A surface, as the term is most generally used, is the outermost or uppermost layer of a physical object or space. It is the portion or region of the object that can first be perceived by an observer using the senses of sight and touch, and is the portion with which other materials first interact. The surface of an object is more than "a mere geometric solid", but is "filled with, spread over by, or suffused with perceivable qualities such as color and warmth". The concept of surface has been abstracted and formalized in mathematics, specifically in geometry. Depending on the properties on which the emphasis is given, there are several non equivalent such formalizations, that are all called surface, sometimes with some qualifier, such as algebraic surface, smooth surface or fractal surface. The concept of surface and its mathematical abstraction are both widely used in physics, engineering, computer graphics, and many other disciplines, primarily in representing the surfaces of physical objects. For example, in analyzing the aerodynamic properties of an airplane, the central consideration is the flow of air along its surface. The concept also raises certain philosophical questions—for example, how thick is the layer of atoms or molecules that can be considered part of the surface of an object (i.e., where does the "surface" end and the "interior" begin), and do objects really have a surface at all if, at the subatomic level, they never actually come in contact with other objects. (Wikipedia).
From playlist Surface integrals
In the first mini-lecture, we ask the question: what is surface anatomy? We learn how anatomy is the study of the structure of our bodies, including osteology, histology, gross anatomy, imaging, embryology and indeed surface anatomy. As you might imagine, surface anatomy studies the extern
From playlist Biology
From playlist Surface integrals
Surface Area of Prisms and Pyramids
This video is about finding the Surface Area of Prisms and Pyramids
From playlist Surface Area and Volume
This video defines a cylindrical surface and explains how to graph a cylindrical surface. http://mathispower4u.yolasite.com/
From playlist Quadric, Surfaces, Cylindrical Coordinates and Spherical Coordinates
Three dimensional vector field
From playlist Surface integrals
MATH331: Riemann Surfaces - part 1
We define what a Riemann Surface is. We show that PP^1 is a Riemann surface an then interpret our crazy looking conditions from a previous video about "holomorphicity at infinity" as coming from the definition of a Riemann Surface.
From playlist The Riemann Sphere
From playlist Surface integrals
Zero mean curvature surfaces in Euclidean and Lorentz-Minkowski....(Lecture 3) by Shoichi Fujimori
Discussion Meeting Discussion meeting on zero mean curvature surfaces (ONLINE) Organizers: C. S. Aravinda and Rukmini Dey Date: 07 July 2020 to 15 July 2020 Venue: Online Due to the ongoing COVID-19 pandemic, the original program has been canceled. However, the meeting will be conduc
From playlist Discussion Meeting on Zero Mean Curvature Surfaces (Online)
Zero mean curvature surfaces in Euclidean and Lorentz-Minkowski....(Lecture 1) by Shoichi Fujimori
Discussion Meeting Discussion meeting on zero mean curvature surfaces (ONLINE) Organizers: C. S. Aravinda and Rukmini Dey Date: 07 July 2020 to 15 July 2020 Venue: Online Due to the ongoing COVID-19 pandemic, the original program has been canceled. However, the meeting will be conduct
From playlist Discussion Meeting on Zero Mean Curvature Surfaces (Online)
Mod-01 Lec-11 Surface Effects and Physical properties of nanomaterials
Nanostructures and Nanomaterials: Characterization and Properties by Characterization and Properties by Dr. Kantesh Balani & Dr. Anandh Subramaniam,Department of Nanotechnology,IIT Kanpur.For more details on NPTEL visit http://nptel.ac.in.
From playlist IIT Kanpur: Nanostructures and Nanomaterials | CosmoLearning.org
Complex surfaces 1: Introduction
This talk is part of a series giving an informal survey of complex algebraic surfaces. We give an overview of the Enriques-Kodaira classification, with examples of most of the different types of surfaces. We conclude by giving an example of a non-algebraic surface: the Hopf surface. Furth
From playlist Algebraic geometry: extra topics
Minimal surfaces in R^3 and Maximal surfaces in L^3 (Lecture 3) by Pradip Kumar
ORGANIZERS : C. S. Aravinda and Rukmini Dey DATE & TIME : 16 June 2018 to 25 June 2018 VENUE : Madhava Lecture Hall, ICTS, Bangalore This workshop on geometry and topology for lecturers is aimed for participants who are lecturers in universities/institutes and colleges in India. This w
From playlist Geometry and Topology for Lecturers
Complex surfaces 5: Kodaira dimension 0
This talk is an informal survey of the complex projective surfaces of Kodaira number 0. We first explain why there are 4 types of such surfaces (Enriques, K3, hyperelliptic, and abelian) and then give a few examples of each type.
From playlist Algebraic geometry: extra topics
Surface Integrals of Scalar and Vector Fields/Functions
In this video we show how to calculate a surface integral of both scalar and vector functions. A surface integral can be used to compute parameters such as the surface area, total mass, volumetric flow rate, and other quantities. Topics and timestamps: 0:00 – Introduction 1:32 – Surface
From playlist Calculus
23: Scalar and Vector Field Surface Integrals - Valuable Vector Calculus
Video on scalar field line integrals: https://youtu.be/WVQgEeZY_l0 Vector field line integrals: https://youtu.be/0TC4QEE56oc Video on double integrals: https://youtu.be/9AHXnRpF0n8 An explanation of how to calculate surface integrals in scalar and vector fields. We go over where the form
From playlist Valuable Vector Calculus
Light and Optics 5_1 Refractive Surfaces
The bending of light rays at the interface of refracting surfaces.
From playlist Physics - Light and Optics
Rebekah Palmer: Totally Geodesic Surfaces in Knot Complements with Small Crossing Number
Rebekah Palmer, Temple University Title: Totally Geodesic Surfaces in Knot Complements with Small Crossing Number Studying totally geodesic surfaces has been essential in understanding the geometry and topology of hyperbolic 3-manifolds. Recently, Bader-Fisher-Miller-Stover showed that con
From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022