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Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 1599730650
Category : Mathematics
Languages : en
Pages : 295
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Book Description
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.
Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 1599730650
Category : Mathematics
Languages : en
Pages : 295
Get Book
Book Description
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.
Author: Vasantha Kandasamy W B Smarandache Florentin
Publisher:
ISBN: 9781461913290
Category : MATHEMATICS
Languages : en
Pages : 295
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Book Description
Author: V. S. Varadarajan
Publisher: American Mathematical Soc.
ISBN: 9780821883518
Category : Supersymmetry
Languages : en
Pages : 318
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Book Description
An special feature of the book is the treatment in depth of the theory of spinors in all dimensions and signatures, which is the basis of all developments of supergeometry both in physics and mathematics, especially in quantum field theory and supergravity."--Jacket.
Author: Florentin Smarandache
Publisher: Infinite Study
ISBN: 1599731673
Category : Mathematics
Languages : en
Pages : 299
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Book Description
The authors in this book introduce the notion of DSm Super Vector Space of Refined Labels. The notion of DSm semi super vector space is also introduced. Several interesting properties are derived. We have suggested over 100 problems, some of which are research problems.
Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 1931233756
Category : Mathematics
Languages : en
Pages : 175
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Book Description
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.
Author: W. B. Vasantha Kandasamy, Florentin Smarandache
Publisher: Infinite Study
ISBN: 1599731533
Category : Mathematics
Languages : en
Pages : 289
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Book Description
Author: Morton L. Curtis
Publisher: Springer Science & Business Media
ISBN: 9780387972633
Category : Mathematics
Languages : en
Pages : 188
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Book Description
Intended for a first course on the subject, this text begins from scratch and develops the standard topics of Linear Algebra. Its progresses simply towards its ultimate goal, the Theorem of Hurwitz, which argues that the only normed algebras over the real numbers are the real numbers, the complex numbers, the quaternions, and the octonions. The book stresses the complete logical development of the subject.
Author: Neelacanta Sthanumoorthy
Publisher: Academic Press
ISBN: 012804683X
Category : Mathematics
Languages : en
Pages : 512
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Book Description
Lie superalgebras are a natural generalization of Lie algebras, having applications in geometry, number theory, gauge field theory, and string theory. Introduction to Finite and Infinite Dimensional Lie Algebras and Superalgebras introduces the theory of Lie superalgebras, their algebras, and their representations. The material covered ranges from basic definitions of Lie groups to the classification of finite-dimensional representations of semi-simple Lie algebras. While discussing all classes of finite and infinite dimensional Lie algebras and Lie superalgebras in terms of their different classes of root systems, the book focuses on Kac-Moody algebras. With numerous exercises and worked examples, it is ideal for graduate courses on Lie groups and Lie algebras. Discusses the fundamental structure and all root relationships of Lie algebras and Lie superalgebras and their finite and infinite dimensional representation theory Closely describes BKM Lie superalgebras, their different classes of imaginary root systems, their complete classifications, root-supermultiplicities, and related combinatorial identities Includes numerous tables of the properties of individual Lie algebras and Lie superalgebras Focuses on Kac-Moody algebras
Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 1599731061
Category : Mathematics
Languages : en
Pages : 469
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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.
Author: Max Fogiel
Publisher: Research & Education Assn
ISBN: 9780878910854
Category : Business & Economics
Languages : en
Pages : 214
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Book Description
Get all you need to know with Super Reviews! Each Super Review is packed with in-depth, student-friendly topic reviews that fully explain everything about the subject. The Linear Algebra Super Review includes linear matrices, determinants, vector spaces, linear transformations, and eigenvectors. Take the Super Review quizzes to see how much you’ve learned - and where you need more study. Makes an excellent study aid and textbook companion. Great for self-study! DETAILS - From cover to cover, each in-depth topic review is easy-to-follow and easy-to-grasp - Perfect when preparing for homework, quizzes, and exams! - Review questions after each topic that highlight and reinforce key areas and concepts - Student-friendly language for easy reading and comprehension - Includes quizzes that test your understanding of the subject
