Dimensions : A walk through mathematics

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  • ~IronMan~
    Admin
    • Nov 2006
    • 21300

    Dimensions : A walk through mathematics

    DIMENSIONS : A WALK THROUGH MATHEMATICS




    Chapter 1
    Dimension two.Hipparchus shows us how to describe the position of any point on Earth with two numbers…
    …and explains the stereographic projection : how to draw a map of the world.

    4V2jxK4xkp DIMENSIONS : A WALK THROUGH MATHEMATICS
    Chapter 2
    Dimension three. M.C. Escher talks about the adventures of two-dimensional creatures trying to imagine what three-dimensional objects look like.

    ViiAWyF3bw DIMENSIONS : A WALK THROUGH MATHEMATICS
    Chapters 3 and 4
    The fourth dimensionMathematician Ludwig Schläfli talks about objects that live in the fourth dimension…

    ..and shows a parade of four-dimensional polytopes, strange objects with 24, 120 and even 600 faces !

    AhB5oITBBw DIMENSIONS : A WALK THROUGH MATHEMATICS
    Chapters 5 and 6
    Complex numbersMathematician Adrien Douady explains complex numbers. The square root of negative numbers made easy !
    Transforming the plane, deforming images, creating fractal images…

    343g6PTods DIMENSIONS : A WALK THROUGH MATHEMATICS
    Chapters 7 and 8
    FibrationMathematician Heinz Hopf explains his “fibration”. Using complex numbers he constructs pretty patterns of circles in space.

    Circles, tori… everything rotating in four-dimensional space.

    i1s2Em3yxD DIMENSIONS : A WALK THROUGH MATHEMATICS
    Chapter 9
    ProofMathematician Bernhard Riemann explains the importance of proofs in mathematics. He proves a theorem concerning the stereographic projection.




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