Matrix Theory and Applications for Scientists and Engineers

Matrix Theory and Applications for Scientists and Engineers
Author: Alexander Graham
Publisher: Courier Dover Publications
Total Pages: 305
Release: 2018-07-18
Genre: Mathematics
ISBN: 0486824195

In this comprehensive text on matrix theory and its applications, Graham explores the underlying principles as well as the numerous applications of the various concepts presented. Includes numerous problems with solutions. 1979 edition.

Matrix Analysis for Scientists and Engineers

Matrix Analysis for Scientists and Engineers
Author: Alan J. Laub
Publisher: SIAM
Total Pages: 159
Release: 2005-01-01
Genre: Mathematics
ISBN: 0898715768

"Prerequisites for using this text are knowledge of calculus and some previous exposure to matrices and linear algebra, including, for example, a basic knowledge of determinants, singularity of matrices, eigenvalues and eigenvectors, and positive definite matrices. There are exercises at the end of each chapter."--BOOK JACKET.

Matrix Operations for Engineers and Scientists

Matrix Operations for Engineers and Scientists
Author: Alan Jeffrey
Publisher: Springer Science & Business Media
Total Pages: 323
Release: 2010-09-05
Genre: Science
ISBN: 9048192749

Engineers and scientists need to have an introduction to the basics of linear algebra in a context they understand. Computer algebra systems make the manipulation of matrices and the determination of their properties a simple matter, and in practical applications such software is often essential. However, using this tool when learning about matrices, without first gaining a proper understanding of the underlying theory, limits the ability to use matrices and to apply them to new problems. This book explains matrices in the detail required by engineering or science students, and it discusses linear systems of ordinary differential equations. These students require a straightforward introduction to linear algebra illustrated by applications to which they can relate. It caters of the needs of undergraduate engineers in all disciplines, and provides considerable detail where it is likely to be helpful. According to the author the best way to understand the theory of matrices is by working simple exercises designed to emphasize the theory, that at the same time avoid distractions caused by unnecessary numerical calculations. Hence, examples and exercises in this book have been constructed in such a way that wherever calculations are necessary they are straightforward. For example, when a characteristic equation occurs, its roots (the eigenvalues of a matrix) can be found by inspection. The author of this book is Alan Jeffrey, Emeritus Professor of mathematics at the University of Newcastle upon Tyne. He has given courses on engineering mathematics at UK and US Universities.

A First Course in Random Matrix Theory

A First Course in Random Matrix Theory
Author: Marc Potters
Publisher: Cambridge University Press
Total Pages: 371
Release: 2020-12-03
Genre: Computers
ISBN: 1108488080

An intuitive, up-to-date introduction to random matrix theory and free calculus, with real world illustrations and Big Data applications.

Matrix Analysis and Applications

Matrix Analysis and Applications
Author: Xian-Da Zhang
Publisher: Cambridge University Press
Total Pages: 761
Release: 2017-10-05
Genre: Computers
ISBN: 1108417418

The theory, methods and applications of matrix analysis are presented here in a novel theoretical framework.

Matrix Logic

Matrix Logic
Author: A. Stern
Publisher: Elsevier
Total Pages: 224
Release: 2014-06-28
Genre: Mathematics
ISBN: 1483295494

In this pioneering work, the author develops a fundamental formulation of logic in terms of theory of matrices and vector spaces. The discovery of matrix logic represents a landmark in the further formalization of logic. For the first time the power of direct mathematical computation is applied to the whole set of logic operations, allowing the derivation of both the classical and modal logics from the same formal base.The new formalism allows the author to enlarge the alphabet of the truth-values with negative logic antivalues and to link matrix logic descriptions with the Dirac formulation of quantum theory - a result having fundamental implications and repercussions for science as a whole.As a unified language which permits a logical examination of the underlying phenomena of quantum field theory and vice versa, matrix logic opens new avenues for the study of fundamental interactions and gives rise to a revolutionary conclusion that physics as such can be viewed and studied as a logic in the fundamental sense.Finally, modelling itself on exact sciences, matrix logic does not refute the classical logic but instead incorporates it as a special deterministic limit. The book requires multidisciplinary knowledge and will be of interest to physicists, mathematicians, computer scientists and engineers.

Matrices

Matrices
Author: Denis Serre
Publisher: Springer Science & Business Media
Total Pages: 291
Release: 2010-10-26
Genre: Mathematics
ISBN: 1441976833

In this book, Denis Serre begins by providing a clean and concise introduction to the basic theory of matrices. He then goes on to give many interesting applications of matrices to different aspects of mathematics and also other areas of science and engineering. With forty percent new material, this second edition is significantly different from the first edition. Newly added topics include: • Dunford decomposition, • tensor and exterior calculus, polynomial identities, • regularity of eigenvalues for complex matrices, • functional calculus and the Dunford–Taylor formula, • numerical range, • Weyl's and von Neumann’s inequalities, and • Jacobi method with random choice. The book mixes together algebra, analysis, complexity theory and numerical analysis. As such, this book will provide many scientists, not just mathematicians, with a useful and reliable reference. It is intended for advanced undergraduate and graduate students with either applied or theoretical goals. This book is based on a course given by the author at the École Normale Supérieure de Lyon.

Matrix, Numerical, and Optimization Methods in Science and Engineering

Matrix, Numerical, and Optimization Methods in Science and Engineering
Author: Kevin W. Cassel
Publisher: Cambridge University Press
Total Pages: 728
Release: 2021-03-04
Genre: Technology & Engineering
ISBN: 1108787622

Address vector and matrix methods necessary in numerical methods and optimization of linear systems in engineering with this unified text. Treats the mathematical models that describe and predict the evolution of our processes and systems, and the numerical methods required to obtain approximate solutions. Explores the dynamical systems theory used to describe and characterize system behaviour, alongside the techniques used to optimize their performance. Integrates and unifies matrix and eigenfunction methods with their applications in numerical and optimization methods. Consolidating, generalizing, and unifying these topics into a single coherent subject, this practical resource is suitable for advanced undergraduate students and graduate students in engineering, physical sciences, and applied mathematics.

Kronecker Products and Matrix Calculus with Applications

Kronecker Products and Matrix Calculus with Applications
Author: Alexander Graham
Publisher: Courier Dover Publications
Total Pages: 145
Release: 2018-06-13
Genre: Mathematics
ISBN: 0486824179

Enhanced by many worked examples, problems, and solutions, this in-depth text is suitable for undergraduates and presents a great deal of information previously only available in specialized and hard-to-find texts. 1981 edition.

The Theory of Matrices

The Theory of Matrices
Author: Peter Lancaster
Publisher: Academic Press
Total Pages: 590
Release: 1985-05-28
Genre: Computers
ISBN: 9780124355606

Matrix algebra; Determinants, inverse matrices, and rank; Linear, euclidean, and unitary spaces; Linear transformations and matrices; Linear transformations in unitary spaces and simple matrices; The jordan canonical form: a geometric approach; Matrix polynomials and normal forms; The variational method; Functions of matrices; Norms and bounds for eigenvalues; Perturbation theory; Linear matrices equations and generalized inverses; Stability problems; Matrix polynomials; Nonnegative matrices.