MODERN ALGEBRA
Price : 100/-
ISBN : NA
Contents
Sets and Relations, Functions and Binary Operations, Number Theory Prelominaries, Groups, Subgroups, Normal Subgroups, Quotient Groups, Homomorphisms, Permutation Groups, Group Automorphisms, Conjugate Elements and p-Groups, Direct Product of Groups, Cauchy’s and Sylow’s Theorems, Rings, Integral Domains and Fields, Subring and Ideals, Ring Homomorphisms, Extension of Rings, Prime Fields, Polynomial Rings, Euclidean Domains, Principal Ideal Domains and Unique Factorization Domains, Vector Spaces and their Subspaces , Finitely Genrated Vector Spaces, Linear Transformations, Inner Product Spaces, Extension Fields, Galois Theory, Algebric Properties of Linear Operators