Albert Hyunsung Shim to Publish New Mathematics Book Explaining Why dy over dx Behaves Like a Fraction
Albert Hyunsung Shim, founder of the Institute for Mathematical Research, which has offices in both Korea and the United States, is set to release a new mathematics book this August titled “Why dy/dx Acts Like a Fraction”, which offers a rigorous explanation of the true nature of the derivative notation dy/dx.
[Albert Hyunsung Shim]
In this upcoming work, Shim reveals that although dy/dx is not technically a fraction, its behavior can be mathematically justified as if it were one—based on the concept of limits, the foundational idea behind calculus. His research sheds new light on a symbol that has been used repeatedly in calculus education from high school to university, often explained only through intuition or memorized rules.
For generations, students have accepted identities such as ...
