The Structure of Finite Algebras (D. Hobby and R. McKenzie)
The Structure of Finite Algebras (D. Hobby and R. McKenzie)
The Structure of Finite Algebras (D. Hobby and R. McKenzie)
This book covers the following topics:
Basic concepts and notation, Tight lattices, Tame quotients, Abelian and
solvable algebras, The structure of minimal algebras, The types of tame
quotients, Labeled congruence lattices, Solvability and semi-distributivity,
Congruence modular varieties, Malcev classification and omitting types,
Residually small varieties, Decidable varieties, Free spectra, Tame algebras and
E-minimal algebras, Simple algebras in varieties.
The contents of this book include: Systems of Equations,
Matrices, Determinants, Linear Transformations, Complex Numbers, Spectral
Theory, Some Curvilinear Coordinate Systems, Vector Spaces.
This is a book on
linear algebra and matrix theory. It provides an introduction to various
numerical methods used in linear algebra. This is done because of the
interesting nature of these methods. Topics covered includes: Matrices And
Linear Transformations, Determinant, Row Operations, Factorizations, Vector
Spaces And Fields, Linear Transformations, Inner Product Spaces, Norms For
Finite Dimensional Vector Spaces.
This collection of
exercises is designed to provide a framework for discussion in a junior level
linear algebra class conducted fairly regularly at Portland State University.
Topics covered includes: Matrices And Linear Equations, Vector Spaces , Linear
Maps Between Vector Spaces , Spectral Theory Of Vector Spaces, The Geometry Of
Inner Product Spaces , Adjoint Operators, Spectral Theory Of Inner Product
Spaces.
This book is
addressed primarely to second and third year college engineering students who
have already had a course in calculus and analytic geometry. It is the result of
lecture notes given by the author at Arkansas Tech University. Topics covered
includes: Linear Systems of Equations, Matrices, Determinants, The Theory of
Vector Spaces, Eigenvalues and Eigenvectors, Linear Transformation.
This
book explains the following topics related to Differential Equations and Linear
Algebra: Linear second order ODEs, Homogeneous linear ODEs, Non-homogeneous
linear ODEs, Laplace transforms, Linear algebraic equations, Linear algebraic
eigenvalue problems and Systems of differential equations.
This book covers the following topics:
Basic concepts and notation, Tight lattices, Tame quotients, Abelian and
solvable algebras, The structure of minimal algebras, The types of tame
quotients, Labeled congruence lattices, Solvability and semi-distributivity,
Congruence modular varieties, Malcev classification and omitting types,
Residually small varieties, Decidable varieties, Free spectra, Tame algebras and
E-minimal algebras, Simple algebras in varieties.