Maths 1: Basic Math - Carl Fredrich Gauss, Course Name, Semester

This report provides a comprehensive overview of the life and mathematical contributions of Carl Fredrich Gauss. It explores his significant work in number theory, including his early discovery of constructible polygons and his doctoral thesis on the fundamental theorem of algebra. The report also delves into his contributions to algebra, cartography, and infinite series. Highlighting key publications such as 'Algebraic Number Theory,' the report examines Gauss's influence on mathematics, emphasizing his enduring impact through both published and unpublished works. This assignment is designed to help students understand Gauss's profound impact on the field of mathematics.

Maths 1
Basic Math
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Maths 2
Carl Fredrich Gauss
Carl is a German mathematician who goes by the original name Johann Fredrich Carl Gauss. He
was born into a poor family in 1777 and died in 1855. His participation in number theory,
probability theory, the theory of functions and geometry made him one of the greatest
mathematicians of all time.
In 1791 he joined duke of Brunswick whom in 1795 assisted him financially to learn
mathematics for three years at the University of Göttingen. It was in 1792 that he made his first
major discovery that a 17- sided polygon could be drawn using a ruler and compass alone. Later
in 1797 his doctoral thesis proved the fundamental theorem of algebra that the solutions to any
polynomial equation with real or complex coefficients is as many as its degree. The proof was
exceptional for its critique to earlier attempts and was followed by three more, the last in1847. In
1801 Carl published his first textbook titled ‘Algebraic Number Theory’. The book gives details
on polynomials and theory of factorization, his topics of interest. He published more work on
number theory, cartography, infinite series and the mathematic theory of map construction before
he died.
Carl’s unpublished papers could still extend his influence into the remaining of the century even
after his death.

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References
Jeremy, J. G. (2019). Britannica. John Carl Friedrich Gauss.