Introduction to number theory and abstract algebra
Brij Gupta, Mamta · 2021
This chapter gives a detailed overview of the basic concepts to build a strong foundation before diving deep into the field of searchable encryption and data management. It covers the concepts related to number theory and the basic concepts of abstract algebra. Number theory is an interesting facet of mathematics that has attracted everyone from professional mathematicians to amateurs with its captivating concepts. Number theory concepts and theorems are natural and make sense even to a layman. Abstract algebra represents a class of powerful mathematical tools which have application in diverse fields. It is an extension of classical algebra which deals with abstract structures like groups, rings and fields instead of the usual number system.