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...
