Linear Algebra and Its Applications

Author: Peter D. Lax

Publisher: John Wiley & Sons

ISBN: 1118626923

Category: Mathematics

Page: 392

View: 5346

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Praise for the First Edition ". . .recommended for the teacher and researcher as well as forgraduate students. In fact, [it] has a place on everymathematician's bookshelf." -American Mathematical Monthly Linear Algebra and Its Applications, Second Edition presents linearalgebra as the theory and practice of linear spaces and linear mapswith a unique focus on the analytical aspects as well as thenumerous applications of the subject. In addition to thoroughcoverage of linear equations, matrices, vector spaces, game theory,and numerical analysis, the Second Edition featuresstudent-friendly additions that enhance the book's accessibility,including expanded topical coverage in the early chapters,additional exercises, and solutions to selected problems. Beginning chapters are devoted to the abstract structure of finitedimensional vector spaces, and subsequent chapters addressconvexity and the duality theorem as well as describe the basics ofnormed linear spaces and linear maps between normed spaces. Further updates and revisions have been included to reflect themost up-to-date coverage of the topic, including: The QR algorithm for finding the eigenvalues of a self-adjointmatrix The Householder algorithm for turning self-adjoint matricesinto tridiagonal form The compactness of the unit ball as a criterion of finitedimensionality of a normed linear space Additionally, eight new appendices have been added and cover topicssuch as: the Fast Fourier Transform; the spectral radius theorem;the Lorentz group; the compactness criterion for finitedimensionality; the characterization of commentators; proof ofLiapunov's stability criterion; the construction of the JordanCanonical form of matrices; and Carl Pearcy's elegant proof ofHalmos' conjecture about the numerical range of matrices. Clear, concise, and superbly organized, Linear Algebra and ItsApplications, Second Edition serves as an excellent text foradvanced undergraduate- and graduate-level courses in linearalgebra. Its comprehensive treatment of the subject also makes itan ideal reference or self-study for industry professionals.

Linear Algebra and Its Applications

Author: Gilbert Strang

Publisher: Editorial Paraninfo

ISBN: 9780030105678

Category: Mathematics

Page: 487

View: 1537

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Strang demonstrates that linear algebra is a fascinating subject by showing both its beauty and value. While the mathematics is there, the effort is not all concentrated on the proofs. Strang's emphasis is on providing understanding.

Matrix Algebra and Its Applications to Statistics and Econometrics

Author: C Radhakrishna Rao,M Bhaskara Rao

Publisher: World Scientific

ISBN: 981449691X

Category: Mathematics

Page: 556

View: 9426

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Written by two top statisticians with experience in teaching matrix methods for applications in statistics, econometrics and related areas, this book provides a comprehensive treatment of the latest techniques in matrix algebra. A well-balanced approach to discussing the mathematical theory and applications to problems in other areas is an attractive feature of the book. It can be used as a textbook in courses on matrix algebra for statisticians, econometricians and mathematicians as well. Some of the new developments of linear models are given in some detail using results of matrix algebra. Contents:Vector SpacesUnitary and Euclidean SpacesLinear Transformations and MatricesCharacteristics of MatricesFactorization of MatricesOperations on MatricesProjectors and Idempotent OperatorsGeneralized InversesMajorizationInequalities for EigenvaluesMatrix ApproximationsOptimization Problems in Statistics and EconometricsQuadratic SubspacesInequalities with Applications in StatisticsNon-negative MatricesMiscellaneous Complements Readership: Graduate students, researchers and scientists in economics, biology, engineering and physics. keywords:Matrices;Matrix Inequalities;Matrix Approximations;Singular Value;Decomposition;Generalized Matrix Inverse;Spectral Theory;Statistical Applications;Econometric Models;Growth Models “I recommend this book for its extensive coverage of topics not easily found elsewhere and for its focus on applications.” Zentralblatt MATH “The book is an excellent source on linear algebra, matrix theory and applications in statistics and econometrics, and is unique in many ways. I recommend it to anyone interested in these disciplines, and especially in how they benefit from one another.” Statistical Papers “… there is a category of readers that would certainly benefit from this book: statisticians who have obtained their knowledge of matrix algebra in a piecemeal fashion and now want to systematically improve their knowledge of the theory and their skills in manipulating matrices.” Journal of the American Statistical Association

Linear Algebra and Its Applications, Books a la Carte Edition

Author: David C. Lay,Steven R. Lay,Judi J. McDonald

Publisher: Pearson

ISBN: 9780321982650

Category: Mathematics

Page: 576

View: 772

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NOTE: This edition features the same content as the traditional text in a convenient, three-hole-punched, loose-leaf version. Books a la Carte also offer a great value--this format costs significantly less than a new textbook. Before purchasing, check with your instructor or review your course syllabus to ensure that you select the correct ISBN. Several versions of Pearson's MyLab & Mastering products exist for each title, including customized versions for individual schools, and registrations are not transferable. In addition, you may need a CourseID, provided by your instructor, to register for and use Pearson's MyLab & Mastering products. xxxxxxxxxxxxxxx For courses in linear algebra. With traditional linear algebra texts, the course is relatively easy for students during the early stages as material is presented in a familiar, concrete setting. However, when abstract concepts are introduced, students often hit a wall. Instructors seem to agree that certain concepts (such as linear independence, spanning, subspace, vector space, and linear transformations) are not easily understood and require time to assimilate. These concepts are fundamental to the study of linear algebra, so students' understanding of them is vital to mastering the subject. This text makes these concepts more accessible by introducing them early in a familiar, concrete Rn setting, developing them gradually, and returning to them throughout the text so that when they are discussed in the abstract, students are readily able to understand. Also available with MyMathLab MyMathLab is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. MyMathLab includes assignable algorithmic exercises, the complete eBook, interactive figures, tools to personalize learning, and more.

Linear Algebra

Theory and Applications

Author: Ward Cheney,David Kincaid

Publisher: Jones & Bartlett Publishers

ISBN: 1449613527

Category: Computers

Page: 624

View: 2511

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Ward Cheney and David Kincaid have developed Linear Algebra: Theory and Applications, Second Edition, a multi-faceted introductory textbook, which was motivated by their desire for a single text that meets the various requirements for differing courses within linear algebra. For theoretically-oriented students, the text guides them as they devise proofs and deal with abstractions by focusing on a comprehensive blend between theory and applications. For application-oriented science and engineering students, it contains numerous exercises that help them focus on understanding and learning not only vector spaces, matrices, and linear transformations, but uses of software tools available for use in applied linear algebra. Using a flexible design, it is an ideal textbook for instructors who wish to make their own choice regarding what material to emphasis, and to accentuate those choices with homework assignments from a large variety of exercises, both in the text and online.

Linear Algebra and Its Applications, Books a la Carte Edition Plus Mymathlab with Pearson Etext -- Access Code Card

Author: David C. Lay,Steven R. Lay,Judi J. McDonald

Publisher: Pearson College Division

ISBN: 9780321989925

Category: Mathematics

Page: 494

View: 3572

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NOTE: This edition features the same content as the traditional text in a convenient, three-hole-punched, loose-leaf version. Books a la Carte also offer a great value--this format costs significantly less than a new textbook. Before purchasing, check with your instructor or review your course syllabus to ensure that you select the correct ISBN. Several versions of Pearson's MyLab & Mastering products exist for each title, including customized versions for individual schools, and registrations are not transferable. In addition, you may need a CourseID, provided by your instructor, to register for and use Pearson's MyLab & Mastering products. xxxxxxxxxxxxxxx For courses in linear algebra. This package includes MyMathLab®. With traditional linear algebra texts, the course is relatively easy for students during the early stages as material is presented in a familiar, concrete setting. However, when abstract concepts are introduced, students often hit a wall. Instructors seem to agree that certain concepts (such as linear independence, spanning, subspace, vector space, and linear transformations) are not easily understood and require time to assimilate. These concepts are fundamental to the study of linear algebra, so students' understanding of them is vital to mastering the subject. This text makes these concepts more accessible by introducing them early in a familiar, concrete Rn setting, developing them gradually, and returning to them throughout the text so that when they are discussed in the abstract, students are readily able to understand. Personalize learning with MyMathLab MyMathLab is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. MyMathLab includes assignable algorithmic exercises, the complete eBook, interactive figures, tools to personalize learning, and more.

Student Study Guide for Linear Algebra and Its Applications

Author: David C. Lay,Steven R. Lay,Judi J. McDonald

Publisher: Pearson College Division

ISBN: 9780321982575

Category: Mathematics

Page: 344

View: 2223

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Line algebra is relatively easy for students during the early stages of the course, when the material is presented in a familiar, concrete setting. But when abstract concepts are introduced, students often hit a brick wall. Instructors seem to agree that certain concepts are not easily understood, and require time to assimilate.

Lay:Linear Algebra and Its Applications

International Edition/ Student Study Guide for Linear Algebra and Its Applications

Author: David C. Lay

Publisher: N.A

ISBN: 9781447911234

Category:

Page: 546

View: 4800

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This package includes Linear Algebra and Its Applications by Lay and the accompanying Student Study Guide. Linear algebra is relatively easy for students during the early stages of the course, when the material is presented in a familiar, concrete setting. But when abstract concepts are introduced, students often hit a brick wall. Instructors seem to agree that certain concepts (such as linear independence, spanning, subspace, vector space, and linear transformations), are not easily understood, and require time to assimilate. Since they are fundamental to the study of linear algebra, students' understanding of these concepts is vital to their mastery of the subject. David Lay introduces these concepts early in a familiar, concrete Rn setting, develops them gradually, and returns to them again and again throughout the text so that when discussed in the abstract, these concepts are more accessible. An integral part of this text, the Study Guide incorporates detailed solutions to every third odd-numbered exercise, as well as solutions to every odd-numbered writing exercise for which the main text only provides a hint.

Linear Algebra and Linear Models

Author: R. B. Bapat

Publisher: Springer Science & Business Media

ISBN: 0387988718

Category: Mathematics

Page: 138

View: 4511

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This book provides a rigorous introduction to the basic aspects of the theory of linear estimation and hypothesis testing, covering the necessary prerequisites in matrices, multivariate normal distribution and distributions of quadratic forms along the way. It will appeal to advanced undergraduate and first-year graduate students, research mathematicians and statisticians.

Numerical Linear Algebra and Its Applications

Author: Xiao-Qing Jin,Yi-min Wei

Publisher: Alpha Science International Limited

ISBN: 9781842657164

Category: Mathematics

Page: 186

View: 9737

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Numerical linear algebra, also called matrix computation, has been a center of scientific and engineering computing since 1946. Most of problems in science and engineering finally become problems in matrix computations. This book gives an elementary introduction to matrix comp utation and it also includes some new results obtained in recent years. This book consists of nine chapters. It includes the Gaussian elimination, classical iterative methods and Krylov subspace methods for solving linear systems; the perturbation analysis of linear systems; the rounding error analysis of elimination; the orthogonal decompositions for solving linear least squares problem; and some classical methods for eigen-problems. In the last chapter, a brief survey of the latest developments in using boundary value methods for solving initial value problems of ordinary differential equations is given. This is a textbook for the senior students majoring in scientific computing and information science. It will be also useful to all who teach or study the subject.

Handbook of Linear Algebra, Second Edition

Author: Leslie Hogben

Publisher: CRC Press

ISBN: 1498785603

Category: Mathematics

Page: 1904

View: 7786

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With a substantial amount of new material, the Handbook of Linear Algebra, Second Edition provides comprehensive coverage of linear algebra concepts, applications, and computational software packages in an easy-to-use format. It guides you from the very elementary aspects of the subject to the frontiers of current research. Along with revisions and updates throughout, the second edition of this bestseller includes 20 new chapters. New to the Second Edition Separate chapters on Schur complements, additional types of canonical forms, tensors, matrix polynomials, matrix equations, special types of matrices, generalized inverses, matrices over finite fields, invariant subspaces, representations of quivers, and spectral sets New chapters on combinatorial matrix theory topics, such as tournaments, the minimum rank problem, and spectral graph theory, as well as numerical linear algebra topics, including algorithms for structured matrix computations, stability of structured matrix computations, and nonlinear eigenvalue problems More chapters on applications of linear algebra, including epidemiology and quantum error correction New chapter on using the free and open source software system Sage for linear algebra Additional sections in the chapters on sign pattern matrices and applications to geometry Conjectures and open problems in most chapters on advanced topics Highly praised as a valuable resource for anyone who uses linear algebra, the first edition covered virtually all aspects of linear algebra and its applications. This edition continues to encompass the fundamentals of linear algebra, combinatorial and numerical linear algebra, and applications of linear algebra to various disciplines while also covering up-to-date software packages for linear algebra computations.

Numerical Linear Algebra and Applications, Second Edition

Author: Biswa Nath Datta

Publisher: SIAM

ISBN: 0898717655

Category: Algebras, Linear

Page: 530

View: 4487

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Full of features and applications, this acclaimed textbook for upper undergraduate level and graduate level students includes all the major topics of computational linear algebra, including solution of a system of linear equations, least-squares solutions of linear systems, computation of eigenvalues, eigenvectors, and singular value problems. Drawing from numerous disciplines of science and engineering, the author covers a variety of motivating applications. When a physical problem is posed, the scientific and engineering significance of the solution is clearly stated. Each chapter contains a summary of the important concepts developed in that chapter, suggestions for further reading, and numerous exercises, both theoretical and MATLAB and MATCOM based. The author also provides a list of key words for quick reference. The MATLAB toolkit available online, 'MATCOM', contains implementations of the major algorithms in the book and will enable students to study different algorithms for the same problem, comparing efficiency, stability, and accuracy.