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Apr 30, 2024 · Carl Friedrich Gauss, German mathematician, generally regarded as one of the greatest mathematicians of all time for his contributions to number theory, geometry, probability theory, geodesy, planetary astronomy, the theory of functions, and potential theory (including electromagnetism).
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In the years 1798 and 1799 Gauss wrote a voluminous compilation of all these results in the Disquisitiones Arithmeticae, published in 1801, that consolidated number theory as a discipline and covered both elementary and algebraic number theory.
Johann Carl Friedrich Gauss is one of the most influential mathematicians in history. Gauss was born on April 30, 1777 in a small German city north of the Harz mountains named Braunschweig. The son of peasant parents (both were illiterate), he developed a staggering number of important ideas and had many more ….
In his Disquisitiones Arithmeticae (1798), Carl Friedrich Gauss (1777–1855) proved the law of quadratic reciprocity and developed the theory of quadratic forms (in particular, defining their composition).
Carl Friedrich Gauss worked in a wide variety of fields in both mathematics and physics incuding number theory, analysis, differential geometry, geodesy, magnetism, astronomy and optics. His work has had an immense influence in many areas.
Gauss documented significant breakthroughs, such the law of quadratic reciprocity, his formulation of modern modular arithmetic, and congruence – the idea that underpinned his unified approach to number theory.
Gauss Theory. Although he made contributions in almost all fields of mathematics, number theory was always Gauss’ favourite area, and he asserted that “mathematics is the queen of the sciences, and the theory of numbers is the queen of mathematics”.