n-Linear Algebra of Type II by V. Kandasamy, F. Smarandache
n-Linear Algebra of Type II - Table of Contents
- 1. n-Vector Spaces of Type II and their Properties
- 2. n-Inner Product Spaces of Type II
- 3. Suggested Problems and Open Questions
What You Will Learn in n-Linear Algebra of Type II
n-Linear Algebra of Type II by W. B. Vasantha Kandasamy and Florentin Smarandache is an authoritative, open-access mathematical monograph published by InfoLearnQuest that explores novel generalization frameworks in modern abstract linear algebra. This pioneering volume guides readers through n-vector spaces of Type II, n-inner product spaces of Type II, n-linear transformation operators, n-eigenspaces, structural orthogonality, and open research problems with exceptional algebraic creativity and structural rigor.
Designed for research algebraists, pure mathematicians, graduate students, and theoretical physicists, this foundational text bridges classical vector space theory with multi-field structural extensions. Kandasamy and Smarandache detail step-by-step formulations of Type II n-vector space constructions over $n$ distinct field structures, analyzing how linear independence, bases, norms, and linear operators generalize across multi-set systems. Whether you are investigating non-classical algebraic models, researching neutrosophic structures, or extending operator theory to multi-field environments, this book offers an indispensable roadmap.
Recognized globally for introducing innovative n-algebraic structures, it stands as one of the best reference texts on generalized n-linear algebra and multi-field vector spaces. By unifying structural set expansions with explicit inner product properties and suggested research problems, it serves as an essential tool for mastering advanced n-linear algebra of Type II with confidence.
Book Details & Specifications
Title:
n-Linear Algebra of Type II by V. Kandasamy, F. Smarandache
Publisher:
InfoLearnQuest
Year:
2008
Pages:
231
Type:
PDF
Language:
English
ISBN-10 #:
1599730316
ISBN-13 #:
9781599730318
License:
CC BY 4.0
Amazon:
Amazon
About the Author: Dr W.B.Vasantha Kandasamyy
The author Dr W.B.Vasantha Kandasamyy
is a leading Indian mathematician and former professor at IIT Madras, renowned for her extensive research in abstract algebra, neutrosophic logic, coding theory, and non-classical linear structures. Florentin Smarandache is Professor Emeritus of Mathematics at the University of New Mexico, world-famous for introducing neutrosophic logic, Smarandache notions, and multi-disciplinary algebraic frameworks.
Through n-Linear Algebra of Type II, Kandasamy and Smarandache deliver a visionary, systematically developed extension of classical vector spaces. Their novel structural definitions, detailed proof frameworks, and curated research problem sets make this text a classic reference for generalized linear algebra and multi-field mathematics valued by researchers worldwide.
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