This book presents interesting applications of abstract algebra to practical real-world problems. Especially for those whose interest in algebra is not confined to abstract theory, the text makes the study of abstract algebra more exciting and meaningful. The book is appropriate as either a text for an applied abstract algebra course or as a supplemental text for a standard course in abstract algebra. While fully developed, the algebraic theory presented is just what is required for the applications discussed in the book.
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S. R. Nagpaul was visiting Professor of Mathematics at Ohio University 1983-1984 and 1999-2004. He was formerly Head of the Department of Mathematics at St. Stephen's College, Delhi. Dr. Nagpaul received his Ph.D. from Harvard University under G. Birkhoff. He is a coauthor of two other texts: BASIC ABSTRACT ALGEBRA, Cambridge University Press, and LINEAR ALGEBRA, New Age Publisher. His special interest is in Discrete Mathematics.
S. K. Jain is a Distinguished Professor of Mathematics at Ohio University. He is also the Director of the Center of Ring Theory and its Applications. Before joining the faculty at Ohio University, he was a Reader in Mathematics at the University of Delhi (1965-70). Dr. Jain has held visiting professor appointments at several institutions worldwide. His visiting positions include the Riverside, Santa Barbara and Berkeley campuses of the University of California, the Ohio State University in Columbus, North Carolina State University in Raleigh, University of Chicago, McMaster University in Hamilton and University of Frankfurt as well as the Indian Statistical Institute, and the Indian Institute of Technology. Dr. Jain has authored more than 100 research articles that have been published in professional journals. He was awarded the Outstanding Graduate Faculty Award, 1999- Ohio University. A life member of the Indian Mathematical Society, he is also a member of the American Mathematical Society and the Society for Industrial and Applied Mathematics. He has delivered Professional lectures at mathematical meetings all over the world and has been the organizer of conferences on many topics in Abstract Algebra. He is an executive editor of the East-West Journal of Mathematics and executive editor of the Journal of Algebra and its Applications, published by World Scientific Press. He has supervised 18 Ph.D. dissertations in noncommutative rings, modules, and applied linear algebra.
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