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Algebra and Number Theory is designed to provide a firm introduction to the basic notions of groups, rings, and fields. It also familiarizes the reader on the fundamental concepts of advanced algebra and their role in modern mathematics and applied contexts and the efficient use of advanced algebraic techniques. The text provides an integrated approach of abstract algebra and number theory and serves as a basis for further reading and study in the subject.Features:-275+ Solved examples-125+ Exercises with answers -150+ Part A questions with answers -Plenty of hints for problemsTable of Contents:1. Groups and Rings2. Finite Fields and Polynomials3. Divisibility Theory and Canonical Decompositions4. Linear Diophantine Equations and Congruences5. Classical Theorems and Multiplicative Functions