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Books
Matrices
Schaum's Outline of Matrix Operations (Schaum's Outline Series)
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Author: Richard Bronson

The ideal review for your matrix operations course More than 40 million students have trusted Schaum’s Outlines for their expert knowledge and helpful solved problems. Written by renowned experts in their respective fields, Schaum’s Outlines cover everything from math to science, nursing to language. The main feature for all these books is the solved problems. Stepbystep, authors walk readers through coming up with solutions to exercises in their topic of choice.  363 detailed problems with stepbystep solutions
 Clear, concise explanations of matrix operations
 Help with Eigenvalues and the QR Algorithm
 A solvedproblem approach that teaches you with handson help
 Exercises for improving your problemsolving skills
Features:
 Math
 Matix Operations
 Richard Bronson
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Matrix Algebra From a Statistician's Perspective
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Author: David A. Harville

A knowledge of matrix algebra is a prerequisite for the study of much of modern statistics, especially the areas of linear statistical models and multivariate statistics. This reference book provides the background in matrix algebra necessary to do research and understand the results in these areas. Essentially selfcontained, the book is bestsuited for a reader who has had some previous exposure to matrices. Solultions to the exercises are available in the author's "Matrix Algebra: Exercises and Solutions."
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Matrix Mathematics: Theory, Facts, and Formulas (Second Edition)
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Author: Dennis S. Bernstein
Brand: Brand: Princeton University Press

When first published in 2005, Matrix Mathematics quickly became the essential reference book for users of matrices in all branches of engineering, science, and applied mathematics. In this fully updated and expanded edition, the author brings together the latest results on matrix theory to make this the most complete, current, and easytouse book on matrices. Each chapter describes relevant background theory followed by specialized results. Hundreds of identities, inequalities, and matrix facts are stated clearly and rigorously with cross references, citations to the literature, and illuminating remarks. Beginning with preliminaries on sets, functions, and relations,Matrix Mathematics covers all of the major topics in matrix theory, including matrix transformations; polynomial matrices; matrix decompositions; generalized inverses; Kronecker and Schur algebra; positivesemidefinite matrices; vector and matrix norms; the matrix exponential and stability theory; and linear systems and control theory. Also included are a detailed list of symbols, a summary of notation and conventions, an extensive bibliography and author index with page references, and an exhaustive subject index. This significantly expanded edition of Matrix Mathematics features a wealth of new material on graphs, scalar identities and inequalities, alternative partial orderings, matrix pencils, finite groups, zeros of multivariable transfer functions, roots of polynomials, convex functions, and matrix norms.  Covers hundreds of important and useful results on matrix theory, many never before available in any book
 Provides a list of symbols and a summary of conventions for easy use
 Includes an extensive collection of scalar identities and inequalities
 Features a detailed bibliography and author index with page references
 Includes an exhaustive subject index with crossreferencing
Features:
 Used Book in Good Condition
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Matrix Algebra Useful for Statistics
Lowest new price: $79.31
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List price: $135.00
Author: Shayle R. Searle

WILEYINTERSCIENCE PAPERBACK SERIES
The WileyInterscience Paperback Series consists of selected books that have been made more accessible to consumers in an effort to increase global appeal and general circulation. With these new unabridged softcover volumes, Wiley hopes to extend the lives of these works by making them available to future generations of statisticians, mathematicians, and scientists.
"This book is intended to teach useful matrix algebra to 'students, teachers, consultants, researchers, and practitioners' in 'statistics and other quantitative methods'.The author concentrates on practical matters, and writes in a friendly and informal style . . . this is a useful and enjoyable book to have at hand." Biometrics
This book is an easytounderstand guide to matrix algebra and its uses in statistical analysis. The material is presented in an explanatory style rather than the formal theoremproof format. This selfcontained text includes numerous applied illustrations, numerical examples, and exercises.
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Linear Algebra and Matrix Analysis for Statistics (Chapman & Hall/CRC Texts in Statistical Science)
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Author: Sudipto Banerjee

Linear Algebra and Matrix Analysis for Statistics offers a gradual exposition to linear algebra without sacrificing the rigor of the subject. It presents both the vector space approach and the canonical forms in matrix theory. The book is as selfcontained as possible, assuming no prior knowledge of linear algebra. The authors first address the rudimentary mechanics of linear systems using Gaussian elimination and the resulting decompositions. They introduce Euclidean vector spaces using less abstract concepts and make connections to systems of linear equations wherever possible. After illustrating the importance of the rank of a matrix, they discuss complementary subspaces, oblique projectors, orthogonality, orthogonal projections and projectors, and orthogonal reduction. The text then shows how the theoretical concepts developed are handy in analyzing solutions for linear systems. The authors also explain how determinants are useful for characterizing and deriving properties concerning matrices and linear systems. They then cover eigenvalues, eigenvectors, singular value decomposition, Jordan decomposition (including a proof), quadratic forms, and Kronecker and Hadamard products. The book concludes with accessible treatments of advanced topics, such as linear iterative systems, convergence of matrices, more general vector spaces, linear transformations, and Hilbert spaces.
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Matrix Analysis for Scientists and Engineers
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Author: Alan J. Laub
Brand: Brand: SIAM: Society for Industrial and Applied Mathematics

Matrix Analysis for Scientists and Engineers provides a blend of undergraduate and graduatelevel topics in matrix theory and linear algebra that relieves instructors of the burden of reviewing such material in subsequent courses that depend heavily on the language of matrices. Consequently, the text provides an oftenneeded bridge between undergraduatelevel matrix theory and linear algebra and the level of matrix analysis required for graduatelevel study and research. The text is sufficiently compact that the material can be taught comfortably in a onequarter or onesemester course. Throughout the book, the author emphasizes the concept of matrix factorization to provide a foundation for a later course in numerical linear algebra. The author addresses connections to differential and difference equations as well as to linear system theory and encourages instructors to augment these examples with other applications of their own choosing.
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 Used Book in Good Condition
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Matrix Methods, Third Edition: Applied Linear Algebra
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Author: Richard Bronson

Matrix Methods: Applied Linear Algebra, 3e, 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.
* Applications like Markov chains, graph theory and Leontief Models are placed in early chapters * Readability The prerequisite for most of the material is a firm understanding of algebra * New chapters on Linear Programming and Markov Chains * Appendix referencing the use of technology, with special emphasis on computer algebra systems (CAS) MATLAB
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A Course in Metric Geometry
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Author: Dmitri Burago
Brand: Brand: American Mathematical Society

"Metric geometry" is an approach to geometry based on the notion of length on a topological space. This approach experienced a very fast development in the last few decades and penetrated into many other mathematical disciplines, such as group theory, dynamical systems, and partial differential equations. The objective of this graduate textbook is twofold: to give a detailed exposition of basic notions and techniques used in the theory of length spaces, and, more generally, to offer an elementary introduction into a broad variety of geometrical topics related to the notion of distance, including Riemannian and CarnotCaratheodory metrics, the hyperbolic plane, distancevolume inequalities, asymptotic geometry (large scale, coarse), Gromov hyperbolic spaces, convergence of metric spaces, and Alexandrov spaces (nonpositively and nonnegatively curved spaces). The authors tend to work with "easytotouch" mathematical objects using "easytovisualize" methods. The authors set a challenging goal of making the core parts of the book accessible to firstyear graduate students. Most new concepts and methods are introduced and illustrated using simplest cases and avoiding technicalities. The book contains many exercises, which form a vital part of exposition.
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 Used Book in Good Condition
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Direct Methods for Sparse Linear Systems (Fundamentals of Algorithms)
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Author: Timothy A. Davis

Fundamentals of Algorithms 2 Computational scientists often encounter problems requiring the solution of sparse systems of linear equations. Attacking these problems efficiently requires an indepth knowledge of the underlying theory, algorithms, and data structures found in sparse matrix software libraries. Here, Davis presents the fundamentals of sparse matrix algorithms to provide the requisite background. The book includes CSparse, a concise downloadable sparse matrix package that illustrates the algorithms and theorems presented in the book and equips readers with the tools necessary to understand larger and more complex software packages. With a strong emphasis on MATLAB® and the C programming language, Direct Methods for Sparse Linear Systems equips readers with the working knowledge required to use sparse solver packages and write code to interface applications to those packages. The book also explains how MATLAB performs its sparse matrix computations. This invaluable book is essential to computational scientists and software developers who want to understand the theory and algorithms behind modern techniques used to solve large sparse linear systems. The book also serves as an excellent practical resource for students with an interest in combinatorial scientific computing. Preface; Chapter 1: Introduction; Chapter 2: Basic algorithms; Chapter 3: Solving triangular systems; Chapter 4: Cholesky factorization; Chapter 5: Orthogonal methods; Chapter 6: LU factorization; Chapter 7: Fillreducing orderings; Chapter 8: Solving sparse linear systems; Chapter 9: CSparse; Chapter 10: Sparse matrices in MATLAB; Appendix: Basics of the C programming language; Bibliography; Index. "Overall, the book is magnificent. It fills a longfelt need for an accessible textbook on modern sparse direct methods. Its choice of scope is excellent.." John Gilbert, Professor, Department of Computer Science, University of California, Santa Barbara.
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Numerical Methods: Design, Analysis, and Computer Implementation of Algorithms
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Author: Anne Greenbaum
Brand: Brand: Princeton University Press

Numerical Methods provides a clear and concise exploration of standard numerical analysis topics, as well as nontraditional ones, including mathematical modeling, Monte Carlo methods, Markov chains, and fractals. Filled with appealing examples that will motivate students, the textbook considers modern application areas, such as information retrieval and animation, and classical topics from physics and engineering. Exercises use MATLAB and promote understanding of computational results.
The book gives instructors the flexibility to emphasize different aspectsdesign, analysis, or computer implementationof numerical algorithms, depending on the background and interests of students. Designed for upperdivision undergraduates in mathematics or computer science classes, the textbook assumes that students have prior knowledge of linear algebra and calculus, although these topics are reviewed in the text. Short discussions of the history of numerical methods are interspersed throughout the chapters. The book also includes polynomial interpolation at Chebyshev points, use of the MATLAB package Chebfun, and a section on the fast Fourier transform. Supplementary materials are available online.  Clear and concise exposition of standard numerical analysis topics
 Explores nontraditional topics, such as mathematical modeling and Monte Carlo methods
 Covers modern applications, including information retrieval and animation, and classical applications from physics and engineering
 Promotes understanding of computational results through MATLAB exercises
 Provides flexibility so instructors can emphasize mathematical or applied/computational aspects of numerical methods or a combination
 Includes recent results on polynomial interpolation at Chebyshev points and use of the MATLAB package Chebfun
 Short discussions of the history of numerical methods interspersed throughout
 Supplementary materials available online
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 Used Book in Good Condition
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