Modern Matrix Algebra

Modern Matrix Algebra
Author: David Ross Hill
Publisher:
Total Pages: 536
Release: 2001
Genre: Algebra
ISBN:

A recapitulation of his earlier work Seeds of Contemplation, this collection of sixteen essays plumbs aspects of human spirituality. Merton addresses those in search of enduring values, fulfillment, and salvation in prose that is, as always, inspiring and compassionate. “A stimulating series of spiritual reflections which will prove helpful for all struggling to...live the richest, fullest and noblest life” (Chicago Tribune).

Introduction to Modern Algebra and Matrix Theory

Introduction to Modern Algebra and Matrix Theory
Author: Otto Schreier
Publisher: Courier Corporation
Total Pages: 402
Release: 2011-01-01
Genre: Mathematics
ISBN: 0486482200

"This unique text provides students with a basic course in both calculus and analytic geometry. It promotes an intuitive approach to calculus and emphasizes algebraic concepts. Minimal prerequisites. Numerous exercises. 1951 edition"--

Advanced Linear Algebra

Advanced Linear Algebra
Author: Steven Roman
Publisher: Springer Science & Business Media
Total Pages: 488
Release: 2007-12-31
Genre: Mathematics
ISBN: 038727474X

Covers a notably broad range of topics, including some topics not generally found in linear algebra books Contains a discussion of the basics of linear algebra

Matrix Algebra

Matrix Algebra
Author: James E. Gentle
Publisher: Springer Science & Business Media
Total Pages: 536
Release: 2007-07-27
Genre: Computers
ISBN: 0387708723

Matrix algebra is one of the most important areas of mathematics for data analysis and for statistical theory. This much-needed work presents the relevant aspects of the theory of matrix algebra for applications in statistics. It moves on to consider the various types of matrices encountered in statistics, such as projection matrices and positive definite matrices, and describes the special properties of those matrices. Finally, it covers numerical linear algebra, beginning with a discussion of the basics of numerical computations, and following up with accurate and efficient algorithms for factoring matrices, solving linear systems of equations, and extracting eigenvalues and eigenvectors.

Linear Algebra and Matrix Theory

Linear Algebra and Matrix Theory
Author: Robert R. Stoll
Publisher: Courier Corporation
Total Pages: 290
Release: 2012-10-17
Genre: Mathematics
ISBN: 0486623181

Advanced undergraduate and first-year graduate students have long regarded this text as one of the best available works on matrix theory in the context of modern algebra. Teachers and students will find it particularly suited to bridging the gap between ordinary undergraduate mathematics and completely abstract mathematics. The first five chapters treat topics important to economics, psychology, statistics, physics, and mathematics. Subjects include equivalence relations for matrixes, postulational approaches to determinants, and bilinear, quadratic, and Hermitian forms in their natural settings. The final chapters apply chiefly to students of engineering, physics, and advanced mathematics. They explore groups and rings, canonical forms for matrixes with respect to similarity via representations of linear transformations, and unitary and Euclidean vector spaces. Numerous examples appear throughout the text.

Modern Higher Algebra

Modern Higher Algebra
Author: Abraham Adrian Albert
Publisher: Courier Dover Publications
Total Pages: 337
Release: 2018-03-21
Genre: Mathematics
ISBN: 0486823849

Originally published: Chicago: University of Chicago Press, 1937.

Linear Algebra: A Modern Introduction

Linear Algebra: A Modern Introduction
Author: David Poole
Publisher: Cengage Learning
Total Pages: 0
Release: 2014-03-19
Genre: Mathematics
ISBN: 9781285463247

David Poole's innovative LINEAR ALGEBRA: A MODERN INTRODUCTION, 4e emphasizes a vectors approach and better prepares students to make the transition from computational to theoretical mathematics. Balancing theory and applications, the book is written in a conversational style and combines a traditional presentation with a focus on student-centered learning. Theoretical, computational, and applied topics are presented in a flexible yet integrated way. Stressing geometric understanding before computational techniques, vectors and vector geometry are introduced early to help students visualize concepts and develop mathematical maturity for abstract thinking. Additionally, the book includes ample applications drawn from a variety of disciplines, which reinforce the fact that linear algebra is a valuable tool for modeling real-life problems. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Linear Algebra and Matrices

Linear Algebra and Matrices
Author: Shmuel Friedland
Publisher: SIAM
Total Pages: 301
Release: 2018-01-30
Genre: Mathematics
ISBN: 161197514X

This introductory textbook grew out of several courses in linear algebra given over more than a decade and includes such helpful material as constructive discussions about the motivation of fundamental concepts, many worked-out problems in each chapter, and topics rarely covered in typical linear algebra textbooks.The authors use abstract notions and arguments to give the complete proof of the Jordan canonical form and, more generally, the rational canonical form of square matrices over fields. They also provide the notion of tensor products of vector spaces and linear transformations. Matrices are treated in depth, with coverage of the stability of matrix iterations, the eigenvalue properties of linear transformations in inner product spaces, singular value decomposition, and min-max characterizations of Hermitian matrices and nonnegative irreducible matrices. The authors show the many topics and tools encompassed by modern linear algebra to emphasize its relationship to other areas of mathematics. The text is intended for advanced undergraduate students. Beginning graduate students seeking an introduction to the subject will also find it of interest.

Hands-on Matrix Algebra Using R

Hands-on Matrix Algebra Using R
Author: Hrishikesh D. Vinod
Publisher: World Scientific
Total Pages: 348
Release: 2011
Genre: Mathematics
ISBN: 9814313688

Teaches matrix algebra, allowing the student to learn the material by actually working with matrix objects in modern computer environment of R. This book provides an overview of matrix theory without being bogged down in proofs or tedium.

Coding the Matrix

Coding the Matrix
Author: Philip N. Klein
Publisher:
Total Pages: 530
Release: 2013-07
Genre: Algebras, Linear
ISBN: 9780615856735

An engaging introduction to vectors and matrices and the algorithms that operate on them, intended for the student who knows how to program. Mathematical concepts and computational problems are motivated by applications in computer science. The reader learns by "doing," writing programs to implement the mathematical concepts and using them to carry out tasks and explore the applications. Examples include: error-correcting codes, transformations in graphics, face detection, encryption and secret-sharing, integer factoring, removing perspective from an image, PageRank (Google's ranking algorithm), and cancer detection from cell features. A companion web site, codingthematrix.com provides data and support code. Most of the assignments can be auto-graded online. Over two hundred illustrations, including a selection of relevant "xkcd" comics. Chapters: "The Function," "The Field," "The Vector," "The Vector Space," "The Matrix," "The Basis," "Dimension," "Gaussian Elimination," "The Inner Product," "Special Bases," "The Singular Value Decomposition," "The Eigenvector," "The Linear Program" A new edition of this text, incorporating corrections and an expanded index, has been issued as of September 4, 2013, and will soon be available on Amazon.