👉 Though math, also known as transcendental number theory, explores the properties and behavior of numbers that are not algebraic, meaning they are not roots of any non-zero polynomial equation with rational coefficients. This field delves into the irrational and transcendental numbers, such as pi (π) and e, which cannot be expressed as simple fractions or roots of polynomials. Key concepts include the proof of irrationality (e.g., for pi), transcendence proofs (like Lindemann-Weierstrass theorem proving that e and π are transcendental), and the study of number density, distribution, and approximation. Though math also investigates Diophantine equations, which seek integer solutions to polynomial equations, and its applications in cryptography, computer science, and physics, it fundamentally challenges our understanding of the infinite and the limits of computation and calculation.
