Basic Materials for our Project

Sympy, numpy, matplotlib

• Algebra with sympy
• Calculus with sympy
• Graphics with numpy and matplotlib
• More on graphics
• Animation with numpy and matplotlib
• Interactive animation
• More on interactive animation

Introductory texts

• Quick Introduction to Differential Geometry (in Japanese)
• Quick Introduction to Differential Geometry (in English)

Differential geometry in Mathematica

• LEARNING DIFFERENTIAL GEOMETRY OF SURFACES IN A VISUAL INTERACTIVE MATH CLASS -- WITH ADVANCED NUMERICAL FACILITIES OF MATHEMATICA -- ICERI2017 in Barcellona

• Differential geometry of curves
• Parallel transport on a hyperboloid
• Curvature of an ellipsoid
• Curvature of a hyperboloid
• Curvature of a hyperboloid (second version)

Differential geometry in Python

• Parallel transport on a hyperboloid
• Interactive 3D and mouse event handling

Topology in Mathematica

Topology in Python

• Polygon diagrams (1)
• Polygon diagrams (2)
• Polygon diagrams (3)