Linear Algebra And Smarandache Linear Algebra

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Linear Algebra and Smarandache Linear Algebra

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Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
ISBN 13 : 1931233756
Total Pages : 175 pages
Book Rating : 4.9/5 (312 download)

Book Synopsis Linear Algebra and Smarandache Linear Algebra by : W. B. Vasantha Kandasamy

Download or read book Linear Algebra and Smarandache Linear Algebra written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2003 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book the author analyzes the Smarandache linear algebra, and introduces several other concepts like the Smarandache semilinear algebra, Smarandache bilinear algebra and Smarandache anti-linear algebra. We indicate that Smarandache vector spaces of type II will be used in the study of neutrosophic logic and its applications to Markov chains and Leontief Economic models ? both of these research topics have intense industrial applications. The Smarandache linear algebra, is defined to be a Smarandache vector space of type II, on which there is an additional operation called product, such that for all a, b in V, ab is in V.The Smarandache vector space of type II is defined to be a module V defined over a Smarandache ring R such that V is a vector space over a proper subset k of R, where k is a field.

n-Linear Algebra of Type 1 and Its Applications

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Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
ISBN 13 : 159973074X
Total Pages : 122 pages
Book Rating : 4.5/5 (997 download)

Book Synopsis n-Linear Algebra of Type 1 and Its Applications by : W. B. Vasantha Kandasamy

Download or read book n-Linear Algebra of Type 1 and Its Applications written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2008 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: n-Linear Algebra of type I introduced in this book find applications in Markov chains and Leontief economic models.Innovative scientists and engineers can adopt this concept in Fuzzy Finite Element analysis of mechanical structures with uncertain parameters.

Super Linear Algebra

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Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
ISBN 13 : 1599730650
Total Pages : 295 pages
Book Rating : 4.5/5 (997 download)

Book Synopsis Super Linear Algebra by : W. B. Vasantha Kandasamy

Download or read book Super Linear Algebra written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2008 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: Super Linear Algebras are built using super matrices. These new structures can be applied to all fields in which linear algebras are used. Super characteristic values exist only when the related super matrices are super square diagonal super matrices.Super diagonalization, analogous to diagonalization is obtained. These newly introduced structures can be applied to Computer Sciences, Markov Chains, and Fuzzy Models.

Special Set Linear Algebra and Special Set Fuzzy Linear Algebra

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Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
ISBN 13 : 1599731061
Total Pages : 469 pages
Book Rating : 4.5/5 (997 download)

Book Synopsis Special Set Linear Algebra and Special Set Fuzzy Linear Algebra by : W. B. Vasantha Kandasamy

Download or read book Special Set Linear Algebra and Special Set Fuzzy Linear Algebra written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2009-01-01 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: Special Set Linear Algebras introduced by the authors in this book is an extension of Set Linear Algebras, which are the most generalized form of linear algebras. These structures can be applied to multi-expert models. The dominance of computers in everyday life calls for a paradigm shift in the concepts of linear algebras. The authors belief that special set linear algebra will cater to that need.

n-Linear Algebra of Type II

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Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
ISBN 13 : 1599730316
Total Pages : 231 pages
Book Rating : 4.5/5 (997 download)

Book Synopsis n-Linear Algebra of Type II by : W. B. Vasantha Kandasamy

Download or read book n-Linear Algebra of Type II written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2008 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: n-Linear Algebra of type II is constructed over n-fields, n-eigen values and n-eigen vectors and it will find applications in finite element analysis of civil and mechanical structures with uncertain parameters

Non Associative Linear Algebras

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Author : W. B. Vasantha Kandasamy, Florentin Smarandache
Publisher : Infinite Study
ISBN 13 : 1599731762
Total Pages : 233 pages
Book Rating : 4.5/5 (997 download)

Book Synopsis Non Associative Linear Algebras by : W. B. Vasantha Kandasamy, Florentin Smarandache

Download or read book Non Associative Linear Algebras written by W. B. Vasantha Kandasamy, Florentin Smarandache and published by Infinite Study. This book was released on 2012 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Set Linear Algebra and Set Fuzzy Linear Algebra

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Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
ISBN 13 : 1599730294
Total Pages : 346 pages
Book Rating : 4.5/5 (997 download)

Book Synopsis Set Linear Algebra and Set Fuzzy Linear Algebra by : W. B. Vasantha Kandasamy

Download or read book Set Linear Algebra and Set Fuzzy Linear Algebra written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2008 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Set linear algebras, introduced by the authors in this book, are the most generalized form of linear algebras.These structures make use of very few algebraic operations and are easily accessible to non-mathematicians as well.The dominance of computers in everyday life calls for a paradigm shift in the concepts of linear algebra. The authors believe that set linear algebra will cater to that need.

Smarandache Special Definite Algebraic Structures

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Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
ISBN 13 : 1599730855
Total Pages : 141 pages
Book Rating : 4.5/5 (997 download)

Book Synopsis Smarandache Special Definite Algebraic Structures by : W. B. Vasantha Kandasamy

Download or read book Smarandache Special Definite Algebraic Structures written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2009-01-01 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: We study these new Smarandache algebraic structures, which are defined as structures which have a proper subset which has a weak structure.A Smarandache Weak Structure on a set S means a structure on S that has a proper subset P with a weaker structure.By proper subset of a set S, we mean a subset P of S, different from the empty set, from the original set S, and from the idempotent elements if any.A Smarandache Strong Structure on a set S means a structure on S that has a proper subset P with a stronger structure.A Smarandache Strong-Weak Structure on a set S means a structure on S that has two proper subsets: P with a stronger structure, and Q with a weaker structure.

Interval Linear Algebra

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Author : W. B. Vasantha Kandasamy, Florentin Smarandache
Publisher : Infinite Study
ISBN 13 : 1599731266
Total Pages : 249 pages
Book Rating : 4.5/5 (997 download)

Book Synopsis Interval Linear Algebra by : W. B. Vasantha Kandasamy, Florentin Smarandache

Download or read book Interval Linear Algebra written by W. B. Vasantha Kandasamy, Florentin Smarandache and published by Infinite Study. This book was released on 2010 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interval Arithmetic, or Interval Mathematics, was developed in the 1950s and 1960s as an approach to rounding errors in mathematical computations. However, there was no methodical development of interval algebraic structures to this date.This book provides a systematic analysis of interval algebraic structures, viz. interval linear algebra, using intervals of the form [0, a].

Linear Algebra in Action

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Author : Harry Dym
Publisher : American Mathematical Soc.
ISBN 13 : 9780821838136
Total Pages : 568 pages
Book Rating : 4.8/5 (381 download)

Book Synopsis Linear Algebra in Action by : Harry Dym

Download or read book Linear Algebra in Action written by Harry Dym and published by American Mathematical Soc.. This book was released on 2007 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear algebra permeates mathematics, perhaps more so than any other single subject. It plays an essential role in pure and applied mathematics, statistics, computer science, and many aspects of physics and engineering. This book conveys in a user-friendly way the basic and advanced techniques of linear algebra from the point of view of a working analyst. The techniques are illustrated by a wide sample of applications and examples that are chosen to highlight the tools of the trade. In short, this is material that the author wishes he had been taught as a graduate student. Roughly the first third of the book covers the basic material of a first course in linear algebra. The remaining chapters are devoted to applications drawn from vector calculus, numerical analysis, control theory, complex analysis, convexity and functional analysis. In particular, fixed point theorems, extremal problems, matrix equations, zero location and eigenvalue location problems, and matrices with nonnegative entries are discussed. Appendices on useful facts from analysis and supplementary information from complex function theory are also provided for the convenience of the reader. The book is suitable as a text or supplementary reference for a variety of courses on linear algebra and its applications, as well as for self-study.

Super Linear Algebra

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Author : Vasantha Kandasamy W B Smarandache Florentin
Publisher :
ISBN 13 : 9781461913290
Total Pages : 295 pages
Book Rating : 4.9/5 (132 download)

Book Synopsis Super Linear Algebra by : Vasantha Kandasamy W B Smarandache Florentin

Download or read book Super Linear Algebra written by Vasantha Kandasamy W B Smarandache Florentin and published by . This book was released on 2014-05-14 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Applied Linear Algebra

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Author : Peter J. Olver
Publisher : Springer
ISBN 13 : 3319910418
Total Pages : 679 pages
Book Rating : 4.3/5 (199 download)

Book Synopsis Applied Linear Algebra by : Peter J. Olver

Download or read book Applied Linear Algebra written by Peter J. Olver and published by Springer. This book was released on 2018-05-30 with total page 679 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook develops the essential tools of linear algebra, with the goal of imparting technique alongside contextual understanding. Applications go hand-in-hand with theory, each reinforcing and explaining the other. This approach encourages students to develop not only the technical proficiency needed to go on to further study, but an appreciation for when, why, and how the tools of linear algebra can be used across modern applied mathematics. Providing an extensive treatment of essential topics such as Gaussian elimination, inner products and norms, and eigenvalues and singular values, this text can be used for an in-depth first course, or an application-driven second course in linear algebra. In this second edition, applications have been updated and expanded to include numerical methods, dynamical systems, data analysis, and signal processing, while the pedagogical flow of the core material has been improved. Throughout, the text emphasizes the conceptual connections between each application and the underlying linear algebraic techniques, thereby enabling students not only to learn how to apply the mathematical tools in routine contexts, but also to understand what is required to adapt to unusual or emerging problems. No previous knowledge of linear algebra is needed to approach this text, with single-variable calculus as the only formal prerequisite. However, the reader will need to draw upon some mathematical maturity to engage in the increasing abstraction inherent to the subject. Once equipped with the main tools and concepts from this book, students will be prepared for further study in differential equations, numerical analysis, data science and statistics, and a broad range of applications. The first author’s text, Introduction to Partial Differential Equations, is an ideal companion volume, forming a natural extension of the linear mathematical methods developed here.

Natural Product Xn on Matrices

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Author : W.B. Vasantha Kandasamy, Florentin Smarandache
Publisher : Infinite Study
ISBN 13 : 1599731746
Total Pages : 344 pages
Book Rating : 4.5/5 (997 download)

Book Synopsis Natural Product Xn on Matrices by : W.B. Vasantha Kandasamy, Florentin Smarandache

Download or read book Natural Product Xn on Matrices written by W.B. Vasantha Kandasamy, Florentin Smarandache and published by Infinite Study. This book was released on 2012 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Linear Algebra: Volume 2

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Author : A. G. Hamilton
Publisher : Cambridge University Press
ISBN 13 : 9780521310420
Total Pages : 344 pages
Book Rating : 4.3/5 (14 download)

Book Synopsis Linear Algebra: Volume 2 by : A. G. Hamilton

Download or read book Linear Algebra: Volume 2 written by A. G. Hamilton and published by Cambridge University Press. This book was released on 1989 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Emphasis is placed on applications in preference to more theoretical aspects throughout this readable introduction to linear algebra for specialists as well as non-specialists. An expanded version of A First Course in Linear Algebra.

Exploring the Extension of Natural Operations on Intervals, Matrices and Complex Numbers

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Author : W. B. Vasantha Kandasamy, Florentin Smarandache
Publisher : Infinite Study
ISBN 13 : 1599731797
Total Pages : 152 pages
Book Rating : 4.5/5 (997 download)

Book Synopsis Exploring the Extension of Natural Operations on Intervals, Matrices and Complex Numbers by : W. B. Vasantha Kandasamy, Florentin Smarandache

Download or read book Exploring the Extension of Natural Operations on Intervals, Matrices and Complex Numbers written by W. B. Vasantha Kandasamy, Florentin Smarandache and published by Infinite Study. This book was released on 2012 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book we explore the possibility of extending the natural operations on reals to intervals and matrices. The extension to intervals makes us define a natural class of intervals in which we accept [a, b], a greater than b. Further, we introduce a complex modulo integer in Z_n (n, a positive integer) and denote it by iF with iF^2 = n-1.

Linear Algebra

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Author : Michael L. O'Leary
Publisher : John Wiley & Sons
ISBN 13 : 1119437601
Total Pages : 464 pages
Book Rating : 4.1/5 (194 download)

Book Synopsis Linear Algebra by : Michael L. O'Leary

Download or read book Linear Algebra written by Michael L. O'Leary and published by John Wiley & Sons. This book was released on 2021-05-04 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: LINEAR ALGEBRA EXPLORE A COMPREHENSIVE INTRODUCTORY TEXT IN LINEAR ALGEBRA WITH COMPELLING SUPPLEMENTARY MATERIALS, INCLUDING A COMPANION WEBSITE AND SOLUTIONS MANUALS Linear Algebra delivers a fulsome exploration of the central concepts in linear algebra, including multidimensional spaces, linear transformations, matrices, matrix algebra, determinants, vector spaces, subspaces, linear independence, basis, inner products, and eigenvectors. While the text provides challenging problems that engage readers in the mathematical theory of linear algebra, it is written in an accessible and simple-to-grasp fashion appropriate for junior undergraduate students. An emphasis on logic, set theory, and functions exists throughout the book, and these topics are introduced early to provide students with a foundation from which to attack the rest of the material in the text. Linear Algebra includes accompanying material in the form of a companion website that features solutions manuals for students and instructors. Finally, the concluding chapter in the book includes discussions of advanced topics like generalized eigenvectors, Schur’s Lemma, Jordan canonical form, and quadratic forms. Readers will also benefit from the inclusion of: A thorough introduction to logic and set theory, as well as descriptions of functions and linear transformations An exploration of Euclidean spaces and linear transformations between Euclidean spaces, including vectors, vector algebra, orthogonality, the standard matrix, Gauss-Jordan elimination, inverses, and determinants Discussions of abstract vector spaces, including subspaces, linear independence, dimension, and change of basis A treatment on defining geometries on vector spaces, including the Gram-Schmidt process Perfect for undergraduate students taking their first course in the subject matter, Linear Algebra will also earn a place in the libraries of researchers in computer science or statistics seeking an accessible and practical foundation in linear algebra.

An Introduction to Linear Algebra

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Author : L. Mirsky
Publisher : Courier Corporation
ISBN 13 : 0486166449
Total Pages : 466 pages
Book Rating : 4.4/5 (861 download)

Book Synopsis An Introduction to Linear Algebra by : L. Mirsky

Download or read book An Introduction to Linear Algebra written by L. Mirsky and published by Courier Corporation. This book was released on 2012-12-03 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rigorous, self-contained coverage of determinants, vectors, matrices and linear equations, quadratic forms, more. Elementary, easily readable account with numerous examples and problems at the end of each chapter.