Disquisitiones Arithmeticae

Carl Friedrich Gauss

Originally published in 1801 when Gauss was just 24 years old, Disquisitiones Arithmeticae is considered one of the foundational texts in modern mathematics, alongside Euclid’s Elements and Newton’s Principia.

Gauss revolutionized mathematical concepts and set new standards for rigor with this masterpiece. From his treatment of congruence to his study of quadratic forms, Gauss’s ideas continue to shape our understanding of number theory. With modern rigor, he provided the first proofs for prime factorization and quadratic reciprocity, which he considered among his most significant contributions.

Today, Gauss’ work on quadratic forms is taught in undergraduate courses, while more advanced topics such as class number and genera are explored at the postgraduate level. Although some parts of the book have been refined in the context of quadratic field theory, its impact on modern algebraic number theory is undeniable.

This corrected reprint of the first English edition, translated by A. A. Clarke, is a testament to the clarity of Gauss’s writing and the skill of the translator. Whether you’re a history enthusiast or a number theory student, “Disquisitiones Arithmeticae” is a must-have for any math library.

Experience the revolution in mathematics brought about by Carl Friedrich Gauss – get your copy of “Disquisitiones Arithmeticae” today!