Arithmetic of Quadratic Forms

More about the book

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.