Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 1599730294
Category : Mathematics
Languages : en
Pages : 346
Book Description
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.
Set Linear Algebra and Set Fuzzy Linear Algebra
Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 1599730294
Category : Mathematics
Languages : en
Pages : 346
Book Description
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.
Publisher: Infinite Study
ISBN: 1599730294
Category : Mathematics
Languages : en
Pages : 346
Book Description
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.
Special Set Linear Algebra and Special Set Fuzzy Linear Algebra
Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 1599731061
Category : Mathematics
Languages : en
Pages : 469
Book Description
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.
Publisher: Infinite Study
ISBN: 1599731061
Category : Mathematics
Languages : en
Pages : 469
Book Description
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.
Interval Linear Algebra
Author: W. B. Vasantha Kandasamy, Florentin Smarandache
Publisher: Infinite Study
ISBN: 1599731266
Category : Mathematics
Languages : en
Pages : 249
Book Description
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].
Publisher: Infinite Study
ISBN: 1599731266
Category : Mathematics
Languages : en
Pages : 249
Book Description
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].
New Classes of Neutrosophic Linear Algebras
Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 1599731169
Category : Mathematics
Languages : en
Pages : 288
Book Description
In this book we introduce three types of neutrosophic linear algebras: neutrosophic set lineat algebra, neutrosophic semigroup linear algebra, and neutrosophic group linear algebra. These are generalizations of neutrosophic linear algebra. These new algebraic structures pave the way for applications in several fields like mathematical modeling.
Publisher: Infinite Study
ISBN: 1599731169
Category : Mathematics
Languages : en
Pages : 288
Book Description
In this book we introduce three types of neutrosophic linear algebras: neutrosophic set lineat algebra, neutrosophic semigroup linear algebra, and neutrosophic group linear algebra. These are generalizations of neutrosophic linear algebra. These new algebraic structures pave the way for applications in several fields like mathematical modeling.
New Soft Set Based Class of Linear Algebraic Codes
Author: Mumtaz Ali
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 10
Book Description
In this paper, we design and develop a new class of linear algebraic codes defined as soft linear algebraic codes using soft sets. The advantage of using these codes is that they have the ability to transmit m-distinct messages to m-set of receivers simultaneously.
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 10
Book Description
In this paper, we design and develop a new class of linear algebraic codes defined as soft linear algebraic codes using soft sets. The advantage of using these codes is that they have the ability to transmit m-distinct messages to m-set of receivers simultaneously.
Linear Algebra and Matrix Theory
Author: Robert R. Stoll
Publisher: Courier Corporation
ISBN: 0486623181
Category : Mathematics
Languages : en
Pages : 290
Book Description
Advanced undergraduate and first-year graduate students have long regarded this text as one of the best available works on matrix theory in the context of modern algebra. Teachers and students will find it particularly suited to bridging the gap between ordinary undergraduate mathematics and completely abstract mathematics. The first five chapters treat topics important to economics, psychology, statistics, physics, and mathematics. Subjects include equivalence relations for matrixes, postulational approaches to determinants, and bilinear, quadratic, and Hermitian forms in their natural settings. The final chapters apply chiefly to students of engineering, physics, and advanced mathematics. They explore groups and rings, canonical forms for matrixes with respect to similarity via representations of linear transformations, and unitary and Euclidean vector spaces. Numerous examples appear throughout the text.
Publisher: Courier Corporation
ISBN: 0486623181
Category : Mathematics
Languages : en
Pages : 290
Book Description
Advanced undergraduate and first-year graduate students have long regarded this text as one of the best available works on matrix theory in the context of modern algebra. Teachers and students will find it particularly suited to bridging the gap between ordinary undergraduate mathematics and completely abstract mathematics. The first five chapters treat topics important to economics, psychology, statistics, physics, and mathematics. Subjects include equivalence relations for matrixes, postulational approaches to determinants, and bilinear, quadratic, and Hermitian forms in their natural settings. The final chapters apply chiefly to students of engineering, physics, and advanced mathematics. They explore groups and rings, canonical forms for matrixes with respect to similarity via representations of linear transformations, and unitary and Euclidean vector spaces. Numerous examples appear throughout the text.
Set Theoretic Approach to Algebraic Structures in Mathematics - A Revelation
Author: W. B. Vasantha Kandasamy, Florentin Smarandache
Publisher: Infinite Study
ISBN: 1599732122
Category : Mathematics
Languages : en
Pages : 168
Book Description
Publisher: Infinite Study
ISBN: 1599732122
Category : Mathematics
Languages : en
Pages : 168
Book Description
n-Linear Algebra of Type II
Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 1599730316
Category : Mathematics
Languages : en
Pages : 231
Book Description
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
Publisher: Infinite Study
ISBN: 1599730316
Category : Mathematics
Languages : en
Pages : 231
Book Description
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
Linear Algebra Via Exterior Products
Author: Sergei Winitzki
Publisher: Sergei Winitzki
ISBN: 140929496X
Category : Science
Languages : en
Pages : 286
Book Description
This is a pedagogical introduction to the coordinate-free approach in basic finite-dimensional linear algebra. The reader should be already exposed to the array-based formalism of vector and matrix calculations. This book makes extensive use of the exterior (anti-commutative, "wedge") product of vectors. The coordinate-free formalism and the exterior product, while somewhat more abstract, provide a deeper understanding of the classical results in linear algebra. Without cumbersome matrix calculations, this text derives the standard properties of determinants, the Pythagorean formula for multidimensional volumes, the formulas of Jacobi and Liouville, the Cayley-Hamilton theorem, the Jordan canonical form, the properties of Pfaffians, as well as some generalizations of these results.
Publisher: Sergei Winitzki
ISBN: 140929496X
Category : Science
Languages : en
Pages : 286
Book Description
This is a pedagogical introduction to the coordinate-free approach in basic finite-dimensional linear algebra. The reader should be already exposed to the array-based formalism of vector and matrix calculations. This book makes extensive use of the exterior (anti-commutative, "wedge") product of vectors. The coordinate-free formalism and the exterior product, while somewhat more abstract, provide a deeper understanding of the classical results in linear algebra. Without cumbersome matrix calculations, this text derives the standard properties of determinants, the Pythagorean formula for multidimensional volumes, the formulas of Jacobi and Liouville, the Cayley-Hamilton theorem, the Jordan canonical form, the properties of Pfaffians, as well as some generalizations of these results.
Special Classes of Set Codes and Their Applications
Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 1599730790
Category : Computers
Languages : en
Pages : 169
Book Description
This book provides, for the first time, a few classes of Set Codes, the most generalized class of algebraic codes.These codes are best-suited for their applications in cryptography, coding block truncation, image compression, computer networking and data storage.
Publisher: Infinite Study
ISBN: 1599730790
Category : Computers
Languages : en
Pages : 169
Book Description
This book provides, for the first time, a few classes of Set Codes, the most generalized class of algebraic codes.These codes are best-suited for their applications in cryptography, coding block truncation, image compression, computer networking and data storage.