Ki Hang K. Applied Abstract Algebra 1983 torrent

Textbook in PDF format

Preface
Sets and Binary Relations
Sets
Binary Relations
Functions
Order Relations
Boolean Matrices and Graphs
Arrow’s Impossibility Theorem
Semigroups and Groups
Semigroups
Generators and Relations
Green’s Relations
Blockmodels
Finite State Machines
Recognition of Machine Languages by Finite State
Machines
Groups
Subgroups
Homomorphisms
Permutation Groups
Systems of Distinct Representatives and Flows on
Networks
Orbits and Conjugations
Symmetries
Polya Enumeration
Kinship Systems I ll
Lattices of Subgroups
Vector Spaces
Vector Spaces
Basis and Dimension
Matrices
Linear Transformations
Determinants and Characteristic Polynomials
Eigenvalues, Eigenvectors, Similarity
Symmetric and Unitary Matrices
Rings
The Integers and Divisibility
Euclidean Domains and Factorization
Ideals and Congruences
Structure of Z n
Simple and Semisimple Rings
Group Representations
The Group Ring and Representations
Modules and Representations
Irreducible Representations
Group Characters
Tensor Products
Field Theory
Finite Dimensional Extensions
Applications of Extensions of the Rationals
Finite Fields
Coding Theory
Cyclic Codes
Latin Squares
Projective Planes and Block Designs
Open Problems
List of Special Symbols
References
Index