CHAPTER 1 General properties of valuations 1
CHAPTER 2 Complete fields 26
CHAPTER 3 The ramification theory of valuations 60
CHAPTER 4 Special ideal theory 89
CHAPTER 5 Arithmetic of simple algebras 124
CHAPTER 6 Local class field theory 158
CHAPTER 7 The structure of complete fields 209
APPENDIX Ⅰ The general Galois theory 239
APPENDIX Ⅱ Facts about linear algebras 243
Glossary 249