Albert Hyunsung Shim to Publish New Mathematics Book Explaining Why dy/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.   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 “dy/dx = (dy/du) × (du/dx)” and “dy/dx = 1 / (dx/dy)” as axiomatic or purely intuitive without seeing a formal justification. Even Gottfried Wilhelm Leibniz, credited with introducing the notation, is not known to have provided a rigorous rationale for its structure.   Shim seeks to overturn this longstanding gap in mathematical pedagogy. His book reconstructs the internal logic behind dy/dx by employing the mathematical definition of limits. In doing so, he demonstrates the logical necessity for dy/dx to behave like a fraction, not just in appearance but in the underlying reasoning.   The author anticipates that his findings will have practical implications in math education. By offering students a conceptual framework grounded in mathematical reasoning, rather than rote memorization, the book could foster deeper understanding of calculus and its foundational principles. The book will be published both in Korea and internationally. An accompanying academic paper is also expected to become a valuable resource in the field of mathematics education.   The book has already garnered early praise from academic circles. Professor Hemant K. Singh of the Department of Mathematics at the University of Delhi, a leading institution in India, shared his thoughts after reviewing the manuscript.   "This work is a game changer, particularly for the new learners of differential calculus. It makes the operation of calculus so mind-blowingly intuitive that the students do not have to remember all its nitty-gritties. The results are thoughtfully derived from the fundamental rules of calculus. This research is indeed made-easy for both the teachers and the students."   Albert Hyunsung Shim is a seasoned author of mathematics textbooks widely used in the U.S., particularly for AP Calculus and international math competitions. He currently heads the Institute for Mathematical Research and is slated to serve as a question setter for the Indian Mathematical Olympiad starting this fall.   “Mathematics derives its true value from uncovering and applying the logical structures that lie beneath its surface,” said Shim. “I hope this book inspires students to appreciate the inherent beauty of mathematics in a new way.”    정현식 기자mathematics explaining new mathematics fraction its work shim

2025.07.22. 21:22

"Mathematics for a Life" founder's concise and clear life solution.

Lee Sangdae, the author of 'Duego Principle' (Try it, It can be done!), presents a life formula solved through mathematics in his latest book 'Higher Consciousness - Working Thinking' (Subtitle: Great Perfect Cycle, New Start from Korea), released on January 1st, 2024, available as an e-book publication.   This book introduces a life formula that, through a mathematical approach, addresses all the problems humanity faces and presents an entirely new dimension, unprecedented in history.   Since 1961 (at the age of 25), author Lee Sangdae has dedicated his efforts to finding a formula that could create a world without blood, tears, and sighs on this planet, culminating in 'Higher Consciousness - Working Thinking,' which encapsulates numerous key concepts developed until now.   The innovative concept of 'Mathematics for a Life,' personally crafted by the author, expresses human consciousness and life through the language of mathematics, a groundbreaking approach.   Especially, by offering clear solutions akin to mathematical formulas, it proposes simple and clear ways to resolve the complexities of life's problems, potentially advancing humanity's life and consciousness significantly.   Considering that human consciousness and behavioral changes are decisive factors in defining the development, direction, and ethical standards of Artificial Intelligence (AI), this new concept embodies crucial principles for both 'the change and growth of human consciousness' and 'the development, provision, and utilization of AI for humanity' accordingly.   Moreover, this book introduces the application of the 'Mathematics for a Life' to one's individual life, allowing for diverse and colorful choices based on personal traits and preferences, along with the subsequent enjoyment and happiness. It further delves into addressing issues faced by households, workplaces, society, nations, and humanity at large, thereby provoking deep contemplation and questions among its readers.   The author, renowned for widely disseminating the empowering message "Try it. It can be done!" throughout South Korea since 2004, now presents a revolutionary approach to tackle the unparalleled chaos and confusion of this era—a method that addresses both the soul and material aspects of life.   Introducing this treatment as a solution, the author expresses the hope that applying it internally sparks Great Victory for the individual, and as a result, manifestations such as Great Freedom and Great Independence emerge, guiding readers towards discovering the pathway to a joyful and fulfilling life through this book.    박원중 기자 ([email protected])life mathematics lifes problems life formula mathematics in

2024.01.17. 22:14