Historical treatment of quaternions

A History of Vector Analysis

A History of Vector Analysis (1967) is a book on the history of vector analysis by , originally published by the University of Notre Dame Press.As a scholarly treatment of a reformation in technical communication, the text is a contribution to the history of science. In 2002, Crowe gave a talk summarizing the book, including an entertaining introduction in which he covered its publication history and related the award of a Jean Scott prize of $4000. Crowe had entered the book in a competition for "a study on the history of complex and hypercomplex numbers" twenty-five years after his book was first published. (Wikipedia).

A History of Vector Analysis
Video thumbnail

Vector spaces and subspaces

After our introduction to matrices and vectors and our first deeper dive into matrices, it is time for us to start the deeper dive into vectors. Vector spaces can be vectors, matrices, and even function. In this video I talk about vector spaces, subspaces, and the porperties of vector sp

From playlist Introducing linear algebra

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

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

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

Concept of a vector

This shows an small game that illustrates the concept of a vector. The clip is from the book "Immersive Linear Algebra" at http://www.immersivemath.com

From playlist Chapter 2 - Vectors

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

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

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

Lec 19 | MIT Finite Element Procedures for Solids and Structures, Nonlinear Analysis

Lecture 19: Beam, plate, and shell elements I 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

Deep Learning Lecture 7.2 - Slow Manifolds

Learning Slow Manifolds with Markovian methods: Introduction and learning problem.

From playlist Deep Learning Lecture

Video thumbnail

Lec 22 | MIT Finite Element Procedures for Solids and Structures, Nonlinear Analysis

Lecture 22: Demonstration using ADINA - 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

Vector Revision

Free ebook: http://tinyurl.com/EngMathYT A review of vectors for those beginning vector calculus and several variable calculus. Such problems involving vectors are seen in first year university mathematics, physics and engineering.

From playlist Engineering Mathematics

Video thumbnail

History of Mathematics - Complex Analysis Part 1: complex numbers. Oxford Maths 3rd Yr Lecture

Complex numbers pervade modern mathematics, but have not always been well understood. They first emerged in the sixteenth century from the study of polynomial equations, and were quickly recognised as useful – if slightly weird – mathematical tools. In these lectures (this is the first

From playlist Oxford Mathematics 3rd Year Student Lectures

Video thumbnail

Andreï Kolmogorov: un grand mathématicien au coeur d'un siècle tourmenté

Conférence grand public au CIRM Luminy Andreï Kolmogorov est un mathématicien russe (1903-1987) qui a apporté des contributions frappantes en théorie des probabilités, théorie ergodique, turbulence, mécanique classique, logique mathématique, topologie, théorie algorithmique de l'informati

From playlist OUTREACH - GRAND PUBLIC

Video thumbnail

IMPA in a context of international reconfiguration of mathematics – T. Roque – ICM2018

History of Mathematics Invited Lecture 19.3 IMPA’s coming of age in a context of international reconfiguration of mathematics Tatiana Roque Abstract: In the middle of the 20^{th} century, the intimate link between science, industry and the state was stimulated, in its technical-scientifi

From playlist History of Mathematics

Video thumbnail

Quaternions and Vector Calculus | Deep Dive Maths

The Cartesian unit vectors i, j and k, of Vector Calculus originated as the three imaginary numbers of a four-dimensional number called a Quaternion. Learn about the history of Quaternions and how a vector algebra war among mathematicians and physicists resulted in the banishment of Quate

From playlist Deep Dive Maths

Video thumbnail

QED Prerequisites Geometric Algebra: Introduction and Motivation

This lesson is the beginning of a significant diversion from QED prerequisites. No student needs to understand Geometric Algebra in order to begin the study of QED. However, since we have pushed the formal structure of Maxwell's Equations as far as I know how to go, I think it makes sense

From playlist QED- Prerequisite Topics

Video thumbnail

The Most Important Reason To Learn Anything

People often ask why should I learn a specific topic. In this video I discuss this question and I will also show you two math books from my collection. One is an older Calculus book that covers material usually found in courses such as Calculus 1, 2, and 3. The other is a book on Vector An

From playlist Book Reviews

Video thumbnail

Vectors: Addition and Scalar Multiplication

This is the first video of a series from the Worldwide Center of Mathematics explaining the basics of vectors. This video deals with vector notation, vector addition, and scalar multiplication. For more math videos, visit our channel or go to www.centerofmath.org

From playlist Basics: Vectors

Video thumbnail

Python Machine Learning Projects For Beginners 2023 | Machine Learning With Python | Simplilearn

🔥Artificial Intelligence Engineer Program (Discount Coupon: YTBE15): https://www.simplilearn.com/masters-in-artificial-intelligence?utm_campaign=PythonMachineLearningProjectsForBeginners2023&utm_medium=Descriptionff&utm_source=youtube 🔥Professional Certificate Program In AI And Machine Le

From playlist 🔥Machine Learning | Machine Learning Tutorial For Beginners | Machine Learning Projects | Simplilearn | Updated Machine Learning Playlist 2023

Related pages

Vector space | Alexander McAulay | Angular velocity | Dot product | Hypercomplex number | Three-dimensional space | Quaternion Society | William Rowan Hamilton | Vector Analysis | Equipollence (geometry) | Alexander Macfarlane | Hermann Grassmann | Felix Klein | Michel Chasles | Exterior algebra | Cross product | History of quaternions | Torque | Giusto Bellavitis | Josiah Willard Gibbs