Contents


The beauty of mathematics only shows itself to more patient followers.

—Maryam Mirzakhani



Volume 1 / Synchronization


Chapter 4. Trigonometry

4.1 Lines, Angles, and Triangles

4.2 Trigonometric Functions

4.3 Sound Waves

4.4 Advanced Arrays

4.5 Epicycles

Chapter 5. Calculus

5.1 Turtle Geometry

5.2 Limits

5.3 Derivatives

5.4 Summations

5.5 Integrals

5.6 Ordinary Differential Equations

5.7 Synchronization



Volume 2 / Learning


Chapter 6. Complex Numbers

6.1 Quadratic Equations

6.2 Complex Numbers

6.3 Function Iteration

6.4 Fractals

6.5 Polar Coordinates

6.6 Euler’s Formula

Chapter 7. Analytic Geometry

7.1 Parametric Equations

7.2 Conic Sections

7.3 Systems of Nonlinear Equations

7.4 Scientific Computing

7.5 Spaceflight

Chapter 8. Linear Algebra

8.1 Advanced Vector Arithmetic

8.2 Vector Calculus

8.3 Linear Transformations

8.4 Matrix Arithmetic

8.5 Signal Processing

8.6 Fourier Transforms

Chapter 9. Probability

9.1 Random Walks

9.2 Monte Carlo Simulations

9.3 Sequences, Series, and Recursion

9.4 Counting

9.5 Rules of Probability

9.6 Probability Density Functions

9.7 Cumulative Distribution Functions

Chapter 10. Data Science

10.1 Statistical Questions

10.2 Categorical and Quantitative Data

10.3 Data Visualization

10.4 Summary Statistics

10.5 Classification

10.6 Regression

10.7 Case Study: ImageNet