Mathematics Books Algebra BooksAbstract Algebra Books

Abstract Algebra in GAP by Alexander Hulpke

Abstract Algebra in GAP by Alexander Hulpke

Abstract Algebra in GAP by Alexander Hulpke

This book aims to give an introduction to using GAP with material appropriate for an undergraduate abstract algebra course. It does not even attempt to give an introduction to abstract algebra, there are many excellent books which do this. Topics covered includes: The GGAP user interface, Rings, Groups, Linear Algebra, Fields and Galois Theory, Number Theory.

Author(s):

s179 Pages
Similar Books
Notes on Abstract Algebra by Scott M. LaLonde

Notes on Abstract Algebra by Scott M. LaLonde

This note explains the following topics: What is Abstract Algebra, The integers mod n, Group Theory, Subgroups, The Symmetric and Dihedral Groups, Lagrange’s Theorem, Homomorphisms, Ring Theory, Set Theory, Techniques for Proof Writing.

s151 Pages
Honors Abstract Algebra

Honors Abstract Algebra

This note describes the following topics: Peanos axioms, Rational numbers, Non-rigorous proof of the fundamental theorem of algebra, polynomial equations, matrix theory, Groups, rings, and fields, Vector spaces, Linear maps and the dual space, Wedge products and some differential geometry, Polarization of a polynomial, Philosophy of the Lefschetz theorem, Hodge star operator, Chinese remainder theorem, Jordan normal form,Galois theory.

s102 Pages
Introduction to Abstract Algebra by Alexander Paulin

Introduction to Abstract Algebra by Alexander Paulin

This note explains the following topics: Sets and Functions, Factorization and the Fundamental Theorem of Arithmetic, Groups, Permutation Groups and Group Actions, Rings and Fields, Field Extensions and Galois Theory, Galois Theory.

s83 Pages
Abstract Algebra by Romyar Sharif

Abstract Algebra by Romyar Sharif

This note covers the following topics: Set theory, Group theory, Ring theory, Isomorphism theorems, Burnsides formula, Field theory and Galois theory, Module theory, Commutative algebra, Linear algebra via module theory, Homological algebra, Representation theory.

s328 Pages
Abstract Algebra Theory and Applications

Abstract Algebra Theory and Applications

This text is intended for a one- or two-semester undergraduate course in abstract algebra. Topics covered includes: The Integers, Groups, Cyclic Groups, Permutation Groups, Cosets and Lagrange’s Theorem, Algebraic Coding Theory, Isomorphisms, Normal Subgroups and Factor Groups, Matrix Groups and Symmetry, The Sylow Theorems , Rings, Polynomials, Integral Domains, Vector Spaces, Finite Fields.

s444 Pages
Introduction to Abstract Algebra by Samir Siksek

Introduction to Abstract Algebra by Samir Siksek

This book covers the following topics: Algebraic Reorientation, Matrices, Groups, First Theorems, Orders and Lagrange’s Theorem, Subgroups, Cyclic Groups and Cyclic Subgroups, Isomorphisms, Cosets, Quotient Groups, Symmetric Groups, Rings and Fields.

s139 Pages
Advance Abstract Algebra

Advance Abstract Algebra

This note explains the following topics: Linear Transformations, Algebra Of Linear Transformations, Characteristic Roots, Characteristic Vectors, Matrix Of Transformation, Canonical Form, Nilpotent Transformation, Simple Modules, Simi-simple Modules, Free Modules, Noetherian And Artinian Modules, Noetherian And Artinian Rings, Smith Normal Form, Finitely Generated Abelian Groups.

s84 Pages
Abstract Algebra With Applications

Abstract Algebra With Applications

This book covers the following topics related to Abstract Algebra: The Integers, Foundations, Groups, Group homomorphisms and isomorphisms, Algebraic structures, Error correcting codes, Roots of polynomials, Moduli for polynomials and Nonsolvability by radicals.

s187 Pages
Advance Abstract Algebra

Advance Abstract Algebra

This note explains the following topics: Linear Transformations, Algebra Of Linear Transformations, Characteristic Roots, Characteristic Vectors, Matrix Of Transformation, Canonical Form, Nilpotent Transformation, Simple Modules, Simi-simple Modules, Free Modules, Noetherian And Artinian Modules, Noetherian And Artinian Rings, Smith Normal Form, Finitely Generated Abelian Groups.

s84 Pages
Abstract Algebra  Theory and Applications (PDF 442P)

Abstract Algebra Theory and Applications (PDF 442P)

Covered topics: Preliminaries, Integers, Groups, Cyclic Groups, Permutation Groups, Cosets and Lagrange's Theorem,  Introduction to Cryptography, Algebraic Coding Theory, Isomorphisms, Homomorphisms, Matrix Groups and Symmetry, The Structure of Groups, Group Actions, The Sylow Theorems, Rings, Polynomials, Integral Domains, Lattices and Boolean Algebras, Vector Spaces, Fields and Galois Theory

s442 Pages
Fields and Galois Theory

Fields and Galois Theory

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.

s130 Pages
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.

sNA Pages
Elementary Abstract Algebra

Elementary Abstract Algebra

This book covers the following topics: Binary Operations, Introduction to Groups, The Symmetric Groups, Subgroups, The Group of Units of Zn, Direct Products of Groups, Isomorphism of Groups, Cosets and Lagrange s Theorem, Introduction to Ring Theory, Axiomatic Treatment of R N Z Q and C, The Quaternions, The Circle Group.

s105 Pages
Intro Abstract Algebra

Intro Abstract Algebra

This note covers the following topics: Basic Algebra of Polynomials, Induction and the Well ordering Principle, Sets, Some counting principles, The Integers, Unique factorization into primes, Prime Numbers, Sun Ze's Theorem, Good algorithm for exponentiation, Fermat's Little Theorem, Euler's Theorem, Primitive Roots, Exponents, Roots, Vectors and matrices, Motions in two and three dimensions, Permutations and Symmetric Groups, Groups: Lagrange's Theorem, Euler's Theorem, Rings and Fields, Cyclotomic polynomials, Primitive roots, Group Homomorphisms, Cyclic Groups, Carmichael numbers and witnesses, More on groups, Finite fields, Linear Congruences, Systems of Linear Congruences, Abstract Sun Ze Theorem and Hamiltonian Quaternions.

s200 Pages
Abstract Algebra done Concretely

Abstract Algebra done Concretely

This note covers the following topics: Natural Numbers, Principles of Counting, Integers and Abelian groups, Divisibility, Congruences, Linear Diophantine equations, Subgroups of Abelian groups, Commutative Rings, A little Boolean Algebra, Fields, Polynomials over a Field, Quotients of Abelian groups, Orders of Abelian groups, Linear Algebra over, Nonabelian groups, Groups of Symmetries of Platonic Solids, Counting Problems involving Symmetry, Proofs of theorems about group actions, Homomorphisms between groups, The Braid Group, The Chinese remainder theorem, Quotients of polynomial rings, The finite Fourier transform.

s103 Pages
Algebra Abstract and Concrete

Algebra Abstract and Concrete

The book, Algebra: Abstract and Concrete provides a thorough introduction to algebra at a level suitable for upper level undergraduates and beginning graduate students. The book addresses the conventional topics: groups, rings, fields, and linear algebra, with symmetry as a unifying theme.

sNA Pages

Advertisement