Figure 1: (left) Matrix Multiplication in Tensor Notation (right) New tensorAddOns Functionality CreateTensor, DescribeTensor, and MatrixView (Note: prod is existing, but deprecated, functionality of the package tensor)

Figure 2: Think of a Tensor as a Storage Mechanism for Higher Dimensional Data

Figure 3: (left) Correct Maple Computations are the Most Important (right) Export Maple Output for Application and Visualization

Figure 4: Gauss Curvature Illustration: A Ratio of Areas

Figure 5: Gauss Curvature as an Animated Graphic Novel: Find “A Curvature Story” on Apple Books (shorturl.at/EGOXY)

Figure 6: Screenshots from tensorAddOns[RiemannCurvatureOnSurface] and tensorAddOns[SurfaceData] which Shows how the Riemann Curvature Defines the Gauss Curvature.

Figure 7: A tensorAddOns vs. Physics package Comparison of the Computation of the Riemann Curvature Tensor of the Schwarzschild Metric

Figure 8: tensorAddOns Computes the Riemann and Ricci Curvature Tensors in an Orthonormal, Anholonomic Frame

Figure 9: For more technical details, see the post tensorAddOns on our blog unconcisemath.com by jason M. Osborne.