RINGS AND FIELDS

Chapters

• INTRODUCTION

• RING OF INTEGERS

• RESIDUE CLASS RINGS

• RATIONAL FIELD

• FINITE FIELDS

• UNIVARIATE POLYNOMIAL RINGS

• MULTIVARIATE POLYNOMIAL RINGS

• INVARIANT RINGS OF FINITE GROUPS

• RATIONAL FUNCTION FIELDS

• FUNCTION FIELDS AND THEIR ORDERS

• VALUATION RINGS

• QUADRATIC FIELDS

• CYCLOTOMIC FIELDS

• NUMBER FIELDS AND THEIR ORDERS

• REAL AND COMPLEX FIELDS

• POWER SERIES AND LAURENT SERIES

• LOCAL FIELDS