Scalar physical quantities | Multivariable calculus

Scalar field

In mathematics and physics, a scalar field is a function associating a single number to every point in a space – possibly physical space. The scalar may either be a pure mathematical number (dimensionless) or a scalar physical quantity (with units). In a physical context, scalar fields are required to be independent of the choice of reference frame, meaning that any two observers using the same units will agree on the value of the scalar field at the same absolute point in space (or spacetime) regardless of their respective points of origin. Examples used in physics include the temperature distribution throughout space, the pressure distribution in a fluid, and spin-zero quantum fields, such as the Higgs field. These fields are the subject of scalar field theory. (Wikipedia).

Scalar field
Video thumbnail

Scalars and Vectors | Statics

https://goo.gl/e6wdj2 for more FREE video tutorials covering Engineering Mechanics (Statics & Dynamics) The objectives of this video are to review the scalar & vector concept and to do distinguish between scalars and vectors. First of all, the video gives definition of scalar & vector whe

From playlist SpoonFeedMe: Engineering Mechanics (Statics & Dynamics)

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

MATH2018 Lecture 3.2 Vector Fields

We discuss the concept of a vector field and introduce some basic tools for understanding them: divergence and curl.

From playlist MATH2018 Engineering Mathematics 2D

Video thumbnail

Multivariable Calculus | The scalar multiple of a vector.

We define scalar multiplication in the context of 2 and 3 dimensional vectors. We also present a few properties of scalar multiplication and vector addition. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist Vectors for Multivariable Calculus

Video thumbnail

Physics - Advanced E&M: Ch 1 Math Concepts (10 of 55) What is the Gradient of a Scalar?

Visit http://ilectureonline.com for more math and science lectures! In this video I will develop the equation of the gradient of a scalar in 2-D space. Next video in this series can be seen at: https://youtu.be/rZ2AQpcWHzw

From playlist PHYSICS 67 ADVANCED ELECTRICITY & MAGNETISM

Video thumbnail

MATH2018 Lecture 2.1 Extreme Values

We extend the second derivative test to find maxima and minima of functions of more than one variable.

From playlist MATH2018 Engineering Mathematics 2D

Video thumbnail

Physics - Advanced E&M: Ch 1 Math Concepts (9 of 55) What is the Gradient of a Scalar?

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the gradient of a scalar. Next video in this series can be seen at: https://youtu.be/QeQukYCLCpE

From playlist PHYSICS 67 ADVANCED ELECTRICITY & MAGNETISM

Video thumbnail

Physics 2 - Motion In One-Dimension (1 of 22) Definition

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the definition vector and the difference between a scalar and vector.

From playlist MOST POPULAR VIDEOS

Video thumbnail

Helvi Witek - The adventures of black holes: the case of quadratic gravity - IPAM at UCLA

Recorded 7 October 2021. Helvi Witek of the University of Illinois presents "The adventures of black holes: the case of quadratic gravity" at IPAM's Workshop I: Computational Challenges in Multi-Messenger Astrophysics. Abstract: With the advent of gravitational wave astronomy we are now in

From playlist Workshop: Computational Challenges in Multi-Messenger Astrophysics

Video thumbnail

What is a vector space? -- Abstract Linear Algebra 6

⭐Highly Suggested Linear Algebra books⭐ Linear Algebra, an introduction to abstract mathematics: https://amzn.to/3rkp4Wc Linear Algebra Done Right: https://amzn.to/3rkp4Wc The Manga Guide to Linear Algebra: https://amzn.to/3HnS59o A First Course in Linear Algebra: http://linear.ups.edu/ Li

From playlist Abstract Linear Algebra

Video thumbnail

General Vector Spaces and Tensors | Wrap it Up!

In this video, I will introduce general vectorspaces over fields, the dual vectorspace, the cobasis, and general tensors. Translate This Video : http://www.youtube.com/timedtext_video?ref=share&v=1ReUzrT8n_Q Notes : None yet Patreon : https://www.patreon.com/user?u=16481182 Teespring : ht

From playlist Wrap It Up!

Video thumbnail

Scalar Field

023 - Scalar Field In this video Paul Andersen explains how scalar fields can be used to show the distribution of scalar quantities. The most important scalar fields in AP Physics 2 deal with electric potential. Scalar addition can be used to combine scalar fields. Do you speak another

From playlist AP Physics 2 Videos

Video thumbnail

New Phases of N=4 SYM at Finite Chemical Potential by Oscar Dias

PROGRAM NONPERTURBATIVE AND NUMERICAL APPROACHES TO QUANTUM GRAVITY, STRING THEORY AND HOLOGRAPHY (HYBRID) ORGANIZERS: David Berenstein (University of California, Santa Barbara, USA), Simon Catterall (Syracuse University, USA), Masanori Hanada (University of Surrey, UK), Anosh Joseph (II

From playlist NUMSTRING 2022

Video thumbnail

Physics - Advanced E&M: Ch 1 Math Concepts (13 of 55) What is the Laplacian of a Scalar (Field)?

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain, develop the equation, and give examples of the Laplacian of a scalar (field). Next video in this series can be seen at: https://youtu.be/2VXFzhcGT3U

From playlist PHYSICS 67 ADVANCED ELECTRICITY & MAGNETISM

Video thumbnail

Special Relativity | Lecture 4

(April 30, 2012) Leonard Susskind moves into the topic of fields and field theory. For the most part he will focus on classical field theory, but occasionally will relate it to some of the concepts from quantum mechanics. In 1905, while only twenty-six years old, Albert Einstein publish

From playlist Lecture Collection | Special Relativity

Video thumbnail

Lie Groups and Lie Algebras: Lesson 2 - Quaternions

This video is about Lie Groups and Lie Algebras: Lesson 2 - Quaternions We study the algebraic nature of quaternions and cover the ideas of an algebra and a field. Later we will discover how quaternions fit into the description of the classical Lie Groups. NOTE: An astute viewer noted th

From playlist Lie Groups and Lie Algebras

Video thumbnail

Scalars and Vectors

This scalars and vectors physics video tutorial explains how to distinguish a scalar quantity from a vector quantity. It gives plenty of examples of scalar quantities and vector quantities. Mass, temperature, volume, distance, and speed are all scalar quantities while velocity, displacem

From playlist New Physics Video Playlist

Video thumbnail

Katy Clough - Simulating fundamental fields in strong gravity environments - IPAM at UCLA

Recorded 27 October 2021. Katy Clough of the Queen Mary University of London presents "Simulating fundamental fields in strong gravity environments: opportunities and challenges" at IPAM's Workshop II: Mathematical and Numerical Aspects of Gravitation. Abstract: Whilst stationary, asymptot

From playlist Workshop: Mathematical and Numerical Aspects of Gravitation

Related pages

Temperature | Vector-valued function | Differential form | Scalar–tensor theory | String theory | Gradient | Continuous function | Scalar field theory | Scalar (physics) | Dilaton | Number | Maxwell's equations | Higgs mechanism | Spinor | Dimension | Lepton | Riemann curvature tensor | Unit of measurement | Spontaneous symmetry breaking | Einstein tensor | Pseudoscalar | Minkowski space | Point (geometry) | Mathematics | Function (mathematics) | Distribution (mathematics) | Euclidean space | Tensor | Scalar (mathematics) | Manifold | Tensor field | Real-valued function | Euclidean vector | Vector field | Space (mathematics)