Introduction to Vector Fields This video discusses, 1) The definition of a vector field. 2) Examples of vector fields including the gradient, and various velocity fields. 3) The definition of a conservative vector field. 4) The definition of a potential function. 5) Test for conservative
From playlist Calculus 3
Free ebook http://tinyurl.com/EngMathYT A basic introduction to vector fields discussing the need for vector fields and some of the basic mathematics associated with them.
From playlist Engineering Mathematics
This video explains the definition of a vector space and provides examples of vector spaces.
From playlist Vector Spaces
Worldwide Calculus: Vector Fields
Lecture on 'Vector Fields' from 'Worldwide Multivariable Calculus'. For more lecture videos and $10 digital textbooks, visit www.centerofmath.org.
From playlist Integration and Vector Fields
What are Quantum Fields? | Introduction to Quantum Field Theory
In this video, we will discuss what makes a quantum field "quantum" and give a soft introduction to quantum field theory. Contents: 00:00 Introduction 03:00 Quantization 05:36 Appendix Follow us on Instagram: https://www.instagram.com/prettymuchvideo/ If you want to help us get rid of
From playlist Quantum Mechanics, Quantum Field Theory
11_7_1 Potential Function of a Vector Field Part 1
The gradient of a function is a vector. n-Dimensional space can be filled up with countless vectors as values as inserted into a gradient function. This is then referred to as a vector field. Some vector fields have potential functions. In this video we start to look at how to calculat
From playlist Advanced Calculus / Multivariable Calculus
The Fundamental Theorem of Calculus of vector fields -- Calculus III
This lecture is on Calculus III. It follows Part III of the book Calculus Illustrated by Peter Saveliev. The text of the book can be found at http://calculus123.com.
From playlist Calculus III
Fundamental theorem of line integrals. Chris Tisdell UNSW
This lecture discusses the "fundamental theorem of line integrals for gradient fields". The topic is motivated and the theorem is stated and proved. A number of examples are presented to illustrate the theory.
From playlist Vector Calculus @ UNSW Sydney. Dr Chris Tisdell
Line integrals: Fundamental theorem
Free ebook http://tinyurl.com/EngMathYT A basic lecture on the fundamental theorem of line integrals, which involves only the end-points of the path of integration. Such an idea is a generalization of the fundamental theorem of calculus for functions of one variable. Plenty of examples a
From playlist Engineering Mathematics
We DON'T Understand Magnetism (According to Quantum Mechanics) - Aharonov-Bohm Effect by Parth G
The first 1000 people to use the link will get a free trial of Skillshare Premium Membership: https://skl.sh/parthg06211 Scientists have often thought that magnetic (and electric) fields are fundamental quantities that relate to real, physical, observable things in the universe. And they
From playlist Quantum Physics by Parth G
The Fundamental Theorem of Line Integrals // Big Idea & Proof // Vector Calculus
Back in 1st year calculus we have seen the Fundamental Theorem of Calculus II, which loosely said that integrating the derivative of a function just gave the difference of the function at the endpoints. That is, what happened in the middle did not matter. In this video we upgrade to the Fu
A unified view of Vector Calculus (Stoke's Theorem, Divergence Theorem & Green's Theorem)
In the final video of my vector calculus playlist (congrats to everyone for making it to the end!!!) I want to do a bit of an overview of the major theorems we have seen in this course - Stokes' Theorem, Divergence Theorem, Green's Theorem - all are part of a unified framework. Loosely, in
The formal definition of a vector space.
From playlist Linear Algebra Done Right
Worldwide Calculus: Conservative Vector Fields
Lecture on 'Conservative Vector Fields' from 'Worldwide Multivariable Calculus'. For more lecture videos and $10 digital textbooks, visit www.centerofmath.org.
From playlist Integration and Vector Fields
Graham ELLIS - Computational group theory, cohomology of groups and topological methods 1
The lecture series will give an introduction to the computer algebra system GAP, focussing on calculations involving cohomology. We will describe the mathematics underlying the algorithms, and how to use them within GAP. Alexander Hulpke's lectures will being with some general computation
From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory
Nicola Garofalo: Hypoelliptic operators and analysis on Carnot-Carathéodory spaces
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Algebraic and Complex Geometry
What exactly is a vector? | Arithmetic and Geometry Math Foundations 30 | N J Wildberger
The notion of vector is here made completely explicit. Vectors arise in physics as forces, positions, velocities, accelerations, torques, displacements. It is useful to distinguish between points and vectors; they are different types of mathematical objects. In particular the position of a
From playlist Math Foundations
Calculus 16.3 Fundamental Theorem for Line Integrals
My notes are available at http://asherbroberts.com/ (so you can write along with me). Calculus: Early Transcendentals 8th Edition by James Stewart
From playlist Calculus