The Indian Number System - Rao, Ganti Prasada
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This book presents well-established modern methods of representation and quantitative evaluation for a variety of entities, constants, functions, vectors, random quantities, fuzzy sets, and abstract entities such as relationships, cooperation, dependence, etc. and reveals striking similarities between these modern concepts and the Hindu-Arabic Decimal Number System. We regularly work with them without realizing these similarities perhaps because the centuries old Indian Number System became so commonplace today that these connections are not evidenced either by citations in the literature. It…mehr

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Produktbeschreibung
This book presents well-established modern methods of representation and quantitative evaluation for a variety of entities, constants, functions, vectors, random quantities, fuzzy sets, and abstract entities such as relationships, cooperation, dependence, etc. and reveals striking similarities between these modern concepts and the Hindu-Arabic Decimal Number System. We regularly work with them without realizing these similarities perhaps because the centuries old Indian Number System became so commonplace today that these connections are not evidenced either by citations in the literature. It is hoped that this book will serve to throw some new light on the INS which is held in high esteem by great minds. The size of this book, its presentation in simple terms devoid of mystifying jargon, and its capture of the basic elements of the vast subject of mathematical concepts, especially in the field of systems and signals, are expected to be attractive to both teachers and students.
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Autorenporträt
Ganti Prasada Rao is an Emeritus Professor of Electrical Engineering, Indian Institute of Technology, Kharagpur, India, with several decades of experience in teaching and research. He is well known for his direct methods of Identification of Continuous-time Systems and applications of special orthogonal functions in the field of Systems and Control. He is an Honorary Professor of East china University of Science and Technology, Shanghai, PR china and was visiting professor at universities in the UK and Europe. He was Technical Advisor to the Water and Electricity Department, Government of Abu Dhabi. He authored/ co-authored over 150 research papers and six books in the field of systems and control. He is on the editorial boards of several International Research Journals. He is a Member of UNESCO-EOLSS Joint Committee. He is a Life Fellow of IEEE and Indian National Academy of Engineering and other professional bodies in India and abroad. He has been a frequently invited speaker on the Indian mathematical heritage and the impact of the Indian number system on the field of mathematics, subjects on which he has been pursuing independent research over the last 30 years. The results have not been published so far but are put together only in this book for the first time at the behest of many colleagues and friends. This book begins with Aristotle's definition of mathematics as "the science of quantity" and reveals many connections between the Indian Number System (INS) and some key concepts in modern mathematics. They are methods of representation and quantitative evaluation of a variety of entities we handle today. We work with them without realizing that conceptually their roots can be traced back to the centuries old structure of the Indian Decimal Number System.