This book is
meant to provide an introduction to vectors, matrices, and least squares
methods, basic topics in applied linear algebra. Our goal is to give the
beginning student, with little or no prior exposure to linear algebra, a good
grounding in the basic ideas, as well as an appreciation for how they are used
in many applications, including data fitting, machine learning and artificial
intelligence, tomography, image processing, finance, and automatic control
systems. Topics covered includes: Vectors, Norm and distance, Clustering,
Matrices, Linear equations, Matrix multiplication, Linear dynamical systems,
Least squares, Multi-objective least squares, Constrained least squares.
This book is
meant to provide an introduction to vectors, matrices, and least squares
methods, basic topics in applied linear algebra. Our goal is to give the
beginning student, with little or no prior exposure to linear algebra, a good
grounding in the basic ideas, as well as an appreciation for how they are used
in many applications, including data fitting, machine learning and artificial
intelligence, tomography, image processing, finance, and automatic control
systems. Topics covered includes: Vectors, Norm and distance, Clustering,
Matrices, Linear equations, Matrix multiplication, Linear dynamical systems,
Least squares, Multi-objective least squares, Constrained least squares.
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 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 book explains the following topics related to Linear Algebra: Vectors, Linear Equations, Matrix Algebra, Determinants, Eigenvalues and
Eigenvectors, Linear Transformations, Dimension, Similarity and
Diagonalizability, Complex Numbers, Projection Theorem, Gram-Schmidt
Orthonormalization, QR Factorization, Least Squares Approximation, Orthogonal
(Unitary) Diagonalizability, Systems of Differential Equations, Quadratic Forms,
Vector Spaces and the Pseudoinverse.
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.
These notes are concerned with algebraic number theory, and the sequel
with class field theory. Topics covered includes: Preliminaries from Commutative
Algebra, Rings of Integers, Dedekind Domains- Factorization, The Unit Theorem,
Cyclotomic Extensions- Fermat’s Last Theorem, Absolute Values- Local Fieldsand
Global Fields.
This
book covers the following topics:
Ring Theory Background, Primary Decomposition and Associated
Primes, Integral Extensions, Valuation Rings, Completion, Dimension Theory,
Depth, Homological Methods and Regular Local Rings.
Author(s): Robert
B. Ash, Professor Emeritus, Mathematics
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.