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Vedic Mathematics : 'Vedic' or 'Mathematics' : A Fuzzy & Neutrosophic Analysis

By Smarandache, Florentin

Book Id:WPLBN0002828495 Format Type:PDF (eBook) File Size:883.48 kb Reproduction Date:8/21/2013

Smarandache, F., & Vasantha Kandasamy, W. B. (2013). Vedic Mathematics : 'Vedic' or 'Mathematics' : A Fuzzy & Neutrosophic Analysis. Retrieved from http://gutenberg.us/

Description
This book has five chapters. In Chapter I, we give a brief description of the sixteen sutras invented by the Swamiji. Chapter II gives the text of select articles about Vedic Mathematics that appeared in the media. Chapter III recalls some basic notions of some Fuzzy and Neutrosophic models used in this book. This chapter also introduces a fuzzy model to study the problem when we have to handle the opinion of multiexperts. Chapter IV analyses the problem using these models. The final chapter gives the observations made from our study.

Summary
In this book the authors probe into Vedic Mathematics (a concept that gained renown in the period of the religious fanatic and revivalist Hindutva rule in India): and explore whether it is really ‘Vedic’ in origin or ‘Mathematics’ in content. The entire field of Vedic Mathematics is supposedly based on 16 one-to three-word sutras (aphorisms) in Sanskrit, which they claim can solve all modern mathematical problems.

Excerpt
We then remove the common factor if any from each and we find x + 1 staring us in the face i.e. x + 1 is the HCF. Two things are to be noted importantly.
(1) We see that often the subsutras are not used under the main sutra for which it is the subsutra or the corollary. This is the main deviation from the usual mathematical principles of theorem (sutra) and corollaries (subsutra).
(2) It cannot be easily compromised that a single sutra (a Sanskrit word) can be mathematically interpreted in this manner even by a stalwart in Sanskrit except the Jagadguru Puri Sankaracharya.
We wind up the material from the book of Vedic Mathematics and proceed on to give the opinion/views of great personalities on Vedic Mathematics given by Jagadguru.
Since the notion of integral and differential calculus was not in vogue in Vedic times, here we do not discuss about the authenticated inventor, further we have not given the adaptation of certain sutras in these fields. Further as most of the educated experts felt that since the Jagadguru had obtained his degree with mathematics as one of the subjects, most of the results given in book on Vedic Mathematics were manipulated by His Holiness.

Table of Contents
Preface 5
Chapter One
INTRODUCTION TO VEDIC MATHEMATICS 9
Chapter Two
ANALYSIS OF VEDIC MATHEMATICS BY MATHEMATICIANS AND OTHERS 31
2.1 Views of Prof. S.G.Dani about Vedic Mathematics from Frontline 33
2.2 Neither Vedic Nor Mathematics 50
2.3 Views about the Book in Favour and Against 55
2.4 Vedas: Repositories of Ancient Indian Lore 58
2.5 A Rational Approach to Study Ancient Literature 59
2.6 Shanghai Rankings and Indian Universities 60
2.7 Conclusions derived on Vedic Mathematics and the Calculations of Guru Tirthaji - Secrets of
Ancient Maths 61
Chapter Three
INTRODUCTION TO BASIC CONCEPTS AND A NEW FUZZY MODEL 65
3.1 Introduction to FCM and the Working of this Model 65
3.2 Definition and Illustration of Fuzzy Relational Maps (FRMS) 72
3.3 Definition of the New Fuzzy Dynamical System 77
3.4 Neutrosophic Cognitive Maps with Examples 78
3.5 Description of Neutrosophic Relational Maps 87
3.6 Description of the new Fuzzy Neutrosophic model 92
Chapter Four
MATHEMATICAL ANALYSIS OF THE VIEWS ABOUT VEDIC MATHEMATICS USING FUZZY MODELS 95
4.1 Views of students about the use of Vedic Mathematics in their curriculum 97
4.2 Teachers views on Vedic Mathematics and its overall influence on the Students Community 101
4.3 Views of Parents about Vedic Mathematics 109
4.4 Views of Educationalists about Vedic Mathematics 114
4.5 Views of the Public about Vedic Mathematics 122
Chapter Five
OBSERVATIONS 165
5.1 Students’ Views 165
5.2 Views of Teachers 169
5.3 Views of Parents 180
5.4 Views of the Educated 182
5.5 Observations from the Views of the Public 193
REFERENCE 197
INDEX 215
ABOUT THE AUTHORS 220