Subscribe for Newsletters and Discounts
Be the first to receive our thoughtfully written
religious articles and product discounts.
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.
.
Share
Share our website with your friends.
Email this page to a friend
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)
Books > Philosophy > Philosophy of Numbers
Displaying 504 of 2697         Previous  |  NextSubscribe to our newsletter and discounts
Philosophy of Numbers
Philosophy of Numbers
Description

From The Jacket

This book is about numbers and so many questions relating to them. What is the nature of numbers are they discovered or invented? What is mystical about them? Mathematicians develop a hierarchy of numbers in which mysterious dichotomies appear. For example, the integer 5 is not the same as the rational 5 which in turn is different from the real 5. The author explains how this conceptual maze does not affect the laypersons' arithmetic. He also discusses such fascinating topics as primes, perfect numbers, inaccessible numbers and many other unsolved problems relating to the treacherous terrain of infinity, which have baffled mathematicians and philosophers alike.

Jayant Burde has academic/professional qualifications in mathematics, physics, haw and banking. His published papers contain mathematical models in finance and organizational structure. He is also the author of the book Rituals, Mantras and Science.

Preface

This book is about numbers. It tries to answer many questions relating to them. What is the nature of number? Are they discovered or invented? Are they eternal or immortal? What are finite and infinite numbers? What is mystical about them?

It shows, how starting with a collection of objects a hierarchy of numbers-the natural numbers, integers, rationals, irrationals, real numbers and complex numbers can be constructed. It also discusses such topics as primes, perfect numbers, infinite numbers, cryptopgraphy, Fibonacci numbers, the Fermat's last theorem and also many unsolved problems relating to numbers.

The only prerequisite for understanding this book is the knowledge of high school mathematics and a desire to know more about numbers. All mathematical concepts which the common reader is not likely to be familiar are explained at the appropriate stages. Since this is not a treatise on mathematics most theorems are stated without proof.

Most of these results can be appreciated intuitively except those which baffle even mathematicians. I hope, the many illustrations which I have included will enable the reader to have an insight which a rigorous formal treatment cannot provide.

Though meant for a general audience, the students of mathematics and philosophy should also find the book interesting. Bertrand Russell often reprimanded philosophers for not learning sufficient mathematics. A similar criticism can be leveled against mathematicians who feel that philosophy is either irrelevant or far beneath their intellectual level.

With their superior logical mind mathematicians can create countless systems which are self-consistent. Most of these systems are, however, drab unless they have a philosophical dimensions. If mathematicians care to develop a philosophical approach to their problems, they will find a new depth which will enable them to unify and solve many problems which appear disparate as well as intractable. What's more, they will find, to their surprise, tha philosophy can provide a link between their abstruse world of symbols and the world in which common people live.

There are a few books on the philosophy of mathematics, but I have not come across a treatise which exclusively deals with numbers. I hope this book will fill this void.

 

  Preface ix
  Acknowledgements xi
1 The Numbers We Know 1
2 The Natural Numbers-The Serial Concept 10
3 Sets and Classes 14
4 The Algebra of Sets 21
5 Relations 27
6 The Natural Numbers and Logic 35
7 Mapping 42
8 The Natural Numbers and Mapping 50
9 Abstract Algebra 56
10 Order 66
11 Finite and Infinite Numbers 72
12 Relation Number and Structure 79
13 The Integers and Rationals as Relations 83
14 The Integers as Classes 87
15 Rational Numbers as Classes 94
16 Real Numbers-Dedekind's Theory 98
17 Sequences 103
18 The Real Numbers 110
19 The Real Numbers and Infinite Continuum 119
20 The Complex Numbers 128
21 Infinite Cardinals and Ordinals 135
22 The Elusive Primes 143
23 Numbers and Secret Communications 152
24 The Mystical Perfect Numbers 163
25 The Fermat's Last Theorem 171
26 Some Intriguing Numbers 180
27 The Grammar of Numbers 187
28 The Treacherous Infinity 199
29 Wrestling with Numbers 207
30 Numbers: Reality and Mysticism 222
31 The Nature of Numbers 233
  Bibliography 247
  Index 249

Sample Pages

















Philosophy of Numbers

Item Code:
IDI811
Cover:
Hardcover
Edition:
2007
Publisher:
Munshiram Manoharlal Publishers Pvt. Ltd.
ISBN:
8121511763
Language:
English
Size:
8.8" X 5.6
Pages:
262
Other Details:
Weight of Book: 467 gms
Price:
$30.00   Shipping Free
Add to Wishlist
Send as e-card
Send as free online greeting card
Philosophy of Numbers

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 3521 times since 29th Feb, 2016

From The Jacket

This book is about numbers and so many questions relating to them. What is the nature of numbers are they discovered or invented? What is mystical about them? Mathematicians develop a hierarchy of numbers in which mysterious dichotomies appear. For example, the integer 5 is not the same as the rational 5 which in turn is different from the real 5. The author explains how this conceptual maze does not affect the laypersons' arithmetic. He also discusses such fascinating topics as primes, perfect numbers, inaccessible numbers and many other unsolved problems relating to the treacherous terrain of infinity, which have baffled mathematicians and philosophers alike.

Jayant Burde has academic/professional qualifications in mathematics, physics, haw and banking. His published papers contain mathematical models in finance and organizational structure. He is also the author of the book Rituals, Mantras and Science.

Preface

This book is about numbers. It tries to answer many questions relating to them. What is the nature of number? Are they discovered or invented? Are they eternal or immortal? What are finite and infinite numbers? What is mystical about them?

It shows, how starting with a collection of objects a hierarchy of numbers-the natural numbers, integers, rationals, irrationals, real numbers and complex numbers can be constructed. It also discusses such topics as primes, perfect numbers, infinite numbers, cryptopgraphy, Fibonacci numbers, the Fermat's last theorem and also many unsolved problems relating to numbers.

The only prerequisite for understanding this book is the knowledge of high school mathematics and a desire to know more about numbers. All mathematical concepts which the common reader is not likely to be familiar are explained at the appropriate stages. Since this is not a treatise on mathematics most theorems are stated without proof.

Most of these results can be appreciated intuitively except those which baffle even mathematicians. I hope, the many illustrations which I have included will enable the reader to have an insight which a rigorous formal treatment cannot provide.

Though meant for a general audience, the students of mathematics and philosophy should also find the book interesting. Bertrand Russell often reprimanded philosophers for not learning sufficient mathematics. A similar criticism can be leveled against mathematicians who feel that philosophy is either irrelevant or far beneath their intellectual level.

With their superior logical mind mathematicians can create countless systems which are self-consistent. Most of these systems are, however, drab unless they have a philosophical dimensions. If mathematicians care to develop a philosophical approach to their problems, they will find a new depth which will enable them to unify and solve many problems which appear disparate as well as intractable. What's more, they will find, to their surprise, tha philosophy can provide a link between their abstruse world of symbols and the world in which common people live.

There are a few books on the philosophy of mathematics, but I have not come across a treatise which exclusively deals with numbers. I hope this book will fill this void.

 

  Preface ix
  Acknowledgements xi
1 The Numbers We Know 1
2 The Natural Numbers-The Serial Concept 10
3 Sets and Classes 14
4 The Algebra of Sets 21
5 Relations 27
6 The Natural Numbers and Logic 35
7 Mapping 42
8 The Natural Numbers and Mapping 50
9 Abstract Algebra 56
10 Order 66
11 Finite and Infinite Numbers 72
12 Relation Number and Structure 79
13 The Integers and Rationals as Relations 83
14 The Integers as Classes 87
15 Rational Numbers as Classes 94
16 Real Numbers-Dedekind's Theory 98
17 Sequences 103
18 The Real Numbers 110
19 The Real Numbers and Infinite Continuum 119
20 The Complex Numbers 128
21 Infinite Cardinals and Ordinals 135
22 The Elusive Primes 143
23 Numbers and Secret Communications 152
24 The Mystical Perfect Numbers 163
25 The Fermat's Last Theorem 171
26 Some Intriguing Numbers 180
27 The Grammar of Numbers 187
28 The Treacherous Infinity 199
29 Wrestling with Numbers 207
30 Numbers: Reality and Mysticism 222
31 The Nature of Numbers 233
  Bibliography 247
  Index 249

Sample Pages

















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

Related Items

Vishnu Vaikuntha
Brass Sculpture
24 inch X 15 inch X 9 inch
18.54 kg
Item Code: XO49
$795.00
Jala-Krida: Krishna's Water-Sport
Water Color Painting On Paper
Artist: Kailash Raj
7.5 inch X 11 inch
Item Code: HN43
$395.00
 With Frame (Add $90.00)
Wisdom Frozen in Time In Search of Treasure…Chennai, Mysore & Melukote - Volume 2 (DVD)
R. Bharathadri, Script: Dr. Gautam Chatterjee
Indira Gandhi National Centre for the Arts, New Delhi
88:49 Minutes
Item Code: ICJ064
$28.00
Sri Shirdi Saibaba Mantras Sanskrit (Audio CD)
Prof. R.Thiagarajan, Jagadeesa Bhatt, Raghavendran
Super Audio (Chennai) Pvt. Ltd. (2007)
Item Code: ICR006
$22.00
Jataka Tales Moral Stories (Vol. II DVD Video)
Super Audio (Madras) (2008)
60:00 Minutes
Item Code: ICK087
$24.00
Jadavpur Journal of Philosophy: Volume 23 Number 1(English) 2013-14
Paperback (Edition: 2014)
Department of Philosophy Jadavpur University, Kolkata
Item Code: NAH553
$21.00
The Number of Rasa-s
by V. Raghavan Foreword by Prof. M. Hiriyanna
Hardcover (Edition: 2010)
The Adyar Library and Research Centre
Item Code: IDH334
$30.00
Numbers Their Iconographic Consideration in Buddhist and Hindu Practices
by Fredrick W. Bunce
Hardcover (Edition: 2002)
D. K. Printworld Pvt. Ltd.
Item Code: IDD022
$37.50
रसों की संख्या: Number of Rasas
by प्रो. वी. राघवन (Prof. V. Raghavan)
Hardcover (Edition: 2007)
Vishwavidyalaya Prakashan Varanasi
Item Code: NZC740
$20.00
Kalyana-Kalpataru: Hindu Samskrti Number (An Old and Rare Book)
by Keshoram Aggarwal
Paperback (Edition: 2000)
Gita Press, Gorakhpur
Item Code: IDG154
$30.00
Sadhana Number (Special Issue of English Magazine Kalyana)
by Keshoram Aggarwal
Paperback (Edition: 2011)
Gita Press, Gorakhpur
Item Code: NAC770
$25.00
Number System in Sanskrit
by Dr. N.Ramamurthy
Paperback (Edition: 2014)
CBH Publications
Item Code: NAI051
$22.00

Testimonials

I’ve received my blue scarf and I am delighted. I am impressed by your professionalism. Thank you so much! I will place another order soon.
Celine, France
Received the consignment in time. Excellent service. I place on record your prompt service and excellent way the product was packed and sent. Kindly accept my appreciation and thanks for all those involved in this work. My prayers t the Almighty to continue the excellent service for the many more years to come. Long live EXOTIC INDIA and its employees
N.KALAICHELVAN, Tamil Nadu
A very thorough and beautiful website and webstore. I have tried for several years to get this Bhagavad Gita Home Study Course from Arshavidya and have been unable. Was so pleased to find it in your store!
George Marshall
A big fan of Exotic India. Have been for years and years. I am always certain to find exactly what I am looking for in your merchandise.
John Dash, western New York, USA
I just got my order and it’s exactly as I hoped it would be!
Nancy, USA.
It is amazing. I am really very very happy with your excellent service. I received the book today in an awesome condition. Thanks again.
Shambhu, New York.
Thank you for making available some many amazing literary works!
Parmanand Jagnandan, USA
I have been very happy with your service in selling Puranas. I have bought several in the past and am happy with the packaging and care you exhibit. Thank you for this Divine Service.
Raj, USA
Thank you very much! My grandpa received the book today and the smile you put on his face was priceless. He has been trying to order this book from other companies for months now. He only recently asked me for help and you have made this transaction so easy. My grandpa is so happy he wants to order two more copies. I am currently in the process of ordering 2 more.
Rinay, Australia
I would just let you know that today I received my order. It was packed so beautifully and what lovely service.
Caroline, Australia
TRUSTe online privacy certification
Language:
Currency:
All rights reserved. Copyright 2016 © Exotic India