Transcendental Number
A transcendental number is a number that is not the root of any polynomial with integer coefficients. The opposite of algebraic number.
Transcendental number is a college-level concept that would be first encountered in a number theory course.
Examples
| Pi: |
Pi is the mathematical constant defined as the ratio of the circumference of a circle to its diameter with value of approximately 3.14159. |
| e: |
The mathematical constant denoted e is the base of the natural logarithm which has value of approximately 2.718. |
Prerequisites
| Algebraic Number: |
An algebraic number is a number that is the root of some polynomial with integer coefficients. Algebraic numbers can be real or complex and need not be rational. |
| Irrational Number: |
An irrational number is a real number that cannot be written as a fraction. Irrational numbers have decimal expansions that neither terminate nor become periodic. |
| Root: |
For a mathematical function, a root is a set of arguments for which the function assumes the value of zero. |
Classroom Articles on Number Theory (Up to College Level)
