Books in Linear and multilinear algebra matrix theory

Matlab

2nd Edition
June 30, 2011
Dorothy C. Attaway
English
eBook
9 7 8 0 1 2 3 8 5 0 8 2 9

MATLAB: A Practical Introduction to Programming and Problem Solving, Second Edition, is the only book that gives a full introduction to programming in MATLAB combined with an explanation of MATLAB’s powerful functions, enabling engineers to fully exploit the software’s power to solve engineering problems. The text aims to provide readers with the knowledge of the fundamentals of programming concepts and the skills and techniques needed for basic problem solving using MATLAB as the vehicle. The book presents programming concepts such as variables, assignments, input/output, and selection statements as well as MATLAB built-in functions side-by-side, giving students the ability to program efficiently and exploit the power of MATLAB to solve problems. In-depth coverage is given to input/output, a topic that is fundamental to many engineering applications. A systematic, step-by-step approach that builds on concepts is used throughout the book, facilitating easier learning. There are also sections on ‘common pitfalls’ and ‘programming guidelines’ that direct students towards best practice. This book will be an invaluable resource for engineers, engineering novices, and students learning to program and model in MATLAB.

Elementary Linear Algebra

4th Edition
December 28, 2009
Stephen Andrilli + 1 more
English
eBook
9 7 8 0 0 8 0 8 8 6 2 5 1

Elementary Linear Algebra develops and explains in careful detail the computational techniques and fundamental theoretical results central to a first course in linear algebra. This highly acclaimed text focuses on developing the abstract thinking essential for further mathematical study The authors give early, intensive attention to the skills necessary to make students comfortable with mathematical proofs. The text builds a gradual and smooth transition from computational results to general theory of abstract vector spaces. It also provides flexbile coverage of practical applications, exploring a comprehensive range of topics. Ancillary list:* Maple Algorithmic testing- Maple TA- www.maplesoft.com

Linear Algebra with Mathematica

1st Edition
December 2, 2009
Fred Szabo
English
Paperback
9 7 8 0 1 2 3 8 1 4 0 1 2

Linear Algebra: An Introduction With Mathematica uses a matrix-based presentation and covers the standard topics any mathematician will need to understand linear algebra while using Mathematica. Development of analytical and computational skills is emphasized, and worked examples provide step-by-step methods for solving basic problems using Mathematica. The subject's rich pertinence to problem solving across disciplines is illustrated with applications in engineering, the natural sciences, computer animation, and statistics.

Matrix Methods

3rd Edition
September 4, 2008
Richard Bronson + 1 more
English
eBook
9 7 8 0 0 8 0 9 2 2 2 5 6

Matrix Methods: Applied Linear Algebra, Third Edition, as a textbook, provides a unique and comprehensive balance between the theory and computation of matrices. The application of matrices is not just for mathematicians. The use by other disciplines has grown dramatically over the years in response to the rapid changes in technology. Matrix methods is the essence of linear algebra and is what is used to help physical scientists; chemists, physicists, engineers, statisticians, and economists solve real world problems.

Linear Algebra

2nd Edition
March 5, 2007
Richard Bronson + 1 more
English
eBook
9 7 8 0 0 8 0 5 1 0 2 6 2

In this appealing and well-written text, Richard Bronson gives readers a substructure for a firm understanding of the abstract concepts of linear algebra and its applications. The author starts with the concrete and computational, and leads the reader to a choice of major applications (Markov chains, least-squares approximation, and solution of differential equations using Jordan normal form). The first three chapters address the basics: matrices, vector spaces, and linear transformations. The next three cover eigenvalues, Euclidean inner products, and Jordan canonical forms, offering possibilities that can be tailored to the instructor's taste and to the length of the course. Bronson's approach to computation is modern and algorithmic, and his theory is clean and straightforward. Throughout, the views of the theory presented are broad and balanced. Key material is highlighted in the text and summarized at the end of each chapter. The book also includes ample exercises with answers and hints. With its inclusion of all the needed features, this text will be a pleasure for professionals, teachers, and students.

Discrete Cosine and Sine Transforms

1st Edition
September 2, 2006
Vladimir Britanak + 2 more
English
eBook
9 7 8 0 0 8 0 4 6 4 6 4 0

The Discrete Cosine Transform (DCT) is used in many applications by the scientific, engineering and research communities and in data compression in particular. Fast algorithms and applications of the DCT Type II (DCT-II) have become the heart of many established international image/video coding standards. Since then other forms of the DCT and Discrete Sine Transform (DST) have been investigated in detail. This new edition presents the complete set of DCT and DST discrete trigonometric transforms, including their definitions, general mathematical properties, and relations to the optimal Karhunen-Loéve transform (KLT), with the emphasis on fast algorithms (one-dimensional and two-dimensional) and integer approximations of DCTs and DSTs for their efficient implementations in the integer domain. DCTs and DSTs are real-valued transforms that map integer-valued signals to floating-point coefficients. To eliminate the floating-point operations, various methods of integer approximations have been proposed to construct and flexibly generate a family of integer DCT and DST transforms with arbitrary accuracy and performance. The integer DCTs/DSTs with low-cost and low-powered implementation can replace the corresponding real-valued transforms in wireless and satellite communication systems as well as portable computing applications. The book is essentially a detailed excursion on orthogonal/orthonormal DCT and DST matrices, their matrix factorizations and integer aproximations. It is hoped that the book will serve as a valuable reference for industry, academia and research institutes in developing integer DCTs and DSTs as well as an inspiration source for further advanced research.

Random Matrices

3rd Edition
Volume 142
October 6, 2004
Madan Lal Mehta
English
Hardback
9 7 8 0 1 2 0 8 8 4 0 9 4
eBook
9 7 8 0 0 8 0 4 7 4 1 1 3

Random Matrices gives a coherent and detailed description of analytical methods devised to study random matrices. These methods are critical to the understanding of various fields in in mathematics and mathematical physics, such as nuclear excitations, ultrasonic resonances of structural materials, chaotic systems, the zeros of the Riemann and other zeta functions. More generally they apply to the characteristic energies of any sufficiently complicated system and which have found, since the publication of the second edition, many new applications in active research areas such as quantum gravity, traffic and communications networks or stock movement in the financial markets. This revised and enlarged third edition reflects the latest developements in the field and convey a greater experience with results previously formulated. For example, the theory of skew-orthogoanl and bi-orthogonal polynomials, parallel to that of the widely known and used orthogonal polynomials, is explained here for the first time.

Elementary Linear Algebra

3rd Edition
October 31, 2003
Stephen Andrilli + 1 more
English
eBook
9 7 8 0 0 8 0 5 7 4 9 9 8

The transition to upper-level math courses is often difficult because of the shift in emphasis from computation (in calculus) to abstraction and proof (in junior/senior courses). This book provides guidance with the reading and writing of short proofs, and incorporates a gradual increase in abstraction as the chapters progress. This helps students prepare to meet the challenges of future courses such as abstract algebra and elementary analysis.

Handbook of Algebra

1st Edition
Volume 3
October 1, 2003
M. Hazewinkel
English
eBook
9 7 8 0 0 8 0 5 3 2 9 7 4

Perturbation Theory for Matrix Equations

1st Edition
Volume 9
May 20, 2003
M. Konstantinov + 3 more
English
eBook
9 7 8 0 0 8 0 5 3 8 6 7 9

The book is devoted to the perturbation analysis of matrix equations. The importance of perturbation analysis is that it gives a way to estimate the influence of measurement and/or parametric errors in mathematical models together with the rounding errors done in the computational process. The perturbation bounds may further be incorporated in accuracy estimates for the solution computed in finite arithmetic. This is necessary for the development of reliable computational methods, algorithms and software from the viewpoint of modern numerical analysis.In this book a general perturbation theory for matrix algebraic equations is presented. Local and non-local perturbation bounds are derived for general types of matrix equations as well as for the most important equations arising in linear algebra and control theory. A large number of examples, tables and figures is included in order to illustrate the perturbation techniques and bounds.Key features:• The first book in this field• Can be used by a variety of specialists• Material is self-contained• Results can be used in the development of reliable computational algorithms• A large number of examples and graphical illustrations are given• Written by prominent specialists in the field

Life Sciences

Physical Sciences & Engineering

Social Sciences & Humanities

Health

Books in Linear and multilinear algebra matrix theory

Matlab

Elementary Linear Algebra

Linear Algebra with Mathematica

Matrix Methods

Linear Algebra

Discrete Cosine and Sine Transforms

Random Matrices

Elementary Linear Algebra

Handbook of Algebra

Perturbation Theory for Matrix Equations