Super Linear Algebra by W. B. Vasantha Kandasamy, F. Smarandache
Book Contents :-
1. Super Vector Spaces
2. Two Super Inner Product Superspaces
3. Suggested Problems
About this book :-
"Super Linear Algebra" by W. B. Vasantha Kandasamy and Florentin Smarandache is an advanced mathematical text that extends classical linear algebra into a broader and more flexible framework. The book introduces the idea of "super structures", where vectors, matrices, and transformations are organized into partitions or blocks rather than treated as single uniform objects. This approach allows mathematicians to model more complex systems while preserving algebraic rigor. The authors carefully build on familiar ideas, making the transition from classical to super concepts clear and systematic.
A major focus of the book is the development of "super vector spaces", "super matrices", and "super linear transformations". Classical notions such as basis, dimension, rank, eigenvalues, and linear independence are redefined and studied within the super framework. Through worked examples and structured explanations, the book shows how traditional linear algebra results can be generalized and where new behaviors emerge. This makes it especially useful for readers interested in structural generalization rather than routine computation.
The book also highlights applications in modern mathematical modeling, including "neutrosophic mathematics" and "generalized algebraic systems". Intended for graduate students and researchers, "Super Linear Algebra" provides both theoretical depth and conceptual clarity. Its emphasis on abstraction, structure, and application makes it a valuable reference for those exploring advanced and nontraditional extensions of linear algebra.
Book Detail :-
Title:
Super Linear Algebra by W. B. Vasantha Kandasamy, F. 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 Author :-
The author
W. B. Vasantha Kandasamy
is an Associate Professor in the Department of Mathematics, Indian Institute of Technology Madras, Chennai. She is known for her work in "algebra", "graph theory", and "fuzzy mathematics". She has authored many research papers and books, focusing on extending classical mathematical ideas into new generalized frameworks. Her writing is valued for clarity and for connecting abstract theory with practical mathematical modeling. "Florentin Smarandache" is an internationally recognized mathematician and philosopher, best known as the founder of "neutrosophic logic". His research spans "generalized algebra", logic, and applied mathematics, often challenging traditional boundaries. Together, their collaboration blends rigor and innovation, making their work influential in modern mathematical research.
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