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WHAT'S A STATE SPACE? | INTRO and EXAMPLES | STATE SPACE OF TWEETS | - Duration: 19 minutes.
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The Tweet Number: How many Tweets are Possible? Part 1 - Duration: 26 minutes.
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Pacific Ocean Park in the Fifties Walking Tour.wmv - Duration: 12 minutes.
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MONTY HALL PROBLEM VER 2 - Duration: 12 minutes.
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MATHVIEW CHANNEL ON YOUTUBE INTRO VER 3 - Duration: 18 minutes.
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Mathview Videos Google Page Rank 2013 - Duration: 10 minutes.
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Intro to Maxwell's Electromagnetic Theory Part 1 Vector Calculus of grad div and curl - Duration: 20 minutes.
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Intro to Maxwell's Electrodynamics Part 2, Vector Calculus, Topological (non-geometric) Time - Duration: 20 minutes.
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Mathview YouTube Video Views per Capita Around the World 2013 - Duration: 10 minutes.
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Multi-variable Taylor Series for F(x,y,z) - Duration: 4 minutes, 38 seconds.
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What is a function Update Part 1 - Duration: 12 minutes.
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Continuity 3B The Topological Space of Real Numbers - Duration: 22 minutes.
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Exterior Algebra aka Grassmann Algebra and the Wedge Product
Here we construct the Exterior or Grassmann Algebra for a given Vector Space. (This is also sometimes called Multivector Algebra.) Then we examine differentials and vector spaces composed of differentials.-
Exterior Algebra Part 1.wmv - Duration: 25 minutes.
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The Exterior Algebra Part 2.wmv - Duration: 16 minutes.
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An Algebra of Differentials Part 1 - Duration: 17 minutes.
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An Algebra of Differentials Part 2 Closure of Addition - Duration: 11 minutes.
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Vector differentials Part 1B - Duration: 18 minutes.
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Vector Differentials Part 2 2 - Duration: 22 minutes.
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Covariant and Contravariant Components of a Vector
Videos 1 and 2 of this playlist concern a simple geometric example in which covariant and contravariant components of a two dimensional vector are constructed.
Videos 3 and 4 of this playlist are animations of the covariant and contravariant components of a 2D vector in oblique (non-orthogonal) coordinate systems. The animation shows how the components of a given vector change when the oblique angle of coordinate axes changes.
Videos 5 and 6 in this playlist review the theory of linear spaces (vector spaces) and introduce the dual space V* of a vector space V.-
What are Contravariant and Covariant Components of a Vector? Part 1 - Duration: 8 minutes, 57 seconds.
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What are Contravariant and Covariant Components of a Vector? Part 2 - Duration: 10 minutes.
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VectorCovariantContravariantAnimationPart2.wmv - Duration: 4 minutes, 39 seconds.
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Covariant Coordinates of Vectors Pt1.wmv - Duration: 3 minutes, 27 seconds.
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Linear Spaces for Manifolds Part 1.wmv - Duration: 20 minutes.
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Dual Space of Linear Functionals.wmv - Duration: 22 minutes.
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Analytical Weapons
Analytical Weapons: Problem Solving and Mathematical Thinking. A collection of useful mathematical tools, techniques, examples. Mathematics Education-
How Do I Use the Wedge Product.wmv - Duration: 10 minutes.
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GeometryTensorAlgebraPt1.wmv - Duration: 10 minutes.
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ExteriorAlgebraWedgesDifferentialFormPt1.wmv - Duration: 10 minutes.
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Rotation Operators 3D Part1.wmv - Duration: 14 minutes.
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RotationOperatorsBasisSystems.wmv - Duration: 13 minutes.
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Covariant DerivativePt3A.wmv - Duration: 10 minutes.
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CovariantDerivativePart4Cont.wmv - Duration: 8 minutes, 7 seconds.
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TenHandyFormulasVER2.wmv - Duration: 10 minutes.
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Taylor's Theorem the Fast and Easy Way. - Duration: 6 minutes, 48 seconds.
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How do I get the arc length from the metric tensor? Geometry Part 5 - Duration: 10 minutes.
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Integrate the Planck Function Part 1 - Duration: 8 minutes, 20 seconds.
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Integrating the Planck Function Part 2 - Duration: 8 minutes, 52 seconds.
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Differential Geometry Part 1
Covariant and Contravariant Components of a Vector | Transformations and the Metric Tensor | Vector Fields and Tensors | Arc Length from the Metric Tensor | Animations of Dual Basis Coordinates-
What are Contravariant and Covariant Components of a Vector? Part 1 - Duration: 8 minutes, 57 seconds.
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What are Contravariant and Covariant Components of a Vector? Part 2 - Duration: 10 minutes.
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Differential Geometry Part 3 Transformations and the Metric Tensor - Duration: 10 minutes.
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Vector Fields and Tensors Differential Geometry Part 4 - Duration: 10 minutes.
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How do I get the arc length from the metric tensor? Geometry Part 5 - Duration: 10 minutes.
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CovariantContravarianBasisAnimation.wmv - Duration: 63 seconds.
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VectorCovariantContravariantAnimationPart2.wmv - Duration: 4 minutes, 39 seconds.
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Differentials101.wmv - Duration: 14 minutes.
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Popular uploads
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What are Contravariant and Covariant Components of a Vector? Part 1 - Duration: 8 minutes, 57 seconds.
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Vector Fields and Tensors Differential Geometry Part 4 - Duration: 10 minutes.
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What are Taylor Series? Part 1 - Duration: 10 minutes.
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What are Contravariant and Covariant Components of a Vector? Part 2 - Duration: 10 minutes.
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Differential Geometry Part 3 Transformations and the Metric Tensor - Duration: 10 minutes.
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What's the Gamma Function? - Duration: 9 minutes, 53 seconds.
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Taylor's Theorem the Fast and Easy Way. - Duration: 6 minutes, 48 seconds.
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Manifolds Part 1.wmv - Duration: 22 minutes.
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How To Use the Covariant Derivative Part 1 - Duration: 10 minutes.
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How do I get the arc length from the metric tensor? Geometry Part 5 - Duration: 10 minutes.
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Top Ten Theorems: Metric Geometry Part 1 - Duration: 9 minutes, 35 seconds.
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Metric Tensor Part 1.wmv - Duration: 17 minutes.
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Entry Level but Interesting
Easy, Accessible, Interesting questions and problems from analysis algebra geometry.-
GaussianIntegral2ndEd.wmv - Duration: 6 minutes, 10 seconds.
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WhatsTheGammaFunctionPart1.wmv - Duration: 6 minutes, 48 seconds.
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Gamma of One Half Equals What?? - Duration: 6 minutes, 37 seconds.
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SummingSeriesPart1rev.avi - Duration: 8 minutes, 17 seconds.
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SeriesofSquaresPart1and2.wmv - Duration: 14 minutes.
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Integrate the Planck Function Part 1 - Duration: 8 minutes, 20 seconds.
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Integrating the Planck Function Part 2 - Duration: 8 minutes, 52 seconds.
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Created playlists
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Scarlatti K 27 - Playlist
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Cummins History - Playlist
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Phototeq - Playlist
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Piano Solutions - Playlist
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Fluid Flow - Playlist
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Mathematics of General Relativity Part 2 - Playlist
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Mathematics of General Relativity Part 1 - Playlist
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Metric Spaces - Playlist
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How to Use the Wedge Product - Playlist
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Intermission: The Math Planet - Playlist
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