Theorems in mathematics that are commonly attributed to Pierre de Fermat, some of the most well-known are:
- Fermat's Little Theorem
If p is a prime number and a is any integer not divisible by p, then a^(p-1) ≡ 1 (mod p).
- Fermat's Last Theorem
No three positive integers a, b, and c satisfy the equation a^n + b^n = c^n for any integer value of n greater than 2.
Fermat's Method of Finding Maxima and Minima
Fermat's method, also known as the method of adequality, is a technique for finding the maximum or minimum value of a function. It involves finding the points where the first derivative of the function is zero.
Fermat's Principle of Stationary Action
This is a generalization of Fermat's least time principle, and it states that the path taken by a system between two points in space is the path that minimizes the action integral, which is the integral of the Lagrangian over time.
Fermat's Spiral
Fermat's spiral is a mathematical curve that is defined by the equation r^2 = nθ, where r is the distance from the origin, θ is the angle, and n is a constant.The spiral has many interesting properties, such as constant angular velocity and equidistant spacing
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