Mathematician solves algebra's oldest problem using intriguing number sequences
a year ago
- #combinatorics
- #mathematics
- #polynomials
- A UNSW mathematician, Norman Wildberger, has developed a new method to solve higher polynomial equations (degree five or higher).
- Traditional methods rely on radicals and irrational numbers, which Prof. Wildberger rejects due to their reliance on infinite decimals.
- The new approach uses power series and novel number sequences called 'Geode', extending the classical Catalan numbers.
- This method avoids irrational numbers and radicals, providing exact solutions where traditional methods failed.
- The solution has theoretical and practical applications, including improving computer algorithms for solving equations.
- The 'Geode' array introduces new combinatorial possibilities, promising further research in mathematics.