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.
This
note explains the following topics: Eigenvalues and Eigenvectors, The
spectral theorem, Tensor Products, Fourier Analysis and Quadrtic Reciprocity.
The purpose with
these notes is to introduce students to the concept of proof in linear algebra
in a gentle manner. Topics covered includes: Matrices and Matrix Operations,
Linear Equations, Vector Spaces, Linear Transformations, Determinants, Eigenvalues and Eigenvectors, Linear Algebra and Geometry.
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 note explains
the following topics: Vector spaces, The field of complex numbers, Linear maps,
Subspaces, Matrices, Linear independence and dimension, Ranks, Linear maps and
matrices, Determinants, Eigenvalues and Eigenvectors.
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
note emphasize the concepts of vector spaces and linear transformations as
mathematical structures that can be used to model the world around us. Topics
covered includes: Gaussian Elimination, Elementary Row Operations, Vector
Spaces, Linear Transformations, Matrices, Elementary Matrices and Determinants,
Eigenvalues and Eigenvectors, Diagonalization, Kernel, Range, Nullity, Rank,
Gram-Schmidt and Orthogonal Complements.
These notes are
intended for someone who has already grappled with the problem of constructing
proofs.This book covers the following topics: Gauss-Jordan elimination,
matrix arithmetic, determinants , linear algebra, linear transformations, linear
geometry, eigenvalues and eigenvectors.
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.