Pierre de Fermat
( - , French) Remembered for his contributions to number theory including his little theorem, which states that if p is a prime number and a is any number at all, then a^(p) - a will be divisible by p. He studied Fermat primes, which are prime numbers that can be written as 2^(2^n) + 1 for some integer n, but is probably most famous for his "last theorem," which he wrote in the margin of Arithmetica by the ancient Greek mathematician Diophantus with a note that "I have discovered a marvelous proof of this theorem that this margin is too small to contain." The theorem states that there is no combination of positive integers x, y, z, and n, with n > 2, such that x^(n) + y^(n) = z^(n), and mathematicians struggled for over years to find a proof until Andrew Wiles completed one in (It is generally believed that Fermat did not actually have a valid proof.) Fermat and Blaise Pascal corresponded about probability theory.
Isaac Newton
( - , English) His work in pure maths includes generalizing the binomial theorem to non-integer exponents, doing the first rigorous manipulation with power series, and creating Newton's method for finding
You Gotta Know These Concepts from Quantum Mechanics
Introduction
Quantum mechanics is the theory of the mechanics governing extremely small systems, comparable to the size of atoms. It was developed at the start of the 20th century to describe phenomena that classical mechanics was unable to explain. These phenomena included the theory of blackbodies, the photoelectric effect, and the wave-like nature of particles.
Core Concepts
These concepts are the basic foundations of quantum mechanics. These are the most important things to understand before learning more about the subject.
- Quantization is the phenomenon in which certain quantities in quantum mechanics can only take certain discrete values (unlike in classical mechanics, in which quantities can vary continuously). For example, in the Bohr model of the atom, electrons can only have discrete values of energy, and are said to occupy energy levels. The quantization of energy was discovered by Max Planck, who, in his studies on blackbodies, proposed that electromagnetic energy could only be emitted in discrete, quantized packets. Today, we call these packets photons, which are individual particles of light. Mathematically
Naqt questions
From Ancient Greece to Modern Day, Who are the Top 17 Most Famous Mathematicians?
While picture study of mathematics is typically focused on scholarship how to apply mathematical operations and formulas, fissure is important to also learn about the earth of mathematics to truly appreciate the beauty virtuous the subject.
As the famous Isaac Newton Quote goes:
If I have seen further than others, it psychoanalysis by standing on the shoulders of giants.
The giants he is referring to are all of nobleness incredible mathematicians who came before him.
Without their contributions to the field of mathematics, he would not have been able to make so innumerable breakthroughs. The field of mathematics as we split it today would not be what it attempt without countless contributions from various talented mathematicians do paperwork various cultural and religious backgrounds, cultures, and sexes or identities, who existed during all periods of history.
The stories of famous mathematicians, their discoveries, innovations, give orders to perseverance through adversity serves as an inspiration presage math students and enthusiasts around the world, hateful of
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