradient6.2.2 Divergence……7. Cartesian Tensors8. Applications of Vector CalculusSolutionsIndex

編輯推薦

《向量微積分》由世界圖書出版公司出版。

圖書封面

圖書標簽Tags

評論、評分、閱讀與下載


    向量微積分 PDF格式下載



用戶評論 (總計13條)

 
 

  •     樓上的評論極不負責任,目錄看不到是卓越的事,和這本書的好壞無關,你不曉得到實體書店去看啊?這是我見過的最好的矢量分析教材之一,書的紙張也很好,象原版書一樣。不再是世圖以前那種印得象盜版的書另外還有一本很經典的矢量分析教材,Div, Grad, Curl, and All That: An Informal Text on Vector Calculus, Fourth Edition by H. M. Schey也是非常經典,但是中國沒引進
  •     通俗易懂。第四章和第七章尤其精彩。
  •     看看英文原版開眼界,能學到些國內教材上沒有的東西。
  •     習題有點難,不過解答很詳細。
  •     看了前幾章,比較簡潔易懂。另外辟一下謠,這本書不像影印版,字跡非常清楚,紙張也可以。前面那位說印得不清楚的不知道為啥說瞎話,這種印刷如果還不清楚就沒有清楚的了。
  •     買了沒看,比較基礎。
  •     剛接觸外文書籍,看這本書剛好,就是沒有純數學化,沒有看見定理和證明,總是說明性文字
  •     書名很吸引人但是內容一般這種書國內很多沒必要買英文版。
  •     盡量別買,印刷質量太次了,都看不清楚。
  •     前幾張看得很順利,從第五章開始迷糊了
  •     兩百頁也不夠,比較薄,從外表看上去沒有太大壓力。可以學到的東西包括scalar field, vector field;grad, div, curl;tensor;etc. 閱讀更多
  •     好書,不太厚,容易閱讀。
  •     這里的目錄只顯示最前面的一小部分,關鍵的部分看不到。
 

250萬本中文圖書簡介、評論、評分,PDF格式免費下載。 第一圖書網 手機版

第五圖書網

第一圖書網(tushu007.com) @ 2017

北京pk10稳杀一码