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Algebra Books

Abstract Algebra

Author: MAT211

School: University of Ibadan

Department: Science and Technology

Course Code: MAT211

Topics: Abstract Algebra, Binary Operations, sets, logic, Switching Algebras, Orders, Lattice, Boolean Algebra, Mapping, Groups, Homomorphism, Rings, Fields, Mathematical Induction, Divisibility, Euclid’s Algorithm, Congruence, Polynomials, Remainder Theorem, factor theorem, Rational Functions

Foundations of Mathematics Algebra, Geometry, Trigonometry and Calculus

Author: Philip Brown

School: Edo University

Department: Science and Technology

Course Code: MTH111

Topics: algebra, numbers, fractions, inequalities, cartesian plane, vector algebra, linear equations, trigonometry, trigonometric rations, trigonometric graphs, Pythagorean Identities, functions, Exponential Functions, Absolute Value Function, rational functions, root functions, Piecewise Defined Functions, limits, continuity, Horizontal Asymptotes, differential calculus, Derivative Functions, Tangent Line Problems, chain rule, Euclidean Geometry, Spherical Trigonometry

Schaums Outline of Linear Algebra, 6th Edition

Author: Seymour Lipschutz, Marc Lipson

School: Edo University

Department: Science and Technology

Course Code: MTH214

Topics: Linear Algebra, Matrix algebra, matrix multiplication, Equivalent Systems, Elementary Operations, Gaussian Elimination, Echelon Matrices, Row Canonical Form, Row Equivalence, Matrix Formulation, Elementary Matrices, LU Decomposition, vector spaces, Linear Combinations, spanning sets, Full Rank Factorization, Least Square Solution, linear mappings, Cauchy–Schwarz Inequality, Gram–Schmidt Orthogonalization, determinants, diagonalization, Eigenvalues, Eigenvectors, Cayley–Hamilton Theorem, canonical forms, linear functionals, dual space, bilinear form, quadratic forms, Hermitian Form, linear operators

Linear Algebra

Author: MAT212

School: University of Ibadan

Department: Science and Technology

Course Code: MAT212

Topics: Linear Algebra, Algebra of Matrices, matrix, Determinants, Matrix Inverse, Systems of Linear Equations, Vector Space, linear equation, Subspaces of Vector Spaces, Rank of a Matrix, Linear Transformations, Linear Transformation, Homogeneous Systems of Linear Equations, Non-Homogeneous Systems of Linear Equations, Eigenvalue, Eigenvector, Minimal Polynomial, Matrix Polynomial, Companion Matrix, Similar Matrix, Diagonal Matrix, Triangular Matrix

A Survey of Modern Algebra ,5th edition

Author: Garrett Birkhoff, Saunders Mac Lane

School: University of Ibadan

Department: Science and Technology

Course Code: MAT212

Topics: Modern Algebra, rational numbers, fields, polynomials, real numbers, complex numbers, groups, vectors, vector spaces, algebra of matrices, linear groups, determinants, canonical forms, Boolean Algebre, Lattice, Transfinite arithemetic, rings, ideal, Algrbraic Number fields, Galois theory

Elements of abstract and linear Algebra

Author: EH Connell

School: University of Ibadan

Department: Science and Technology

Course Code: MAT211

Topics: abstract Algebra, linear Algebra, Sets, Cartesian products, Hausdorff maximality principle, groups, Homomorphisms, permutations, rings, domains, fields, Polynomial rings, Chinese remainder theorem, Boolean rings, matrices, matrix rings, Systems of equations, Determinants, Summands, transpose principle, Nilpotent homomorphisms, Jordan canonical form, Eigenvalues, Euclidean domains, jordan blocks, Jordan canonical form

Abstract Algebra ,3rd edition

Author: John Beachy

School: University of Ibadan

Department: Science and Technology

Course Code: MAT211

Topics: Abstract Algebra, intergers, functions, groups, polynomials, commutative rings, fields, Congruences, intergers modulo, equivalence relations, permutations, subgroups, isomorphisms, cyclic groups, permutation groups, homomorphism, cosets, factor groups, Ring Homomorphism, quotient fields, Algebraic Elements, geometric constructions

Linear Algebra

Author: Jörg Liesen, Volker Mehrmann

School: University of Ilorin

Department: Science and Technology

Course Code: MAT206, MAT213, PHY464, ELE576

Topics: algebraic structures, matrix, echelon form, Gaussian elimination, linear system, vector space, linear map, linear form, bilinear form, Euclidean vector space, unitary vector space, eigenvalue, endomorphism, polynomials, theory of algebra, cyclic subspace, duality, Jordan canonical form, matrix function, singular value decomposition, Kronecker product, linear matrix

Algebra and Trigonometry

Author: Alhassan Charity Jumai

School: Edo University

Department: Science and Technology

Course Code: MTH111

Topics: Algebra, Trigonometry, real number system, set theory, Venn diagram, sequence, series, arithmetic progression, arithmetic mean, geometric progression, partial fraction, mathematical induction, complex numbers, permutations

A First Course in Linear Algebra

Author: Robert Beezer

School: Edo University

Department: Science and Technology

Course Code: MTH214

Topics: Linear algebra, vector, Reduced Row-Echelon Form, vector operations, linear combinations, spanning sets, linear independence, orthogonality, matrices, matrix operation, matrix multiplication, matrix inverses, vector spaces, subspaces, matrix determinants, Eigenvalues, Eigen vectors, linear transformations, Injective Linear Transformations, Surjective Linear Transformations, Invertible Linear Transformations, vector representations, matrix representations, complex number operations, sets

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