VEDIC MATHEMATICS

VEDIC MATHEMATICS `VEDIC' OR `MATHEMATICS': A FUZZY & NEUTROSOPHIC

ANALYSIS

W. B. Vasantha Kandasamy e-mail: vasanthakandasamy@

web:

Florentin Smarandache e-mail: smarand@unm.edu

AUTOMATON Los Angeles

2006

1

This book can be ordered in a paper bound reprint from: Books on Demand ProQuest Information & Learning (University of Microfilm International) 300 N. Zeeb Road P.O. Box 1346, Ann Arbor MI 48106-1346, USA Tel.: 1-800-521-0600 (Customer Service)



This book has been peer reviewed and recommended for publication by:

Prof. Zhang Wenpeng, Department of Mathematics, Northwest University, Xi'an, Shaanxi, P.R.China. Prof. Ion Goian, Department of Algebra, Number Theory and Logic, State University of Kishinev, R. Moldova. Dr. Albena Tchamova, Bulgarian Academy of Sciences, Sofia, Bulgaria.

Copyright 2006 by Automaton, W. B. Vasantha Kandasamy and Florentin Smarandache Legal Jurisdictions: Chennai Courts only Cover Design and Layout by Kama Kandasamy

Many books can be downloaded from the following Digital Library of Science:

ISBN: 1-59973-004-9

Standard Address Number: 297-5092 Printed in the United States of America

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

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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

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