Chapter 1 Fermat 1
Chapter 2 Euler 39
Chapter 3 From Euler to Kummer 59
Chapter 4 Kummer's theory of ideal factors 76
Chapter 5 Fermat's Last Theorem for regular primes 152
Chapter 6 Determination of the class number 181
Chapter 7 Divisor theory for quadratic integers 245
Chapter 8 Gauss's theory of binary quadratic forms 305
Chapter 9 Dirichlet's class number formula 342
Appendix：The natural numbers 372
Answers to exercises 381
Bibliography 403
Index 409