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Seventh Class: Analysis III
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Related lectures (41)
Curves with Poritsky Property and Liouville Nets
Explores curves with Poritsky property, Birkhoff integrability, and Liouville nets in billiards.
Introduction to Rhino: Surfaces and Meshes
Introduces the fundamentals of working with NURBS and surfaces in Rhino, covering tools for creating curves, surfaces, and meshes.
Local Homeomorphisms and Coverings
Covers the concepts of local homeomorphisms and coverings in manifolds, emphasizing the conditions under which a map is considered a local homeomorphism or a covering.
Curves in the Oriented Plane
Explores curves in the oriented plane, discussing orientation, vector spaces, equivalence relations, and curvature of regular curves.
Double-layered Timber Plate Shell Tutorial
MOOC: Advanced Timber Plate Structural Design
Covers a tutorial on creating a double-layered timber plate shell using Rhino3D and Grasshopper.
Indoor Comfort Analysis
Introduces indoor comfort analysis using Rhinoceros and Grasshopper tools.
Introduction to Rhino Surfaces and Meshes
Introduces working with surfaces, polysurfaces, and solids in Rhino, covering rendering, material editing, and mesh creation.
Geometric Areas: Integrals and Regions
Covers the calculation of areas using integrals for geometric regions defined by curves and parametric equations.
Curvature and Inflection Points
Explores curvature, inflection points, and angular functions in plane curves, highlighting the importance of inflection points.
Algebraic Curves: Normalization
Covers the normalization process of plane algebraic curves, focusing on irreducible polynomials and affine curves.
Taylor Expansions: First Order
MOOC: Introduction to optimization on smooth manifolds: first order methods
Explores Taylor expansions of first order in optimization on manifolds.
Surface of Revolution
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Explains the parametric equations of surfaces of revolution generated by curves in space.
Surfaces in Space
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Explores surfaces in space, including paraboloids, spheres, and hyperboloids, and their equations and intersections.
Curves in Space: Parametric Equations and Surfaces
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Covers the equations for curves and surfaces in space, including parametric and particular surfaces.
Residue Theorem: Calculating Integrals on Closed Curves
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Covers the application of the residue theorem in calculating integrals on closed curves in complex analysis.
Green Theorem: Analyzing Potential Derivatives
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Explores potential derivatives, Green theorem, simple curves, and adherence in open domains.
Curves and Surfaces
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Covers the representation of plane curves and the nature of obtained curves.
Surfaces in R^3: Curves and Regular Surfaces
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Covers curves in R^2, regular surfaces in R^3, and geometric properties of edges.
Gothic Surfaces: Curvature, Development, and Stereotomy
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Delves into the geometric principles of Gothic architecture, focusing on surface curvature and stereotomy techniques.
Surfaces in Geometry II
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Explores geometric surfaces, rules between shapes, and architectural applications.
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