Chapter 1: Preliminaries. Software installation
1.1. installing pip3 and IDLE
1.2. Installing kivy
1.3. Installing buildozer
Chapter 2: Polygon rotation in two dimensions
2.1. Rotation equations
2.2. Mapping equations to the screen
Chapter 3: Two dimensional polygon programming
3.1. Polygon structure
3.2. Drawing the edges of the polygon
3.3. Filling the polygon with lines
3.4. Rotating the polygon
3.5. The kivy platform
3.6. main.py listing
3.7. File.kv lisitng
3.8. Using buildozer
Chapter 4: Three-dimensional projections and rotations
4.1. Projection of a three-dimensional point into a plane
4.2. Rotation of a point in a plane
Chapter 5: Programming three-dimensional polygons
5.1. Polygon structure
5.2. Basic functions
5.3. main.py listing
5.4. File.kv
Chapter 6: Stereoscopic 3D Programming
6.1. Basics of a stereoscopic view
6.2. Programming and ORing the images
6.3. Projections
6.4. Polygon structure
6.5. DrawAxes function
6.6. Points of projection
6.7. main.py listing
6.8. File.kv
Chapter 7: 3D plots programming
7.1. Program basic operations
7.2. Function overview
7.3. Generating the axes, the mesh and the function
7.4. Plotting the function in the screen
7.5. Rotating the plot
7.6. main.py listing
7.7. File.kv listing
Chapter 8: Stereoscopic 3D plots
8.1. Creating the function, coordinates and mesh
8.2. Creating two images for stereoscopic effects
8.3. Drawing the plot
8.4. main.py listing
8.5. File.kv listing
8.6. Surfaces with saddle points
Chapter 9: 3D parametric plots
9.1. Parametric equations
9.2. Plotting
9.3. main.py
9.4. File.kv
Chapter 10: Stereoscopic 3D parametric plots
10.1. Generating the function
10.2. Creating PIL images for the stereoscopic effect
10.3. Plotting the function
10.4. main.py
10.5. File.kv
Chapter 11: Sympy
11.1. Analytical expressions and symbols
11.2. Declaring functions with analytical expressions
11.3. Solving equations
11.4. Solving simultaneous equations
11.5. Differentiation
11.6. Integration
Chapter 12: Plotting functions in spherical coordinates
12.1. Spherical coordinates
12.2. Spherical differential equation example
12.3. The associated Legendre polynomials
12.4. Plotting 3D spherical coordinates
12.5. main.py listing
12.6. File.kv listing
12.7. Incorporating sympy into the Android project
Chapter 13. Stereoscopic plots of spherical functions
13.1. Creating the stereoscopic scenes
13.2. main.py listing
13.3. File.kv listing
Chapter 14. Stereoscopic simple numerical method for the gravitational N-body problem
14.1. The gravitational N-body problem
14.2. Motion equations
14.3. Numerical approach of the dynamic equations
14.4. Capturing numerical data
14.5. Five planets example
14.6. main.py listing
14.7. File.kv
Chapter 15. Stereoscopic cylindrical coordinates plotting. Aberrations of optical lenses
15.1. Ideal lens focusing. The Fresnel diffraction integral
15.2. Departure from the ideal lens
15.3. The wave aberration function in cylindrical coordinates
15.4. Stereoscopic plot of the wave aberration terms in cylindrical coordinates
15.5. main.py listing
15.6. File.kv listing
Chapter 16. Stereoscopic plotting of three-dimensional conics
16.1. Analytical approach
16.2. Stereoscopic ellipsoid plotting
16.3. main.py (Ellipsoid)
16.4. File.kv
16.5. HyperboloidChapter 1: Preliminaries. Software installation
1.1. installing pip3 and IDLE
1.2. Installing kivy
1.3. Installing buildozer
Chapter 2: Polygon rotation in two dimensions
2.1. Rotation equations
2.2. Mapping equations to the screen
Chapter 3: Two dimensional polygon programming
3.1. Polygon structure
3.2. Drawing the edges of the polygon
3.3. Filling the polygon with lines
3.4. Rotating the polygon
3.5. The kivy platform
3.6. main.py listing
3.7. File.kv lisitng
3.8. Using buildozer
Chapter 4: Three-dimensional projections and rotations
4.1. Projection of a three-dimensional point into a plane
4.2. Rotation of a point in a plane
Chapter 5: Programming three-dimensional polygons
5.1. Polygon structure
5.2. Basic functions
5.3. main.py listing
5.4. File.kv
Chapter 6: Stereoscopic 3D Programming
6.1. Basics of a stereoscopic view
6.2. Programming and ORing the images
6.3. Projections
6.4. Polygon structure
6.5. DrawAxes function
6.6. Points of projection
6.7. main.py listing
6.8. File.kv
Chapter 7: 3D plots programming
7.1. Program basic operations
7.2. Function overview
7.3. Generating the axes, the mesh and the function
7.4. Plotting the function in the screen
7.5. Rotating the plot
7.6. main.py listing
7.7. File.kv listing
Chapter 8: Stereoscopic 3D plots
8.1. Creating the function, coordinates and mesh
8.2. Creating two images for stereoscopic effects
8.3. Drawing the plot
8.4. main.py listing
8.5. File.kv listing
8.6. Surfaces with saddle points
Chapter 9: 3D parametric plots
9.1. Parametric equations
9.2. Plotting
9.3. main.py
9.4. File.kv
Chapter 10: Stereoscopic 3D parametric plots
10.1. Generating the function
10.2. Creating PIL images for the stereoscopic effect
10.3. Plotting the function
10.4. main.py
10.5. File.kv
Chapter 11: Sympy
11.1. Analytical expressions and symbols
11.2. Declaring functions with analytical expressions
11.3. Solving equations
11.4. Solving simultaneous equations
11.5. Differentiation
11.6. Integration
Chapter 12: Plotting functions in spherical coordinates
12.1. Spherical coordinates
12.2. Spherical differential equation example
12.3. The associated Legendre polynomials
12.4. Plotting 3D spherical coordinates
12.5. main.py listing
12.6. File.kv listing
12.7. Incorporating sympy into the Android project
Chapter 13. Stereoscopic plots of spherical functions
13.1. Creating the stereoscopic scenes
13.2. main.py listing
13.3. File.kv listing
Chapter 14. Stereoscopic simple numerical method for the gravitational N-body problem
14.1. The gravitational N-body problem
14.2. Motion equations
14.3. Numerical approach of the dynamic equations
14.4. Capturing numerical data
14.5. Five planets example
14.6. main.py listing
14.7. File.kv
Chapter 15. Stereoscopic cylindrical coordinates plotting. Aberrations of optical lenses
15.1. Ideal lens focusing. The Fresnel diffraction integral
15.2. Departure from the ideal lens
15.3. The wave aberration function in cylindrical coordinates
15.4. Stereoscopic plot of the wave aberration terms in cylindrical coordinates
15.5. main.py listing
15.6. File.kv listing
Chapter 16. Stereoscopic plotting of three-dimensional conics
16.1. Analytical approach
16.2. Stereoscopic ellipsoid plotting
16.3. main.py (Ellipsoid)
16.4. File.kv
16.5. Hyperboloid
16.6. main.py (Hyperboloid)
Chapter 17. Two-dimensional Fourier transform
17.1. One-dimensional Fourier transform
17.2. Rectangular and sinc functions
17.3. Code for calculating the discrete one-dimensional Fourier transform
17.4. Two-dimensional Fourier transform
17.5. Discrete two-dimensional Fourier transform
17.6. main.py lisitng
17.7. File.kv listing
17.8. The Fourier transform of the circular function
17.9. Analytical formulation for the Fourier transform of the circular function
Chapter 18. Stereoscopic two-dimensional Fourier transform
18.1. Piloting the functions
18.2. main.py listing
18.3. File.kv listing
16.6. main.py (Hyperboloid)
Chapter 17. Two-dimensional Fourier transform
17.1. One-dimensional Fourier transform
17.2. Rectangular and sinc functions
17.3. Code for calculating the discrete one-dimensional Fourier transform
17.4. Two-dimensional Fourier transform
17.5. Discrete two-dimensional Fourier transform
17.6. main.py lisitng
17.7. File.kv listing
17.8. The Fourier transform of the circular function
17.9. Analytical formulation for the Fourier transform of the circular function
Chapter 18. Stereoscopic two-dimensional Fourier transform
18.1. Piloting the functions
18.2. main.py listing
18.3. File.kv listing