This note covers
the following topics: Motivation, linear spaces, and isomorphisms, Subspaces,
linear dependence and independence, Bases, Dimension, direct sums, and
isomorphism, Quotient spaces and dual spaces, Linear maps, nullspace and range,
Nullity and rank, Matrices, Changing bases, Conjugacy, types of operators, dual
space, determinants.
The contents of this book include: Systems of Equations,
Matrices, Determinants, Linear Transformations, Complex Numbers, Spectral
Theory, Some Curvilinear Coordinate Systems, Vector Spaces.
This note covers
the following topics: Motivation, linear spaces, and isomorphisms, Subspaces,
linear dependence and independence, Bases, Dimension, direct sums, and
isomorphism, Quotient spaces and dual spaces, Linear maps, nullspace and range,
Nullity and rank, Matrices, Changing bases, Conjugacy, types of operators, dual
space, determinants.
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 textbook is suitable for a
sophomore level linear algebra course taught in about twenty-five lectures. It
is designed both for engineering and science majors, but has enough abstraction
to be useful for potential math majors. Our goal in writing it was to produce
students who can perform computations with linear systems and also understand
the concepts behind these computations.
Author(s): David Cherney,
Tom Denton, Rohit Thomas and Andrew Waldron
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.
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 book covers the
following topics: Pari Types, Transcendental and Other Nonrational Functions,
Arithmetic Functions, Polynomials and Power Series, Sums, Products and
Integrals, Basic Programming, Algebraic Number Theory and Elliptic Curves.
This book is not a ”traditional” book in the sense that it does not include
any applications to the material discussed. Its aim is solely to learn the basic
theory of linear algebra within a semester period. Topics covered includes: Linear Systems, Matrices,
Determinants, The Theory of Vector Spaces, Eigenvalues and Diagonalization and
Linear Transformations.