Topology - Crosscaps and Handles: Oxford Mathematics 2nd Year Student Lecture
In this lecture from our 2nd year Topology course, Andre Henriques describes crosscaps and handles in a visual way. He relies both on detailed beautiful pictures, and also on precise equations. Crosscaps and handles are the building blocks of all surfaces: any compact surface can be obtain
From playlist Oxford Mathematics Student Lectures - Topology
The two-holed torus and 3-crosscaps surface | Algebraic Topology | NJ Wildberger
We describe how the two-holed torus and the 3-crosscaps surface can be given hyperbolic geometric structure. For the two-holed torus we cut it into 4 hexagons and then describe a tesselation of the hyperbolic plane (using the Beltrami Poincare model described in the previous lecture) compo
From playlist Algebraic Topology
Non-Orientable Knot Genus and the Jones Polynomial - Efstratia Kalfagianni
Efstratia Kalfagianni Michigan State University October 20, 2015 https://www.math.ias.edu/seminars/abstract?event=89714 The non-orientable genus (a.k.a crosscap number) of a knot is the smallest genus over all non-orientable surfaces spanned by the knot. In this talk, I’ll describe joint
From playlist Geometric Structures on 3-manifolds
AlgTop21: The two-holed torus and 3-crosscaps surface
We describe how the two-holed torus and the 3-crosscaps surface can be given hyperbolic geometric structure. For the two-holed torus we cut it into 4 hexagons and then describe a tesselation of the hyperbolic plane (using the Beltrami Poincare model described in the previous lecture) compo
From playlist Algebraic Topology: a beginner's course - N J Wildberger
Classification of combinatorial surfaces (II) | Algebraic Topology | NJ Wildberger
In this lecture we present the traditional proof of the classification of (two-dimensional) surfaces using a reduction to a normal or standard form. The main idea is to carefully cut and paste the polygons forming the surface in a particular way, creating crosscaps and handles. This is th
From playlist Algebraic Topology
Non-orientable surfaces---the Mobius band | Algebraic Topology 6 | NJ Wildberger
A surface is non-orientable if there is no consistent notion of right handed versus left handed on it. The simplest example is the Mobius band, a twisted strip with one side, and one edge. An important deformation gives what we call a crosscap. This is the sixth lecture in this beginner's
From playlist Algebraic Topology
AlgTop6: Non-orientable surfaces---the Mobius band
A surface is non-orientable if there is no consistent notion of right handed versus left handed on it. The simplest example is the Mobius band, a twisted strip with one side, and one edge. An important deformation gives what we call a crosscap. This is the sixth lecture in this beginner's
From playlist Algebraic Topology: a beginner's course - N J Wildberger
AlgTop18: Classification of combinatorial surfaces II
In this lecture we present the traditional proof of the most important theorem in Algebraic Topology: the classification of (two-dimensional) surfaces using a reduction to a normal or standard form. The main idea is to carefully cut and paste the polygons forming the surface in a particula
From playlist Algebraic Topology: a beginner's course - N J Wildberger
MIT 6.849 Geometric Folding Algorithms: Linkages, Origami, Polyhedra, Fall 2012 View the complete course: http://ocw.mit.edu/6-849F12 Instructor: Erik Demaine This class introduces the pita form and Alexandrov-Pogorelov Theorem. D-forms are discussed with a construction exercise, followed
From playlist MIT 6.849 Geometric Folding Algorithms, Fall 2012
Calculus 3: Vector Calculus in 3-D (18 of 35) What is a Cross Product?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is a cross product. The cross product of 2 vectors A and B is another vector C and is directed perpendicular to the plane containing A and B. Next video in the series can be seen at: htt
From playlist THE "WHAT IS" PLAYLIST
Multivariable Calculus: Cross Product
In this video we explore how to compute the cross product of two vectors using determinants.
From playlist Multivariable Calculus
A mathematics bonus. In this lecture I remind you of a way to calculate the cross product of two vector using the determinant of a matrix along the first row of unit vectors.
From playlist Physics ONE
Cross product and area of parallelogram
How to compute area of parallelogram via cross products of vectors. Free ebook https://bookboon.com/en/introduction-to-vectors-ebook (updated link) Test your understanding via a short quiz http://goo.gl/forms/v8utjHDRT3
From playlist Introduction to Vectors
Physics Ch 67.1 Advanced E&M: Review Vectors (3 of 55) Rules of Cross Product
Visit http://ilectureonline.com for more math and science lectures! To donate: http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 We will review the rules of cross products and the unit vector, and how to find the direction of the resultant vector. Next video in
From playlist PHYSICS 67.1 ADVANCED E&M VECTORS & FIELDS
The vector cross-product is another form of vector multiplication and results in another vector. In this tutorial I show you a simple way of calculating the cross product of two vectors.
From playlist Introducing linear algebra
Multivariable Calculus | Cross Product Examples
We calculate a few interesting examples/applications using the cross product. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Vectors for Multivariable Calculus
Multivariable Calculus | The Cross Product
We define the cross product, give a few examples, and state a few properties. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Vectors for Multivariable Calculus
What is the cross product of two vectors? How is it useful? Free ebook https://bookboon.com/en/introduction-to-vectors-ebook (updated link) Test your understanding via a short quiz http://goo.gl/forms/Ii3hPtwksX
From playlist Introduction to Vectors
How is i equal to square root of -1?
What is 'i'? More importantly, what is a complex number? How are complex numbers relevant to the context of other familiar numbers? Chapters: 00:00 Introduction 01:46 Logo of Reals and Rationals 02:11 Expanding real numbers 03:25 Motivation using whole (natural) numbers 06:08 Planar numb
From playlist Summer of Math Exposition 2 videos
What Exactly IS a Cross Section pt. 1: Cross Sectional Area
Today I I break the world record of longest video explaining cross sectional areas. I spend a good deal of time deriving and giving geometric arguments for the equations most textbooks would simply define for the cross sectional area if one has a single target, or sheet of targets.
From playlist What is a cross section?