Golden Ratio (φ)
Phi (φ) was discovered by Michael Mästlin in a letter to his former student Kepler. The constant is known as the Golden Ratio and is an important constant in mathematics. Many mathematician tried to compute the value of this constant and the value of the constant has been given.
- Symbol: φ
- Value of the constant: 1.6180339887498948482
Uses of Golden Ratio (φ)
The constant is used in various applications like
- It is used as the ratio of the length of the diagonal of a regular pentagon to the length of a regular pentagon’s side.
- It is used in various sequences of mathematics that deal with recursion like the Fibonacci sequence
- Other equations that make use of this constant’s specialty are equations involving the ratio of two quantities where the ratio of the sum to the larger quantity is the same as the ratio of the larger quantity to the smaller one
- The formulas of physics, geometry, and art use this constant to calculate certain values.
- This constant is also used for studying mathematical concepts like Lagrange’s approximation theorem
List of Mathematical Constant
Mathematics is an important branch that deals with numbers used in daily life. Scientists and scholars in olden times performed some daily life tasks like calculation of the area of circles and measurement of ancient civilizations which led to some standard values that are known as constants today.
These constants include Euler’s Constant, Pi, and Golden Ratio. In this article, we will study the list of mathematical constants and what these constants signify. We will also discuss how constants are used in algebra and calculus. Some important concepts like Transcendental Numbers will also be covered in the article.
Table of Content
- What are Mathematical Constants?
- Some Important Constants in Mathematics
- Euler’s Constant “e”
- Pi (π)
- Golden Ratio (φ)
- Euler’s Constant (γ)
- Constants in Algebra
- Constants in Calculus
- Miscellaneous Constants in Mathematics