Algebra

Prof. Sudarsan Nanda

Feb 2022 · Allied Publishers

I-Ebook

212

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The book contains topics as per the model syllabus of the University Grants Commission (UGC), India for a course an algebra and linear algebra and suitable for under graduate and post graduate students of mathematics. The book has been made self-contained with a preliminary chapter on set theory which also forms a part of the course. Besides set theory, the book contains topics like integer, groups, rings and fields, polynomial, vector spaces, linear transformation, matrices and Boolean Algebra.

The book is written in a simple and lucid manner with examples and applications so that the students can enjoy the applications of abstract topics to number theory and theory of equations (roots of polynomials). Finally it contains an additional chapter on fuzzy set theory.

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Sudarsan Nanda is a Ph.D. and D.Sc. in Mathematics and at present the Professor of Eminence and Research Chair at Kalinga Institute of Industrial Technology (KIIT), Deemed to be University (An Institute of Eminence), Bhubaneswar. He was Professor at Utkal University, Bhubaneswar, IIT Kharagpur and Vice Chancellor of North Orissa University, Baripada, Odisha, India.

His research interests include Functional Analysis, Sequence Spaces, optimization, Discrete Mathematics and Fuzzy logic.

He has published around 225 research papers, 45 conference papers, guided 21 Ph.D. students and authored/co-authored 18 books.

He is in the Editorial Board of many reputed journals of Mathematics including Journal of Fuzzy Mathematics and Advances in Nonlinear Variational Inequalities (ANVI).

He is a Fellow of the Institute of Mathematics and Applications (FIMA) (UK), former Associate of Abdus Salam International Centre for Theoretical Physics (ICTP), Trieste, (Italy), He was a visiting Professor/Visiting fellow in many Universities abroad and received many awards and recognitions.

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