Elements Of Linear And Multilinear Algebra

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Publisher : World Scientific
ISBN 13 : 9811222746
Total Pages : 234 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Elements Of Linear And Multilinear Algebra by : John M Erdman

Download or read book Elements Of Linear And Multilinear Algebra written by John M Erdman and published by World Scientific. This book was released on 2020-12-22 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: This set of notes is an activity-oriented introduction to linear and multilinear algebra. The great majority of the most elementary results in these subjects are straightforward and can be verified by the thoughtful student. Indeed, that is the main point of these notes — to convince the beginner that the subject is accessible. In the material that follows there are numerous indicators that suggest activity on the part of the reader: words such as 'proposition', 'example', 'theorem', 'exercise', and 'corollary', if not followed by a proof (and proofs here are very rare) or a reference to a proof, are invitations to verify the assertions made.These notes are intended to accompany an (academic) year-long course at the advanced undergraduate or beginning graduate level. (With judicious pruning most of the material can be covered in a two-term sequence.) The text is also suitable for a lecture-style class, the instructor proving some of the results while leaving others as exercises for the students.This book has tried to keep the facts about vector spaces and those about inner product spaces separate. Many beginning linear algebra texts conflate the material on these two vastly different subjects.

Elements of Linear Algebra

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Publisher :
ISBN 13 :
Total Pages : 312 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Elements of Linear Algebra by : Anthony J. Pettofrezzo

Download or read book Elements of Linear Algebra written by Anthony J. Pettofrezzo and published by . This book was released on 1970 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Introduction to Elements of Multilinear Algebra

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Publisher :
ISBN 13 :
Total Pages : 104 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis An Introduction to Elements of Multilinear Algebra by : Ali R. Amir-Moéz

Download or read book An Introduction to Elements of Multilinear Algebra written by Ali R. Amir-Moéz and published by . This book was released on 1968 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Elements of Linear Algebra

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Publisher : W.H. Freeman
ISBN 13 : 9780716704454
Total Pages : 268 pages
Book Rating : 4.7/5 (44 download)

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Book Synopsis Elements of Linear Algebra by : Daniel Talbot Finkbeiner

Download or read book Elements of Linear Algebra written by Daniel Talbot Finkbeiner and published by W.H. Freeman. This book was released on 1972-01-01 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Elements of Linear Space

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Publisher : Elsevier
ISBN 13 : 148327909X
Total Pages : 160 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Elements of Linear Space by : A. R. Amir-Moez

Download or read book Elements of Linear Space written by A. R. Amir-Moez and published by Elsevier. This book was released on 2014-07-14 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elements of Linear Space is a detailed treatment of the elements of linear spaces, including real spaces with no more than three dimensions and complex n-dimensional spaces. The geometry of conic sections and quadric surfaces is considered, along with algebraic structures, especially vector spaces and transformations. Problems drawn from various branches of geometry are given. Comprised of 12 chapters, this volume begins with an introduction to real Euclidean space, followed by a discussion on linear transformations and matrices. The addition and multiplication of transformations and matrices are given emphasis. Subsequent chapters focus on some properties of determinants and systems of linear equations; special transformations and their matrices; unitary spaces; and some algebraic structures. Quadratic forms and their applications to geometry are also examined, together with linear transformations in general vector spaces. The book concludes with an evaluation of singular values and estimates of proper values of matrices, paying particular attention to linear transformations always on a unitary space of dimension n over the complex field. This book will be of interest to both undergraduate and more advanced students of mathematics.

Elements of Linear Algebra

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Publisher : John Wiley & Sons
ISBN 13 : 9780471008200
Total Pages : 287 pages
Book Rating : 4.0/5 (82 download)

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Book Synopsis Elements of Linear Algebra by : Lowell J. Paige

Download or read book Elements of Linear Algebra written by Lowell J. Paige and published by John Wiley & Sons. This book was released on 1974-01-01 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Elements of Linear Algebra and Matrix Theory

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Publisher : New York ; Toronto : McGraw-Hill Book Company
ISBN 13 :
Total Pages : 392 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Elements of Linear Algebra and Matrix Theory by : John T. Moore

Download or read book Elements of Linear Algebra and Matrix Theory written by John T. Moore and published by New York ; Toronto : McGraw-Hill Book Company. This book was released on 1968 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Linear and Multilinear Algebra and Function Spaces

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Publisher : American Mathematical Soc.
ISBN 13 : 1470446936
Total Pages : 213 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Linear and Multilinear Algebra and Function Spaces by : A. Bourhim

Download or read book Linear and Multilinear Algebra and Function Spaces written by A. Bourhim and published by American Mathematical Soc.. This book was released on 2020-05-05 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the International Conference on Algebra and Related Topics, held from July 2–5, 2018, at Mohammed V University, Rabat, Morocco. Linear reserver problems demand the characterization of linear maps between algebras that leave invariant certain properties or certain subsets or relations. One of the most intractable unsolved problems is Kaplansky's conjecture: every surjective unital invertibility preserving linear map between two semisimple Banach algebras is a Jordan homomorphism. Recently, there has been an upsurge of interest in nonlinear preservers, where the maps studied are no longer assumed linear but instead a weak algebraic condition is somehow involved through the preserving property. This volume contains several articles on various aspects of preservers, including such topics as Jordan isomorphisms, Aluthge transform, joint numerical radius on C ∗ C∗-algebras, advertible complete algebras, and Gelfand-Mazur algebras. The volume also contains a survey on recent progress on local spectrum-preserving maps. Several articles in the volume present results about weighted spaces and algebras of holomorphic or harmonic functions, including biduality in weighted spaces of analytic functions, interpolation in the analytic Wiener algebra, and weighted composition operators on non-locally convex weighted spaces.

Linear Algebra and Geometry

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Publisher : CRC Press
ISBN 13 : 9789056990497
Total Pages : 324 pages
Book Rating : 4.9/5 (94 download)

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Book Synopsis Linear Algebra and Geometry by : P. K. Suetin

Download or read book Linear Algebra and Geometry written by P. K. Suetin and published by CRC Press. This book was released on 1997-10-01 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This advanced textbook on linear algebra and geometry covers a wide range of classical and modern topics. Differing from existing textbooks in approach, the work illustrates the many-sided applications and connections of linear algebra with functional analysis, quantum mechanics and algebraic and differential geometry. The subjects covered in some detail include normed linear spaces, functions of linear operators, the basic structures of quantum mechanics and an introduction to linear programming. Also discussed are Kahler's metic, the theory of Hilbert polynomials, and projective and affine geometries. Unusual in its extensive use of applications in physics to clarify each topic, this comprehensice volume should be of particular interest to advanced undergraduates and graduates in mathematics and physics, and to lecturers in linear and multilinear algebra, linear programming and quantum mechanics.

Elements of Linear Algebra

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Publisher :
ISBN 13 :
Total Pages : 308 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Elements of Linear Algebra by : Lowell J. Paige

Download or read book Elements of Linear Algebra written by Lowell J. Paige and published by . This book was released on 1983 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Matrix Calculus, Kronecker Product And Tensor Product: A Practical Approach To Linear Algebra, Multilinear Algebra And Tensor Calculus With Software Implementations (Third Edition)

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Publisher : World Scientific
ISBN 13 : 9811202532
Total Pages : 388 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Matrix Calculus, Kronecker Product And Tensor Product: A Practical Approach To Linear Algebra, Multilinear Algebra And Tensor Calculus With Software Implementations (Third Edition) by : Hardy Yorick

Download or read book Matrix Calculus, Kronecker Product And Tensor Product: A Practical Approach To Linear Algebra, Multilinear Algebra And Tensor Calculus With Software Implementations (Third Edition) written by Hardy Yorick and published by World Scientific. This book was released on 2019-04-08 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our self-contained volume provides an accessible introduction to linear and multilinear algebra as well as tensor calculus. Besides the standard techniques for linear algebra, multilinear algebra and tensor calculus, many advanced topics are included where emphasis is placed on the Kronecker product and tensor product. The Kronecker product has widespread applications in signal processing, discrete wavelets, statistical physics, Hopf algebra, Yang-Baxter relations, computer graphics, fractals, quantum mechanics, quantum computing, entanglement, teleportation and partial trace. All these fields are covered comprehensively.The volume contains many detailed worked-out examples. Each chapter includes useful exercises and supplementary problems. In the last chapter, software implementations are provided for different concepts. The volume is well suited for pure and applied mathematicians as well as theoretical physicists and engineers.New topics added to the third edition are: mutually unbiased bases, Cayley transform, spectral theorem, nonnormal matrices, Gâteaux derivatives and matrices, trace and partial trace, spin coherent states, Clebsch-Gordan series, entanglement, hyperdeterminant, tensor eigenvalue problem, Carleman matrix and Bell matrix, tensor fields and Ricci tensors, and software implementations.

Advanced Linear Algebra

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Publisher : CRC Press
ISBN 13 : 1466559012
Total Pages : 634 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Advanced Linear Algebra by : Nicholas Loehr

Download or read book Advanced Linear Algebra written by Nicholas Loehr and published by CRC Press. This book was released on 2014-04-10 with total page 634 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed for advanced undergraduate and beginning graduate students in linear or abstract algebra, Advanced Linear Algebra covers theoretical aspects of the subject, along with examples, computations, and proofs. It explores a variety of advanced topics in linear algebra that highlight the rich interconnections of the subject to geometry, algebra, analysis, combinatorics, numerical computation, and many other areas of mathematics. The book’s 20 chapters are grouped into six main areas: algebraic structures, matrices, structured matrices, geometric aspects of linear algebra, modules, and multilinear algebra. The level of abstraction gradually increases as students proceed through the text, moving from matrices to vector spaces to modules. Each chapter consists of a mathematical vignette devoted to the development of one specific topic. Some chapters look at introductory material from a sophisticated or abstract viewpoint while others provide elementary expositions of more theoretical concepts. Several chapters offer unusual perspectives or novel treatments of standard results. Unlike similar advanced mathematical texts, this one minimizes the dependence of each chapter on material found in previous chapters so that students may immediately turn to the relevant chapter without first wading through pages of earlier material to access the necessary algebraic background and theorems. Chapter summaries contain a structured list of the principal definitions and results. End-of-chapter exercises aid students in digesting the material. Students are encouraged to use a computer algebra system to help solve computationally intensive exercises.

Linear Algebra and Geometry

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Publisher : Springer Science & Business Media
ISBN 13 : 3642309941
Total Pages : 536 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Linear Algebra and Geometry by : Igor R. Shafarevich

Download or read book Linear Algebra and Geometry written by Igor R. Shafarevich and published by Springer Science & Business Media. This book was released on 2012-08-23 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book on linear algebra and geometry is based on a course given by renowned academician I.R. Shafarevich at Moscow State University. The book begins with the theory of linear algebraic equations and the basic elements of matrix theory and continues with vector spaces, linear transformations, inner product spaces, and the theory of affine and projective spaces. The book also includes some subjects that are naturally related to linear algebra but are usually not covered in such courses: exterior algebras, non-Euclidean geometry, topological properties of projective spaces, theory of quadrics (in affine and projective spaces), decomposition of finite abelian groups, and finitely generated periodic modules (similar to Jordan normal forms of linear operators). Mathematical reasoning, theorems, and concepts are illustrated with numerous examples from various fields of mathematics, including differential equations and differential geometry, as well as from mechanics and physics.

Tensors: Geometry and Applications

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Publisher : American Mathematical Soc.
ISBN 13 : 0821869078
Total Pages : 464 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Tensors: Geometry and Applications by : J. M. Landsberg

Download or read book Tensors: Geometry and Applications written by J. M. Landsberg and published by American Mathematical Soc.. This book was released on 2011-12-14 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tensors are ubiquitous in the sciences. The geometry of tensors is both a powerful tool for extracting information from data sets, and a beautiful subject in its own right. This book has three intended uses: a classroom textbook, a reference work for researchers in the sciences, and an account of classical and modern results in (aspects of) the theory that will be of interest to researchers in geometry. For classroom use, there is a modern introduction to multilinear algebra and to the geometry and representation theory needed to study tensors, including a large number of exercises. For researchers in the sciences, there is information on tensors in table format for easy reference and a summary of the state of the art in elementary language. This is the first book containing many classical results regarding tensors. Particular applications treated in the book include the complexity of matrix multiplication, P versus NP, signal processing, phylogenetics, and algebraic statistics. For geometers, there is material on secant varieties, G-varieties, spaces with finitely many orbits and how these objects arise in applications, discussions of numerous open questions in geometry arising in applications, and expositions of advanced topics such as the proof of the Alexander-Hirschowitz theorem and of the Weyman-Kempf method for computing syzygies.

Linear Algebra for Economists

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Publisher : Springer Science & Business Media
ISBN 13 : 3642205704
Total Pages : 283 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Linear Algebra for Economists by : Fuad Aleskerov

Download or read book Linear Algebra for Economists written by Fuad Aleskerov and published by Springer Science & Business Media. This book was released on 2011-08-18 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook introduces students of economics to the fundamental notions and instruments in linear algebra. Linearity is used as a first approximation to many problems that are studied in different branches of science, including economics and other social sciences. Linear algebra is also the most suitable to teach students what proofs are and how to prove a statement. The proofs that are given in the text are relatively easy to understand and also endow the student with different ways of thinking in making proofs. Theorems for which no proofs are given in the book are illustrated via figures and examples. All notions are illustrated appealing to geometric intuition. The book provides a variety of economic examples using linear algebraic tools. It mainly addresses students in economics who need to build up skills in understanding mathematical reasoning. Students in mathematics and informatics may also be interested in learning about the use of mathematics in economics.

Introduction to Linear Algebra

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Publisher : Courier Dover Publications
ISBN 13 : 0486834123
Total Pages : 307 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis Introduction to Linear Algebra by : Frank M. Stewart

Download or read book Introduction to Linear Algebra written by Frank M. Stewart and published by Courier Dover Publications. This book was released on 2019-07-17 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Linear Algebra stresses finite dimensional vector spaces and linear transformations. Intended for undergraduate majors in mathematics, applied mathematics, chemistry, and physics, the treatment's only prerequisite is a first course in calculus. Proofs are given in detail, and carefully chosen problems demonstrate the variety of situations in which these concepts arise. After a brief Introduction, the text advances to chapters on the plane, linear dependence, span, dimension, bases, and subspaces. Subsequent chapters explore linear transformations, the dual space in terms of multilinear forms and determinants, a traditional treatment of determinants, and inner product spaces. Extensive Appendixes cover equations and identities; variables, quantifiers, and unknowns; sets; proofs; indices and summations; and functions.

Linear Algebra and Group Representations: Multilinear algebra and group representations

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Publisher :
ISBN 13 :
Total Pages : 328 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Linear Algebra and Group Representations: Multilinear algebra and group representations by : Ronald Shaw

Download or read book Linear Algebra and Group Representations: Multilinear algebra and group representations written by Ronald Shaw and published by . This book was released on 1982 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: