Here, we'll review some basic features of vectors and consider vector equations of straight lines, curves and surfaces. Then we'll look at some introductory aspects of vector calculus and their application to kinematics and elasticity theory....
课程包括:微积分、线性代数、张量分析、偏微分方程、向量微积分等。均分为生肉版本和中英字幕版本发布,可于个人主页/个人收藏夹查找。张量部分包括:A Vector Calculus Challenge;Introduction to Tensor Calculus;Vector Calculus 知识 校园学习 线性代数 张量分析 矢量微积分 打卡挑战...
Calculating the length or magnitude of vectors is often required either directly as a regularization method in machine learning, or as part of broader vector or matrix operations. In this tutorial, you will discover the different ways to calculate vector lengths or magnitudes, called the vector nor...
The goal of Electrodynamics: An Introduction is to not only teach electromagnetism but also introduce some mathematical tools which can be used to solve problems in the subject. Within these lecture notes, we review vector calculus and explain how to use fields to visualize the topics we cover....
Let me connect these special matrices A and S to calculus. The vector x changes to a function x(t). The differences Ax become the derivative dx/ dt = bet). In the inverse direction, the sum Sb becomes the integral of bet). (查看原文) ...
4.3 Differential Forms as Multilinear Functions on Vector Fields 4.4 The Exterior Derivative 4.5 Closed Forms and Exact Forms 4.6 Applications to Vector Calculus 4.7 Convention on Subscripts and Superscripts Problems Chapter 2 Manifolds 5 Manifolds ...
Introduction to ElectrodynamicsR. D. ReeceNovember 2, 20051 Vector Calculus1.1 DenitionsVector Addition:A + B ≡ (Ax + Bx ) + (Ay + By ) + (Az + Bz )x y z (1)Multiplication by a scalar:φA ≡φAx x + φAy y + φAz z (2)Dot or Scalar Product:A·B = Ax B x + Ay ...
I Introduction: Vectors and Tensors.- Three-Dimensional Euclidean Space.- Directed Line Segments.- Addition of Two Vectors.- Multiplication of a Vector v b... JG Simmonds - SPRINGER-VERLAG 被引量: 199发表: 1982年 Introduction to Vectors and Tensors: Second Edition--Two Volumes Bound as One...