## subcategories

**Introductory** (25)

**Matrices** (12)

## e-books in Linear Algebra category

**The Hermitian Two Matrix Model with an Even Quartic Potential**

by

**M. Duits, A.B.J. Kuijlaars, M. Yue Mo**-

**American Mathematical Society**,

**2012**

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.

(

**445**views)

**An Introduction to Determinants**

by

**William Thomson**,

**1882**

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.

(

**685**views)

**Differential Equations and Linear Algebra**

by

**Simon J.A. Malham**-

**Heriot-Watt University**,

**2010**

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.

(

**1191**views)

**Applied Linear Algebra in Action**

by

**Vasilios N. Katsikis**-

**InTech**,

**2016**

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.

(

**2352**views)

**Applied and Computational Linear Algebra: A First Course**

by

**Charles L. Byrne**-

**University of Massachusetts Lowell**,

**2013**

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.

(

**5282**views)

**Lectures on Linear Algebra and Matrices**

by

**G. Donald Allen**-

**Texas A&M University**,

**2003**

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.

(

**8591**views)

**Notes on Linear Algebra**

by

**Peter J. Cameron**-

**Queen Mary, University of London**,

**2008**

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.

(

**5952**views)

**Linear Algebra: Theorems and Applications**

by

**Hassan Abid Yasser (ed.)**-

**InTech**,

**2012**

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.

(

**4294**views)

**Numerical Methods for Large Eigenvalue Problems**

by

**Yousef Saad**-

**SIAM**,

**2011**

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.

(

**7759**views)

**Linear Algebra**

by

**Peter Petersen**-

**UCLA**,

**2007**

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.

(

**11710**views)

**Notes on Numerical Linear Algebra**

by

**George Benthien**,

**2006**

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.

(

**8348**views)

**Introduction to Linear Bialgebra**

by

**W.B.V. Kandasamy, F. Smarandache, K. Ilanthenral**-

**arXiv**,

**2005**

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.

(

**6671**views)

**n-Linear Algebra of Type II**

by

**W. B. V. Kandasamy, F. Smarandache**-

**InfoLearnQuest**,

**2008**

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.

(

**6572**views)

**n-Linear Algebra of Type I and Its Applications**

by

**W. B. V. Kandasamy, F. Smarandache**-

**InfoLearnQuest**,

**2008**

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.

(

**6558**views)

**Special Set Linear Algebra and Special Set Fuzzy Linear Algebra**

by

**W. B. V. Kandasamy, F. Smarandache, K. Ilanthenral**-

**CuArt**,

**2009**

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.

(

**5996**views)

**Set Linear Algebra and Set Fuzzy Linear Algebra**

by

**W. B. V. Kandasamy, F. Smarandache, K. Ilanthenral**-

**InfoLearnQuest**,

**2008**

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.

(

**7431**views)

**Linear Algebra, Infinite Dimensions, and Maple**

by

**James V. Herod**-

**Georgia Tech**,

**1997**

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.

(

**7570**views)

**Linear Algebra C-4: Quadratic equations in two or three variables**

by

**Leif Mejlbro**-

**BookBoon**,

**2009**

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.

(

**8746**views)

**Linear Algebra C-2: Geometrical Vectors, Vector Spaces and Linear Maps**

by

**Leif Mejlbro**-

**BookBoon**,

**2009**

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.

(

**8608**views)

**Linear Algebra Examples C-1: Linear equations, matrices and determinants**

by

**Leif Mejlbro**-

**BookBoon**,

**2009**

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.

(

**10993**views)

**Grassmann Algebra**

by

**John Browne**,

**2001**

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.

(

**9667**views)

**A Second Semester of Linear Algebra**

by

**S. E. Payne**-

**University of Colorado Denver**,

**2009**

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.

(

**12798**views)

**Linear algebra via exterior products**

by

**Sergei Winitzki**-

**Ludwig-Maximilians University**,

**2009**

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.

(

**9599**views)

**Templates for the Solution of Linear Systems**

by

**Richard Barrett et al.**-

**Society for Industrial Mathematics**,

**1987**

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.

(

**9915**views)

**Super Linear Algebra**

by

**W. B. V. Kandasamy, F. Smarandache**-

**InfoQuest**,

**2008**

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.

(

**9967**views)

**Linear Algebra Review and Reference**

by

**Zico Kolter**-

**Stanford University**,

**2015**

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.).

(

**12886**views)

**Introduction to Vectors and Tensors Volume 1: Linear and Multilinear Algebra**

by

**Ray M. Bowen, C.-C.Wang**-

**Springer**,

**2008**

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.

(

**11875**views)