Mathematics is a basic subject that has greatly influenced the growth of our society. From the beginning of human civilization to the present, mathematicians have made substantial contributions to the field by developing new theories, coming up with innovative concepts, and dealing with complex problems.
Many mathematicians have made significant contributions to the field throughout history, and the work they have done has had a significant impact on how we understand mathematics today. This article will examine the careers and contributions of 10 of history’s greatest mathematicians, from Euclid to Andrew Wiles. Their contributions transformed mathematics and inspired later generations of mathematicians.
1. Archimedes
Around 287–212 BC, a Greek mathematician, physicist, and engineer named Archimedes resided in Syracuse, Sicily. He made major contributions to the domains of mathematics, physics, and engineering and is considered one of the best mathematicians of all time. Archimedes’ contributions include the discovery of the buoyancy principle, the invention of hydrostatics, and the creation of numerous ground-breaking devices, including the Archimedes’ screw, which is still employed to lift water today.
2. Euclid
A Greek mathematician named Euclid lived in Alexandria, Egypt, circa 300 BC. His thirteen-book “Elements” series, which is regarded as one of the most important works in the entire history of mathematics, is what made him most famous. Mathematical subjects covered in “Elements” include number theory, geometry, as well as the theory of proportion. Said to have been the primary mathematics textbook for more than two thousand years and still being studied today is “Elements”.
3. Isaac Newton
From 1642 through 1727, Isaac Newton was an English mathematician, physicist, and astronomer. His work had a significant influence on the advancement of mathematics and physics, and he is regarded as one of the most influential and significant scientists of all time. The principles of motion and the law of universal gravitation were outlined in Newton’s most well-known work, “Philosophiae Naturalis Principia Mathematica” (“Mathematical Principles of Natural Philosophy”), which was released in 1687.
4. Carl Friedrich Gauss
German mathematician Carl Friedrich Gauss lived from 1777 until 1855. He is considered one of the most outstanding mathematicians of all time and produced important contributions to number theory, algebra, and analysis, among other areas of mathematics. Gauss made a number of significant discoveries, including the discovery of the Gaussian distribution, commonly referred to as the normal distribution, as well as the rule of quadratic reciprocity.
5. Leonhard Euler
From 1707 through 1783, Leonhard Euler was a Swiss mathematician and scientist. He made important contributions to several areas of the subject, such as topology, number theory, and calculus. In his lifetime, Euler produced nearly 800 works, and the subject of mathematics was forever changed by his theories and discoveries.
He has made contributions to the fields of complex analysis, graph theory, & equation theory, among others. Many of the mathematical notations that continue to be used today, like the notation for pi and the sign for the sum of a series, are due to Euler.
6. Bernhard Riemann
German mathematician Bernhard Riemann lived from 1826 until 1866. He made substantial contributions to number theory, analysis, as well as geometry, among other branches of mathematics. The Riemann hypothesis is one of the most significant unsolved problems in mathematics, and Riemann is most well-known for his work on it.
The theory, which focuses on the distribution of prime numbers, has broad ramifications for numerous fields of science and mathematics. Modern analytic number theory developed as a result of Riemann’s research into the hypothesis.
7. Henri Poincaré
From 1854 to 1912, Henri Poincaré was a French mathematician, theoretical physicist, & philosopher of science. He made significant contributions to topology, and differential equations, including the theory of functions, among other fields of mathematics.
Poincaré is best known for his contributions to studying the three-body problem and chaos theory in the area of dynamical systems. Additionally, he significantly impacted the growth of algebraic topology, an area of mathematics that investigates the characteristics of spaces maintained by continuous transformations.
8. Kurt Gödel
From 1906 to 1978, Kurt Gödel was an Austrian mathematician & philosopher. He made important contributions to various branches of mathematics, such as set theory, mathematical logic, as well as the mathematics of foundations. The incompleteness theorems that Gödel is most well-known for most significant discoveries in mathematical logic.
The theorems demonstrate that any formal system robust enough to express mathematics is insufficient or inconsistent. This indicates that there are true mathematical propositions that cannot be proved inside the confines of a particular formal system, which has profound consequences for the very foundations of mathematics.
9. Emmy Noether
German mathematician Emmy Noether lived from 1882 until 1935. She made substantial contributions to topology, commutative algebra, as well as abstract algebra, among other fields of mathematics. Noether is most well-known for her work on the connection between physics symmetries and conservation laws, or Noether’s theorem.
Every physical system’s symmetry, according to the theorem, has a corresponding conservation law. This has profound effects on our comprehension of the fundamental rules of physics and contributed to the growth of contemporary theoretical physics.
10. Alan Turing
From 1912 through 1954, Alan Turing was a British mathematician, computer scientist, as well as cryptanalyst. One of the founding fathers of computer science and artificial intelligence, he is widely regarded. Turing is best remembered for his work at Bletchley Park during World War II, where he oversaw a team of codebreakers who successfully cracked the previously thought-impenetrable German Enigma code.
The success of the Allies and the eventual end of the war were both made possible by Turing’s efforts in codebreaking. Turing made a substantial contribution to the creation of modern computing as well, particularly the Universal Turing Machine, the first stored-program computer.
Conclusion
In summary, numerous inventive brains have influenced mathematics throughout history. From Euclid’s Elements to Turing’s discoveries to computer technology, these mathematicians have created a lasting legacy that has inspired numerous generations of scholars and academics. Their ground-breaking theories and discoveries have had a profound impact on mathematics as well as other academic fields like physics, computer science, & engineering.
Even if the list of the best mathematicians of all time is arbitrary and open to expansion, the ten individuals we have discussed – Euclid, Archimedes, Newton, Euler, Gauss, Poincaré, Riemann, Gödel, Noether, and Turing – have definitely had an impact on the subject. Through their innovative thought and unwavering commitment, they have altered the way we view the world, and they continue to inspire younger generations to pursue goals in mathematics.