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Elements of Abstract and Linear Algebra

Elements of Abstract and Linear Algebra

Elements of Abstract and Linear Algebra

This is a foundational textbook on abstract algebra with emphasis on linear algebra. Covered topics are: Background and Fundamentals of Mathematics, Groups, Rings, Matrices and Matrix Rings and Linear Algebra.

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Abstract Algebra by Paul Garrett

Abstract Algebra by Paul Garrett

This note on Abstract Algebra by Paul Garrett covers the topics like The integers, Groups, The players: rings, fields , Commutative rings , Linear Algebra :Dimension, Fields, Some Irreducible Polynomials, Cyclotomic polynomials, Finite fields, Modules over PIDs, Finitely generated modules, Polynomials over UFDs, Symmetric groups, Naive Set Theory, Symmetric polynomials, Eisenstein criterion, Vandermonde determinant, Cyclotomic polynomials, Roots of unity, Cyclotomic, Primes in arithmetic progressions, Galois theory, Solving equations by radicals, Eigen vectors, Spectral Theorems, Duals, naturality, bilinear forms, Determinants, Tensor products and Exterior powers.

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Abstract Algebra by Ulrich Meierfrankenfeld

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Notes on Abstract Algebra by Scott M. LaLonde

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Introduction to Abstract Algebra by Alexander Paulin

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Abstract Algebra by Romyar Sharif

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Abstract Algebra in GAP by Alexander Hulpke

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Lecture Notes for Abstract Algebra I

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Notes on Abstract Algebra

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Abstract Algebra With Applications

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Advance Abstract Algebra

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Fields and Galois Theory

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These notes give a concise exposition of the theory of fields, including the Galois theory of finite and infinite extensions and the theory of transcendental extensions.

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Elements of Abstract and Linear Algebra

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Abstract Algebra done Concretely

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Algebra Abstract and Concrete

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