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The text discusses the matrix and determinants, Cramer’s rule, Vandermonde determinants, vector spaces, inner product space, Jacobi’s theorem, linear transformation, eigenvalues and eigenvectors. Besides, set theory, relations and functions, inclusion and exclusion principle, group, subgroup, semigroup, ring, integral domain, field theories, Boolean algebra and its applications have also been covered thoroughly.
Each concept is supported by a large number of illustrations and 600 worked-out examples that help students understand the concepts in a clear way. Besides, MCQs and practice exercises are also provided at the end of each chapter with their answers to reinforce the students’ skill.
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AJIT PAL (PhD) is Professor in the Department of Computer Science and Engineering at Indian Institute of Technology Kharagpur. A recipient of Meghnad Saha Memorial Award and Best Paper Award, Dr. Pal is a Senior Member of the IEEE, USA and Fellow of the IETE, India.
Before joining IIT Kharagpur in the year 1982, Dr. Pal has been with Indian Statistical Institute, Kolkata, Indian Telephone Industries, Naini and Defence Electronics Research Laboratory, Hyderabad in various capacities. His research interests include embedded systems, low-power VLSI circuits, sensor networks and optical communications.
He is the principal investigator of several Sponsored Research Projects including ‘Low Power Circuits’, sponsored by Intel, USA and ‘Formal Methods for Power Intent Verification’, sponsored by Synopsis (India) Pvt. Ltd. With more than 30 years of teaching experience, Dr. Pal has over 125 publications to his credit in various reputed national and international journals and conference proceedings. He has authored books on Microprocessors and Microcontrollers and his book title Microprocessors: Principles and Applications is published by PHI Learning.
