FROM FERMAT TO GAUSS.
Fermat, Euler and Quadratic Reciprocity.
Lagrange, Legendre and Quadratic Forms.
Gauss, Composition and Genera.
Cubic and Biquadratic Reciprocity.
CLASS FIELD THEORY.
The Hilbert Class Field and p = x2 + ny2.
The Hilbert Class Field and Genus Theory.
Orders in Imaginary Quadratic Fields.
Class Fields Theory and the Cebotarev Density Theorem.
Ring Class Field and p = x2 + ny2.
COMPLEX MULTIPLICATION.
Elliptic Functions and Complex Multiplication.
Modular Functions and Ring Class Fields.
Modular Functions and Singular j-Invariants.
The Class Equation.
Ellpitic Curves.
References.
Index.
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