Super Linear Algebra by Kandasamy & Smarandache
Super Linear Algebra - Table of Contents
- 1. Super Vector Spaces & Algebraic Properties
- 2. Two Super Inner Product Superspaces
- 3. Suggested Problems and Open Research Questions
What You Will Learn in Super Linear Algebra
Super Linear Algebra by W. B. Vasantha Kandasamy and Florentin Smarandache is an authoritative, open-access mathematical monograph published by InfoLearnQuest that explores novel set-theoretic generalizations of vector space theory. This pioneering volume guides readers through super vector spaces, super sub-vector spaces, super linear transformations, super inner product superspaces, super norms, super orthogonal representations, and open research problems with exceptional structural creativity and mathematical precision.
Designed for research algebraists, pure mathematicians, theoretical physicists, and graduate students, this foundational text bridges classical vector space theory with multi-set algebraic superstructures. Kandasamy and Smarandache detail step-by-step constructions of super linear operators, super matrix representations, and dual super vector spaces built over multiple underlying field structures. Whether you are investigating non-classical algebraic systems, researching mathematical physics models, or generalizing inner product norms, this book offers an indispensable roadmap.
Recognized globally for introducing innovative super algebraic concepts, it stands as one of the best reference handbooks on super vector spaces and generalized inner product superspaces. By connecting abstract multi-set vector definitions directly to explicit super inner products and curated problem sets, it serves as an essential tool for mastering super linear algebra with confidence.
Book Details & Specifications
Title:
Super Linear Algebra by Kandasamy & Smarandache
Publisher:
InfoQuest
Year:
2008
Pages:
293
Type:
PDF
Language:
English
ISBN-10 #:
1599730650
ISBN-13 #:
978-1599730653
License:
External Educational Resource
Amazon:
Amazon
About the Author: W. B. Vasantha Kandasamy
The author W. B. Vasantha Kandasamy
is a leading Indian mathematician and former professor at IIT Madras, internationally celebrated for her extensive research in abstract algebra, neutrosophic systems, 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 Super Linear Algebra, Kandasamy and Smarandache deliver a visionary, systematically developed extension of linear algebraic paradigms. Their rigorous definitions, structural proof frameworks, and rich collection of suggested research problems make this text a classic reference for super linear structures and multi-set vector spaces valued by researchers worldwide.
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