In particular the construction of irreducible polynomials and the normal basis of finite fields are included the essentials of galois rings are also presented this invaluable book has been written in a friendly style so that lecturers can easily use it as a text and students can use it for self study. Lectures on finite fields and galois rings zhe xian wan c i nese academy of sciences china world scientific new jersey o london o singapore o hong kong contents 1 sets and integers 1 11 sets and maps 1 12 the factorization of integers 7 13 equivalence relation and partition 15. Similar items finite fields and galois rings by wan zhexian published 2012 the dynamics statistics and projective geometry of galois fields by arnold v i vladimir igorevich 1937 2010 published 2011 arithmetic of finite fields by small charles 1943 published 1991. Lectures on finite fields and galois rings zhexian wan world scientific 2003 mathematics 342 pages 0 reviews this is a textbook for graduate and upper level undergraduate students in mathematics computer science communication engineering and other fields the explicit construction of finite fields and the computation in finite fields