 # Linear Algebra

## subcategories

Introductory (30)
Matrices (15)

## e-books in Linear Algebra category Linear Algebra
by - University of California ,
From the table of contents: K-modules and linear transformations; Linear independence, spanning, bases, and dimension; Coordinates, column vectors, and matrices; Eigenstuff; Multilinear algebra and tensors; Inner-product spaces; Applications.
(4268 views) The Theory of Determinants and Their Applications
by - Cambridge University Press ,
In the present treatise I have attempted to give an exposition of the Theory of Determinants and their more important applications. The treatise uses Grassmann's alternate units, by means of which the study of determinants is much simplified.
(2761 views) The Hermitian Two Matrix Model with an Even Quartic Potential
by - American Mathematical Society ,
The authors consider the two matrix model with an even quartic potential and an even polynomial potential. The main result is the formulation of a vector equilibrium problem for the limiting mean density for the eigenvalues of one of the matrices.
(3653 views) An Introduction to Determinants
by ,
Every important principle has been illustrated by copious examples, a considerable number of which have been fully worked out. As my main object has been to produce a textbook suitable for beginners, many important theorems have been omitted.
(4352 views) Differential Equations and Linear Algebra
by - Heriot-Watt University ,
From the table of contents: Linear second order ODEs; Homogeneous linear ODEs; Non-homogeneous linear ODEs; Laplace transforms; Linear algebraic equations; Matrix Equations; Linear algebraic eigenvalue problems; Systems of differential equations.
(7585 views) Applied Linear Algebra in Action
by - InTech ,
Topics: Matrices, Moments and Quadrature; Structured Approaches to General Inverse Eigenvalue Problems; Eigenvalue Problems; Nonnegative Inverse Elementary Divisors Problem; Some Recent Advances in Nonlinear Inverse Scattering in 2D; and more.
(6295 views) Applied and Computational Linear Algebra: A First Course
by - University of Massachusetts Lowell ,
This book is a text for a graduate course that focuses on applications of linear algebra and on the algorithms used to solve the problems that arise in those applications. Tthe particular nature of the applications will prompt us to seek algorithms.
(8662 views) Lectures on Linear Algebra and Matrices
by - Texas A&M University ,
Contents: Vectors and Vector Spaces; Matrices and Linear Algebra; Eigenvalues and Eigenvectors; Unitary Matrices; Hermitian Theory; Normal Matrices; Factorization Theorems; Jordan Normal Form; Hermitian and Symmetric Matrices; Nonnegative Matrices.
(12268 views) Notes on Linear Algebra
by - Queen Mary, University of London ,
On the theoretical side, we deal with vector spaces, linear maps, and bilinear forms. On the practical side, the subject is really about one thing: matrices. This module is a mixture of abstract theory and concrete calculations with matrices.
(9516 views) Linear Algebra: Theorems and Applications
by - InTech ,
This book contains selected topics in linear algebra, which represent the recent contributions in the field. It includes a range of theorems and applications in different branches of linear algebra, such as linear systems, matrices, operators, etc.
(8281 views) Numerical Methods for Large Eigenvalue Problems
by - SIAM ,
This book discusses numerical methods for computing eigenvalues and eigenvectors of large sparse matrices. It provides an in-depth view of the numerical methods for solving matrix eigenvalue problems that arise in various engineering applications.
(11331 views) Linear Algebra
by - UCLA ,
This book covers the aspects of linear algebra that are included in most advanced undergraduate texts: complex vectors spaces, complex inner products, spectral theorem for normal operators, dual spaces, quotient spaces, the minimal polynomial, etc.
(17210 views) Notes on Numerical Linear Algebra
by ,
Tutorial describing many of the standard numerical methods used in Linear Algebra. Topics include Gaussian Elimination, LU and QR Factorizations, The Singular Value Decomposition, Eigenvalues and Eigenvectors via the QR Method, etc.
(11794 views) Introduction to Linear Bialgebra
by - arXiv ,
This book introduced a new algebraic structure called linear bialgebra. We have ventured in this book to introduce new concepts like linear bialgebra and Smarandache neutrosophic linear bialgebra and also give the applications of these structures.
(10021 views) n-Linear Algebra of Type II
by - InfoLearnQuest ,
This book is a continuation of the book n-linear algebra of type I. Most of the properties that could not be derived or defined for n-linear algebra of type I is made possible in this new structure which is introduced in this book.
(9809 views) n-Linear Algebra of Type I and Its Applications
by - InfoLearnQuest ,
n-Linear Algebra of type I introduced in this book finds applications in Markov chains and Leontief economic models. Scientists and engineers can adopt this concept in fuzzy finite element analysis of mechanical structures with uncertain parameters.
(9846 views) Special Set Linear Algebra and Special Set Fuzzy Linear Algebra
by - CuArt ,
Special Set Linear Algebras introduced by the authors in this free book is an extension of Set Linear Algebras, which are the most generalized form of linear algebras. These structures can be applied to multi-expert models.
(9301 views) Set Linear Algebra and Set Fuzzy Linear Algebra
by - InfoLearnQuest ,
Set linear algebras, introduced by the authors in this book, are the most generalized form of linear algebras. These structures make use of very few algebraic operations and are easily accessible to non-mathematicians as well.
(10860 views) Linear Algebra, Infinite Dimensions, and Maple
by - Georgia Tech ,
These notes are about linear operators on Hilbert Spaces. The text is an attempt to provide a way to understand the ideas without the students already having the mathematical maturity that a good undergraduate analysis course could provide.
(11078 views) Linear Algebra C-4: Quadratic equations in two or three variables
by - BookBoon ,
The book is a collection of solved problems in linear algebra, this fourth volume covers quadratic equations in two or three variables. All examples are solved, and the solutions usually consist of step-by-step instructions.
(12144 views) Linear Algebra C-2: Geometrical Vectors, Vector Spaces and Linear Maps
by - BookBoon ,
The book is a collection of solved problems in linear algebra. The second volume covers geometrical vectors, vector spaces and linear maps. All examples are solved, and the solutions usually consist of step-by-step instructions.
(12133 views) Linear Algebra Examples C-1: Linear equations, matrices and determinants
by - BookBoon ,
The book is a collection of solved problems in linear equations, matrices and determinants. All examples are solved, and the solutions consist of step-by-step instructions, and are designed to assist students in methodically solving problems.
(14652 views) Grassmann Algebra
by ,
The primary focus of this book is to provide a readable account in modern notation of Grassmann's major algebraic contributions to mathematics and science. It should be accessible to scientists and engineers, students and professionals alike.
(13957 views) A Second Semester of Linear Algebra
by - University of Colorado Denver ,
This book is written as a text for a second semester of linear algebra at the senior or first-year-graduate level. It is assumed that you already have successfully completed a first course in linear algebra and a first course in abstract algebra.
(16945 views) Linear algebra via exterior products
by - Ludwig-Maximilians University ,
An introduction to the coordinate-free approach in basic finite-dimensional linear algebra. The reader should be already exposed to the elementary vector and matrix calculations. The author makes extensive use of the exterior product of vectors.
(14234 views) Templates for the Solution of Linear Systems
by - Society for Industrial Mathematics ,
The book focuses on the use of iterative methods for solving large sparse systems of linear equations. General and reusable templates are introduced to meet the needs of both the traditional user and the high-performance specialist.
(13520 views) Super Linear Algebra
by - InfoQuest ,
In this book, the authors introduce the notion of Super linear algebra and super vector spaces using the definition of super matrices defined by Horst (1963). This book expects the readers to be well-versed in linear algebra.
(14005 views) Linear Algebra Review and Reference
by - Stanford University ,
From the tabble of contents: Basic Concepts and Notation; Matrix Multiplication; Operations and Properties; Matrix Calculus (Gradients and Hessians of Quadratic and Linear Functions, Least Squares, Eigenvalues as Optimization, etc.).
(16315 views) Introduction to Vectors and Tensors Volume 1: Linear and Multilinear Algebra
by - Springer ,
This book presents the basics of vector and tensor analysis for science and engineering students. Volume 1 covers algebraic structures and a modern introduction to the algebra of vectors and tensors. Clear presentation of mathematical concepts.
(16502 views)