Subscribe for Newsletters and Discounts
Be the first to receive our thoughtfully written
religious articles and product discounts.
Your interests (Optional)
This will help us make recommendations and send discounts and sale information at times.
By registering, you may receive account related information, our email newsletters and product updates, no more than twice a month. Please read our Privacy Policy for details.
.
By subscribing, you will receive our email newsletters and product updates, no more than twice a month. All emails will be sent by Exotic India using the email address info@exoticindia.com.

Please read our Privacy Policy for details.
|6
Your Cart (0)
Share our website with your friends.
Email this page to a friend
Books > History > The Two Facets of Geometry
Displaying 1853 of 4978         Previous  |  NextSubscribe to our newsletter and discounts
The Two Facets of Geometry
The Two Facets of Geometry
Description
About the Book & the Author

Editor: Prof. K.V. Krishna Murty

One of the most significant stages in the development of modern science is the comprehension of transcendental numbers. With the advent of these numbers the boundary between number and geometry was removed. The papers in this volume the two facets of geometry have their origin in the nascent ideas of Sri Kalyanananda Bharati Swamy expressed in his book Purnamimamsadarasanam which raised the status of a circle to that of Godhead. It is hoped that the readers would benefit by scrutiny of the ideas in these papers.

Gurajada Suryanarayana Murthy the author of this book began his career of research in theoretical physics at physical Research Laboratory Ahmedabad. In 1955 he joined Tata Institute of fundamental Research Bombay and was deputed to Royal institute of technology, Stockholm Sweden in 1959 for advanced research and obtained his Ph.D. Degree in 1961. He moved to Bhabha Atomic Research Center in 1968 and retired from service on superannuation in 1991.

After retirement he started connecting the field of mathematics and the field of metaphysics and he published two books (i) Srichakram - its Geometry & Metaphysics and (ii) Paratatva Ganita Darshanam. The present volume is a collection of four of his other papers in the same direction.

 

Editor Note

Counting and duality emerge out from a single point. A corollary of this statement is that Mathematics and duality are inseparable, since Mathematics is nothing but an extended process if counting. Counting and logic are the facets of the same coin. Logic, again, has a dual role. It can make a mind both extravert and introvert simultaneously. As an embodiment of logic, mathematics too has a dual nature of manifesting itself as a number and a line, which represent space and time independently and jointly. Of these two, the line has a stronger ability to transcend space and time.

The sages of Tantra Vidya had utilized this aspect of Mathematics of lines", i.e., Geometry and worked wonders on this subject. Unfortunately, the theory behind such Tantra Mathematics and its channels of expansion have been lost and we have inherited mere text books of Tantra, with a variety of Yantra and Mantras.

Rare Saints like Sri Kalyananda Bharati of 19m Century and genius mathematician like Dr.G.S.Mu1ty of 20th Century were gifted with the required insight to understand, explore and explain the inner depths of Tantric Mathematics and the present work" The Two Facets of Geometry" is an example of their explorations. Some of the so called modern mathematicians may not be interested in this type of mathematical analysis but that can it diminish the value of this study, since it definitely opens new horizons of mathematical logic, which can connect the finite and infinite.

The papers are really meant for research scholars of advanced mathematics and we hope that our Universities will encourage their students and scholars to study these papers, so that they can probe more deeply and bring out more and more precious gems.

It is with this vision that, I-SERVE has undertaken the publication of this book. I - SERVE, a research institute dedicated to dig out the technical details of the ancient Vedic Sciences, divided ancient mathematics, for the sake of convenience, into three parts viz., Mathematics of (i) the Vedic periods (ii) the Tantrik periods and (iii) the Vedic Mathematics of Bharati Krishna Teertha.

In the first category, I-SERVE already published a wonderful work "Presiddhantic Indian Astronomy" by late Prof. K.D. Abhyankar. In the third category volumes on Vedic Arithmatics and Vedic Algebra are prepared by I-SERVE and awaiting a suitable publisher. In the 2nd Category (The Tantra Category), the experts available are very few. We are fortunate that Dr. G.S. Murty, a frontline physicist and mathematician of international repute, has been working slowly in this line, since a few decades and some of his papers, in this field were published by I—SERVE in some of its conference volumes.

We are glad that we are able to put those and other papers of Dr. G.S. Murty, related to this subject, in a sequential order and publish them as a book. We are aware that no perfection can be claimed in this type of research, since it is almost like a pilot project. However, our efforts are fruitful, if it can trigger enthusiasm in the researchers of mathematics.

We are sure that this collection would provoke new thoughts, open new annals of study and reveal newer depths of ancient Indian Mathematics, through thoughtful and blessed readers.

We thank Dr. G.S. Murty for his ready acceptance to publish his papers in a book form. We also thank all those pious hands and hearts whose cooperation is making I-SERVE survive and succeed.

 

Contents

 

Editors note iii
Author’s Note v
About I - SERVE viii
I. Theory Behind Mathematics 1-27
Abstract 1
Introduction 3
Mathematical Constants 9
Mathematics of unit Circle 12
Philosophical Issues of roots of unity 14
Inquiry into nature of time 18
Inquiry into nature of Mithya and Avidya 23
Conclusion 26
II. Advaita is Mathematical Truth 28-56
Editor’s Note 28
Introduction 30
Quotations from Purnamimasadarsamam 32
Roots of Unity 35
Interpretation of Avidya 39
Interpretation of Aham and Ahankara 45
Three Roots of Unity 47
Tattvamasi 49
Discussion 51
III. A Mathematical View of The Principle of Quintuplication 57-98
Introduction 57
Review of Pancikaranam 59
Meaning of fractions in Pancikaranam 71
Detour into Vedanta 73
From Unity to Diversity 82
From Diversity to Unity 87
Conclusion 89
Appendix 1. The Meaning of Adjuct (upadhi) 92
IV. What can we learn from science about ourselves 99-112
Introduction 99
What is Problem that we face now? 100
Intellectual traits of human being 102
Evolution of Rule of Law 104
The Choices before Human Being 107
Education of Individual the Fundamental Duty of civilization 111
Conclusion 112

Sample Pages









The Two Facets of Geometry

Item Code:
IHL819
Cover:
Paperback
Edition:
2010
ISBN:
9788190632256
Size:
8.5 inch X 5.5 inch
Pages:
128 (Full B/W Illustrations)
Other Details:
Weight of the Book: 200 gms
Price:
$12.50
Discounted:
$9.38   Shipping Free
You Save:
$3.12 (25%)
Add to Wishlist
Send as e-card
Send as free online greeting card
The Two Facets of Geometry

Verify the characters on the left

From:
Edit     
You will be informed as and when your card is viewed. Please note that your card will be active in the system for 30 days.

Viewed 4831 times since 28th Feb, 2016
About the Book & the Author

Editor: Prof. K.V. Krishna Murty

One of the most significant stages in the development of modern science is the comprehension of transcendental numbers. With the advent of these numbers the boundary between number and geometry was removed. The papers in this volume the two facets of geometry have their origin in the nascent ideas of Sri Kalyanananda Bharati Swamy expressed in his book Purnamimamsadarasanam which raised the status of a circle to that of Godhead. It is hoped that the readers would benefit by scrutiny of the ideas in these papers.

Gurajada Suryanarayana Murthy the author of this book began his career of research in theoretical physics at physical Research Laboratory Ahmedabad. In 1955 he joined Tata Institute of fundamental Research Bombay and was deputed to Royal institute of technology, Stockholm Sweden in 1959 for advanced research and obtained his Ph.D. Degree in 1961. He moved to Bhabha Atomic Research Center in 1968 and retired from service on superannuation in 1991.

After retirement he started connecting the field of mathematics and the field of metaphysics and he published two books (i) Srichakram - its Geometry & Metaphysics and (ii) Paratatva Ganita Darshanam. The present volume is a collection of four of his other papers in the same direction.

 

Editor Note

Counting and duality emerge out from a single point. A corollary of this statement is that Mathematics and duality are inseparable, since Mathematics is nothing but an extended process if counting. Counting and logic are the facets of the same coin. Logic, again, has a dual role. It can make a mind both extravert and introvert simultaneously. As an embodiment of logic, mathematics too has a dual nature of manifesting itself as a number and a line, which represent space and time independently and jointly. Of these two, the line has a stronger ability to transcend space and time.

The sages of Tantra Vidya had utilized this aspect of Mathematics of lines", i.e., Geometry and worked wonders on this subject. Unfortunately, the theory behind such Tantra Mathematics and its channels of expansion have been lost and we have inherited mere text books of Tantra, with a variety of Yantra and Mantras.

Rare Saints like Sri Kalyananda Bharati of 19m Century and genius mathematician like Dr.G.S.Mu1ty of 20th Century were gifted with the required insight to understand, explore and explain the inner depths of Tantric Mathematics and the present work" The Two Facets of Geometry" is an example of their explorations. Some of the so called modern mathematicians may not be interested in this type of mathematical analysis but that can it diminish the value of this study, since it definitely opens new horizons of mathematical logic, which can connect the finite and infinite.

The papers are really meant for research scholars of advanced mathematics and we hope that our Universities will encourage their students and scholars to study these papers, so that they can probe more deeply and bring out more and more precious gems.

It is with this vision that, I-SERVE has undertaken the publication of this book. I - SERVE, a research institute dedicated to dig out the technical details of the ancient Vedic Sciences, divided ancient mathematics, for the sake of convenience, into three parts viz., Mathematics of (i) the Vedic periods (ii) the Tantrik periods and (iii) the Vedic Mathematics of Bharati Krishna Teertha.

In the first category, I-SERVE already published a wonderful work "Presiddhantic Indian Astronomy" by late Prof. K.D. Abhyankar. In the third category volumes on Vedic Arithmatics and Vedic Algebra are prepared by I-SERVE and awaiting a suitable publisher. In the 2nd Category (The Tantra Category), the experts available are very few. We are fortunate that Dr. G.S. Murty, a frontline physicist and mathematician of international repute, has been working slowly in this line, since a few decades and some of his papers, in this field were published by I—SERVE in some of its conference volumes.

We are glad that we are able to put those and other papers of Dr. G.S. Murty, related to this subject, in a sequential order and publish them as a book. We are aware that no perfection can be claimed in this type of research, since it is almost like a pilot project. However, our efforts are fruitful, if it can trigger enthusiasm in the researchers of mathematics.

We are sure that this collection would provoke new thoughts, open new annals of study and reveal newer depths of ancient Indian Mathematics, through thoughtful and blessed readers.

We thank Dr. G.S. Murty for his ready acceptance to publish his papers in a book form. We also thank all those pious hands and hearts whose cooperation is making I-SERVE survive and succeed.

 

Contents

 

Editors note iii
Author’s Note v
About I - SERVE viii
I. Theory Behind Mathematics 1-27
Abstract 1
Introduction 3
Mathematical Constants 9
Mathematics of unit Circle 12
Philosophical Issues of roots of unity 14
Inquiry into nature of time 18
Inquiry into nature of Mithya and Avidya 23
Conclusion 26
II. Advaita is Mathematical Truth 28-56
Editor’s Note 28
Introduction 30
Quotations from Purnamimasadarsamam 32
Roots of Unity 35
Interpretation of Avidya 39
Interpretation of Aham and Ahankara 45
Three Roots of Unity 47
Tattvamasi 49
Discussion 51
III. A Mathematical View of The Principle of Quintuplication 57-98
Introduction 57
Review of Pancikaranam 59
Meaning of fractions in Pancikaranam 71
Detour into Vedanta 73
From Unity to Diversity 82
From Diversity to Unity 87
Conclusion 89
Appendix 1. The Meaning of Adjuct (upadhi) 92
IV. What can we learn from science about ourselves 99-112
Introduction 99
What is Problem that we face now? 100
Intellectual traits of human being 102
Evolution of Rule of Law 104
The Choices before Human Being 107
Education of Individual the Fundamental Duty of civilization 111
Conclusion 112

Sample Pages









Post a Comment
 
Post Review
Post a Query
For privacy concerns, please view our Privacy Policy

Based on your browsing history

Loading... Please wait

Related Items

The Curious Hats of Magical Maths: Vedic Mathematics for Schools (Set of 2 Volumes)
Item Code: NAK740
$45.00$33.75
You save: $11.25 (25%)
Add to Cart
Buy Now
Ancient Indian Mathematics (With Special Reference to Vedic Mathematics and Astronomy)
Item Code: NAH304
$30.00$22.50
You save: $7.50 (25%)
Add to Cart
Buy Now
Astronomy & Mathematics In Kerala
Item Code: NAH311
$15.00$11.25
You save: $3.75 (25%)
Add to Cart
Buy Now
Vedic Mathematics
Item Code: IDD410
$25.00$18.75
You save: $6.25 (25%)
Add to Cart
Buy Now
The Curious Hats of Magical Maths (Book- 2)
Item Code: NAE322
$35.00$26.25
You save: $8.75 (25%)
Add to Cart
Buy Now
Vedic Mathematics for Schools (Book 3)
Item Code: NAI122
$25.00$18.75
You save: $6.25 (25%)
Add to Cart
Buy Now
The Curious Hats of Magical Maths
Item Code: NAG037
$30.00$22.50
You save: $7.50 (25%)
Add to Cart
Buy Now
Indian Mathematics in Sanskrit: Concepts and Achievements
Item Code: IDK893
$22.50$16.88
You save: $5.62 (25%)
Add to Cart
Buy Now
Ganitaavadhaanam (For Trick of Quick Maths)
Item Code: NAC086
$12.50$9.38
You save: $3.12 (25%)
Add to Cart
Buy Now
A Dictionary of Sanskrit English Technical Terms (Mathematics)
Item Code: NAC788
$55.00$41.25
You save: $13.75 (25%)
Add to Cart
Buy Now
बीजगणितम्: Bija Ganitam (Geometry)
Item Code: NZE421
$35.00$26.25
You save: $8.75 (25%)
Add to Cart
Buy Now
Vedic Mathematics (30 Formulae Elucidated)
by Dr. Ramamurthy N
Paperback (Edition: 2014)
CBH Publications
Item Code: NAG114
$20.00$15.00
You save: $5.00 (25%)
Add to Cart
Buy Now

Testimonials

I love your site and although today is my first order, I have been seeing your site for the past several years. Thank you for providing such great art and books to people around the World who can't make it to India as often as we would like.
Rupesh
Heramba Ganapati arrived safely today and was shipped promptly. Another fantastic find from Exotic India with perfect customer service. Thank you. Jai Ganesha Deva
Marc, UK
I ordered Padmapani Statue. I have received my statue. The delivering process was very fast and the statue looks so beautiful. Thank you exoticindia, Mr. Vipin (customer care). I am very satisfied.
Hartono, Indonesia
Very easy to buy, great site! Thanks
Ilda, Brazil
Our Nandi sculpture arrived today and it surpasses all expectations - it is wonderful. We are not only pleasantly surprised by the speed of international delivery but also are extremely grateful for the care of your packaging. Our sculpture needed to travel to an off-lying island of New Zealand but it arrived safely because of how well it had been packaged. Based upon my experience of all aspects of your service, I have no hesitation in recommending Exotic India.
BWM, NZ
Best web site to shop on line.
Suman, USA
Thank you for having such a great website. I have given your site to all the people I get compliments on your merchandise.
Pat, Canada.
Love the website and the breadth of selection. Thanks for assembling such a great collection of art and sculpture.
Richard, USA
Another three books arrived during the last weeks, all of them diligently packed. Excellent reading for the the quieter days at the end of the year. Greetings to Vipin K. and his team.
Walter
Your products are uncommon yet have advanced my knowledge and devotion to Sanatana Dharma. Also, they are reasonably priced and ship quickly. Thank you for all you do.
Gregory, USA
TRUSTe
Language:
Currency:
All rights reserved. Copyright 2017 © Exotic India