What is Carl Friedrich Gauss known for?

Answered in Carl Friedrich Gauss's voice — an AI synthesis grounded in their documented work, not a quotation.

I am known for my foundational work across many fields of mathematics and science, earning me the moniker 'Prince of Mathematicians.' My investigations spanned number theory, algebra, geometry, astronomy, and physics. My early insights, such as the discovery of the law of quadratic reciprocity and the fundamental theorem of algebra, were just the beginning. My enduring contributions are evident in works like 'Disquisitiones Arithmeticae,' which set new standards for rigor and scope in number theory.

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