How to use this book?
Unlike traditional books, where you’re limited to static pages, this book offers an immersive experience with interactive charts using D3.js or plotly for interactive data visualization, making complex topics much more engaging. You can explore data and concepts in real-time, adjusting parameters through sliders to see how results change instantly. Below is an example of an interactive t-test chart that allows you to modify statistical values such as means and standard deviations, immediately visualizing the outcomes—no more waiting for lengthy calculations!
Everyone has different interests, and each person may choose to dive deeper into proofs or R code as they wish. That’s why I have designed the proofs and R code sections to be collapsible—click to expand if you’re interested, or skip ahead if you’re ready for the next concept. This approach keeps the layout neat and ensures you can focus on what matters most without feeling overwhelmed by information overload. Get ready for a more interactive, tailored learning experience!
Here’s a simple example of a proof that demonstrates the concept concisely and interactively:
Proposition 0.1 \((a - b)(a + b) = a^2 - b^2\)
\[ (a - b)(a + b) = a^2 + ab - ab - b^2 = a^2 - b^2 \]
The following is an example of R code; you can show/hide the source code and copy the code to the clipboard:
Now, it’s time to embark on your learning journey! With this book, you’ll not only grasp complex concepts but also engage with them in a hands-on, dynamic way. As you explore each chapter, please take advantage of the interactive elements and let them guide your understanding of the material. Whether you dive deep into the proofs or focus on the charts, the choice is yours. So, let’s get started and make this journey a stimulating and rewarding experience!