Vector calculus

Vector Analysis

Vector Analysis is a textbook by Edwin Bidwell Wilson, first published in 1901 and based on the lectures that Josiah Willard Gibbs had delivered on the subject at Yale University. The book did much to standardize the notation and vocabulary of three-dimensional linear algebra and vector calculus, as used by physicists and mathematicians. It was reprinted by Yale in 1913, 1916, 1922, 1925, 1929, 1931, and 1943. The work is now in the public domain. It was reprinted by Dover Publications in 1960. (Wikipedia).

Video thumbnail

Linear Algebra for Computer Scientists. 1. Introducing Vectors

This computer science video is one of a series on linear algebra for computer scientists. This video introduces the concept of a vector. A vector is essentially a list of numbers that can be represented with an array or a function. Vectors are used for data analysis in a wide range of f

From playlist Linear Algebra for Computer Scientists

Video thumbnail

4 Motion part 2

In this second part on Motion, we take a look at calculating the velocity and position vectors when given the acceleration vector and initial values for velocity and position. It involves as you might imagine some integration. Just remember that when calculating the indefinite integral o

From playlist Life Science Math: Vectors

Video thumbnail

1 Vectors

A short refresher on vectors. Before I introduce vector-based functions, it's important to look at vectors themselves and how they are represented in python™ and the IPython Notebook using SymPy.

From playlist Life Science Math: Vectors

Video thumbnail

Vector Calculus 1: What Is a Vector?

https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep

From playlist Vector Calculus

Video thumbnail

Multivariable Calculus | The notion of a vector and its length.

We define the notion of a vector as it relates to multivariable calculus and define its length. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist Vectors for Multivariable Calculus

Video thumbnail

What is a Vector Space? (Abstract Algebra)

Vector spaces are one of the fundamental objects you study in abstract algebra. They are a significant generalization of the 2- and 3-dimensional vectors you study in science. In this lesson we talk about the definition of a vector space and give a few surprising examples. Be sure to su

From playlist Abstract Algebra

Video thumbnail

Vector functions of one variable tutorial

Download the free PDF http://tinyurl.com/EngMathYT An introduction to the calculus of vector functions of one variable. Some simple problems are discussed, including differentiation, integration and how to determine the curve associated with a function (in this example, a helix). Such fu

From playlist Engineering Mathematics

Video thumbnail

What is a vector?

What is a vector? We gently introduce the i and j basis vectors and the idea of a column vector is presented. The algebra of addition, subtraction and scalar multiplication is discussed. Free ebook Free ebook https://bookboon.com/en/introduction-to-vectors-ebook (updated link) Take a sh

From playlist Introduction to Vectors

Video thumbnail

Scalar and vector fields | Lecture 11 | Vector Calculus for Engineers

Definition of a scalar and vector field. How to visualize a two-dimensional vector field. Join me on Coursera: https://www.coursera.org/learn/vector-calculus-engineers Lecture notes at http://www.math.ust.hk/~machas/vector-calculus-for-engineers.pdf Subscribe to my channel: http://www

From playlist Vector Calculus for Engineers

Video thumbnail

Eigendecomposition and PCA

Eigendecomposition is a technique that finds "special" vectors associated with square matrices. Eigendecomposition is the basis for many important techniques in data analysis, including principal components analyses, blind-source-separation, and other spatial filters. You'll also see a com

From playlist OLD ANTS #9) Matrix analysis

Video thumbnail

Lec 6 | MIT Finite Element Procedures for Solids and Structures, Nonlinear Analysis

Lecture 6: Formulation of finite element matrices Instructor: Klaus-Jürgen Bathe View the complete course: http://ocw.mit.edu/RES2-002S10 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT Nonlinear Finite Element Analysis

Video thumbnail

Simplified Machine Learning Workflows with Anton Antonov, Session #6: Semantic Analysis (Part 1)

Anton Antonov, a senior mathematical programmer with a PhD in applied mathematics, live-demos key Wolfram Language features that are very useful in machine learning. In this session, he discusses the Latent Semantic Analysis Workflows. Notebook materials are available at: https://wolfr.am

From playlist Simplified Machine Learning Workflows with Anton Antonov

Video thumbnail

QED Prerequisites Geometric Algebra 13 Tensors

In this lesson we make contact with the standard concept of tensors using spacetime algebra. Please consider supporting this channel on Patreon: https://www.patreon.com/XYLYXYLYX The software I usually use to produce the lectures is: https://apps.apple.com/us/app/vittle-pro-video-whit

From playlist QED- Prerequisite Topics

Video thumbnail

Mod-01 Lec-01 Introduction and Overview

Advanced Numerical Analysis by Prof. Sachin C. Patwardhan,Department of Chemical Engineering,IIT Bombay.For more details on NPTEL visit http://nptel.ac.in

From playlist IIT Bombay: Advanced Numerical Analysis | CosmoLearning.org

Video thumbnail

Deep Learning Lecture 6.3 - PCA part 2

Principal Component Analysis - PCA Algorithm - Properties of PCA - Equivalence between maximum projection variance and minimal reconstruction error - Applications to images

From playlist Deep Learning Lecture

Video thumbnail

Lec 11 | MIT Finite Element Procedures for Solids and Structures, Linear Analysis

Lecture 11: Mode superposition analysis; time history Instructor: Klaus-Jürgen Bathe View the complete course: http://ocw.mit.edu/RES2-002S10 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT Linear Finite Element Analysis

Video thumbnail

Lec 1 | MIT Finite Element Procedures for Solids and Structures, Nonlinear Analysis

Lecture 1: Introduction to nonlinear analysis Instructor: Klaus-Jürgen Bathe View the complete course: http://ocw.mit.edu/RES2-002S10 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT Nonlinear Finite Element Analysis

Video thumbnail

Vectors and matrices, multiplication, rank

This series of lecturelets is all about matrix analysis. This first lecture is necessary for all the other ones, because it provides important introductions to what can be done with matrices and vectors, how to scale and multiply them, special kinds of matrices, rank and indendence, and ot

From playlist OLD ANTS #9) Matrix analysis

Video thumbnail

2 Vector valued functions

Now that we had a quick refresher on vectors, let's look at what constitutes a vector-valued function. In this lecture I use python code to illustrate these functions.

From playlist Life Science Math: Vectors

Video thumbnail

The local ensemble transform Kalman filter - Eric Kostelich

PROGRAM: Data Assimilation Research Program Venue: Centre for Applicable Mathematics-TIFR and Indian Institute of Science Dates: 04 - 23 July, 2011 DESCRIPTION: Data assimilation (DA) is a powerful and versatile method for combining observational data of a system with its dynamical mod

From playlist Data Assimilation Research Program

Related pages

Dot product | Quaternion | Helmholtz decomposition | Complex number | Unit circle | Linear algebra | Victor Schlegel | Vector field | Vector notation | Spherical trigonometry | Triple product | Josiah Willard Gibbs | Vector calculus | Bivector (complex) | Scalar (mathematics) | Cross product | A History of Vector Analysis