Staring at a page of derivatives or integrals can feel like trying to read a foreign language. Your professor moves fast, the ...
This is a solution manual for Paolo Aluffi's ALGEBRA, Chapter 0, a textbook that introduces abstract algebra using the language of categories. I find this approach to be particularly appealing. So I'm ...
ABSTRACT: This extensive research paper provides a thorough investigation of the algebraic structure of complex products in groups, with comprehensive analysis of both commutative and non-commutative ...
A mathematics educator and mathematics education doctoral student at Purdue University, United States of America, Humphrey Ochulor, tells FAITH AJAYI about his passion for mathematics and his recent ...
Some AI prompts result in 50 times more carbon emissions than others, according to a new study. The findings suggest that large language models (LLMs)—the technology behind advanced chatbots and ...
Two mathematicians have used a new geometric approach in order to address a very old problem in algebra. In school, we often learn how to multiply out and factor polynomial equations like (x² – 1) or ...
Solving one of the oldest algebra problems isn't a bad claim to fame, and it's a claim Norman Wildberger can now make: The mathematician has solved what are known as higher-degree polynomial equations ...
A mathematician at UNSW Sydney has introduced a groundbreaking method to solve one of algebra’s oldest unsolved problems: equations with variables raised to the fifth power or higher. Honorary ...
Polynomials are equations in which a variable is raised to different powers, like 1 + 4x—3x² = 0 (a degree-two polynomial). These equations are essential in math and science, helping explain things ...