二次型算术

16.Galois extensions
17.Cyclotomic fields
Chapter Ⅳ.Algebras over a field
18.Semisimple and simple algebras
19.Central simple algebras
20.Quaternion algebras
21.Arithmetic of semisimple algebras
Chapter Ⅴ.Quadratic forms over a field
22.Algebraic theory of quadratic forms
23.Clifford algebras
24.Clifford groups and spin groups
25.Lower—dimensional cases
26.The Hilbert reciprocity law
27.The Hasse principle
Chapter Ⅵ.Deeper arithmetic of quadratic forms
28.Classification of quadratic forms over local and global fields
29.Lattices in a quadratic space
30.The genus and class of a lattice and a matrix
31.Integer—valued quadratic forms
32.Strong approximation in the indefinite case
33.Integer—valued symmetric forms
Chapter Ⅶ.Quadratic Diophantine equations
34.A historical perspective
35.Basic theorems of quadratic Diophantine equations
36.Classification of binary forms
37.New mass formulas
38.The theory of genera
References
Index