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Diff Geometry


  • 44:11 DiffGeom1: Classical curves

    DiffGeom1: Classical curves

    by Admin Added 49 Views / 0 Likes

    The first lecture of a beginner's course on Differential Geometry! Given by Assoc Prof N J Wildberger of the School of Mathematics and Statistics at UNSW. Differential geometry is the application of calculus and analytic geometry to the study of curves an

  • 14:20 DiffGeom2: Introduction to GeoGebra

    DiffGeom2: Introduction to GeoGebra

    by Admin Added 61 Views / 0 Likes

    GeoGebra is a dynamic geometry package, available for free, which allows us to easily make planar geometric constructions which are dynamic (move-able), and investigate associated algebraic formulas and relations. This short lecture gives a brief introduc

  • 41:14 DiffGeom3: Parametrized curves and algebraic curves

    DiffGeom3: Parametrized curves and algebraic curves

    by Admin Added 56 Views / 0 Likes

    This lecture discusses parametrization of curves. We start with the case of conics, going back to the ancient Greeks, and then move to more general algebraic curves, in particular Fermat's cubic, the Folium of Descartes and the Lemniscate of Bernoulli. We

  • 48:28 DiffGeom4: The differential calculus for curves, via Lagrange!

    DiffGeom4: The differential calculus for curves, via Lagrange!

    by Admin Added 60 Views / 0 Likes

    We rejuvenate the powerful algebraic approach to calculus that goes back to the work of Newton, Euler and particularly Lagrange, in his 1797 book: The Theory of Analytic Functions (english translation). The idea is to study a polynomial function p(x) by u

  • 49:16 DiffGeom5: Tangent conics and tangent quadrics

    DiffGeom5: Tangent conics and tangent quadrics

    by Admin Added 49 Views / 0 Likes

    In this video we further develop and extend Lagrange's algebraic approach to the differential calculus. We show how to associate to a polynomial function y=p(x) at a point x=r not just a tangent line, but also a tangent conic, a tangent cubic and so on. O

  • 23:51 DiffGeom6: Visualizing the folium surface with GeoGebra

    DiffGeom6: Visualizing the folium surface with GeoGebra

    by Admin Added 49 Views / 0 Likes

    In this tutorial we explore the surface z=x^3+y^3+3xy using GeoGebra. The aim is to develop our skills using this dynamic geometry package, at the same time trying to use a two dimensional representation to understand a surface in three dimensions, with i

  • 49:43 DiffGeom7: Differential geometry with finite fields

    DiffGeom7: Differential geometry with finite fields

    by Admin Added 51 Views / 0 Likes

    With an algebraic approach to differential geometry, the possibility of working over finite fields emerges. This is another key advantage to following Newton, Euler and Lagrange when it comes to calculus! In this lecture we introduce the basics of finite

  • 38:31 DiffGeom9: Projective view of conics and quadrics

    DiffGeom9: Projective view of conics and quadrics

    by Admin Added 54 Views / 0 Likes

    In this video we introduce projective geometry into the study of conics and quadrics. Our point of view follows Mobius and Plucker: the projective plane is considered as the space of one-dimensional subspaces of a three dimensional vector space, or in oth

  • 48:15 DiffGeom8: The differential calculus for curves (II)

    DiffGeom8: The differential calculus for curves (II)

    by Admin Added 53 Views / 0 Likes

    In this video we extend Lagrange's approach to the differential calculus to the case of algebraic curves. This means we can study tangent lines, tangent conics and so on to a general curve of the form p(x,y)=0; this includes the situation y=f(x) as a spec

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