1168 Words3 Pages

Introduction

Publishing over 150 works, Carl Friedrich Gauss, born in Brunswick, Germany (1777), is notably a world-renowned mathematician. He has contributed to some of the most influential and fundamental theories and concepts in mathematics including geometry, probability theory, number theory, the theory of functions, planetary astronomy and most importantly the theorem of algebra. Being born into a underprivileged family, Gauss was fortunate enough to have his mother and uncle recognise his genius abilities for mathematics and thus, provided him with education to further his gift. Gauss attended college, devoting his life to mathematics, discovering and unearthing major mathematical concepts along the way, which he kept in private diaries until they were perfect enough for publishing. Gauss is considered to be alongside Isaac Newton and Archimedes, as one of the three greatest mathematicians of all time.

Mathematical Concepts

Fundamental Theory of Algebra

Gauss significantly contributed to the fundamental theory of algebra in more ways than one. After finishing college (1792) he discovered that a ruler and compass alone could construct a regular polygon of 17 sides. This was a substantial finding as it opened the door to later ideas of the Galois theory, through not only results but also proof, found in analysis of the factorisation of polynomial equations. This foundation of knowledge he created lead to him being the first mathematician to give rigorous proof of the theorem. This theorem was first stated by d’Alembert (1764), but was fully proved by Gauss at the age of 21, leading to his doctoral thesis (1797), which provided further evidence of the fundamental theorem of algebra. All three proofs can be located in the th...

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...ms that are present in today’s society would not be possible without Gauss’s effort on number theory.

• Besides providing attributes such as the Fundamental Theorem of Algebra to mathematics Gauss also contributed to the developmental principle of the Conservation of Energy, discovered Ceres, an asteroid orbiting around the sun and presented the Method of Least Squares, which is a method used in all sciences to minimise the impact of measurement error. Without these contributions both mathematicians and scientists would not have the knowledge and equipment to continue to further these issues.

• On a basic note, Gauss’s theorems and theories have enabled a smoother transaction in everyday life, whether known or not by individuals, his works have left an everlasting imprint on the development of mathematics in areas including technology and practical problem solving.

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