Arithmetic of Quadratic Forms

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The book is structured into two main parts, with the second part focusing on the classification of quadratic forms and quadratic Diophantine equations. It explores two classification theories: one over algebraic number fields and another over the ring of algebraic integers. The author critiques traditional methods, particularly those of Helmut Hasse, and highlights a more direct approach inspired by Martin Eichler's work using Clifford algebras. Additionally, it includes a proof of the Hasse norm theorem for quadratic extensions, ensuring a self-contained exposition.