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Philiosphy of Numbers

Philiosphy of Numbers

          
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About the Book

This book is about numbers and so many questions relating to them. What is the nature of numbers? Are they discovered or inviented? 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 layperson's arithmetic. He also discusses such fascinating topics as prime, perfect numbers, inaccessible numbers and many other unsolved problems relating to the treacherous terrain of infinity, which have baffled mathematicians and philosophers alike.
About Author :
Jayant Burde has academic/professional qualifications in mathematics, physics, law and banking. His published papers contain mathematical models in finance and organizational strucutre. He is also the author of the book Rituals, Mantras and Science.
Contents :
Preface
Acknowledgements
The Numbers We Know
The Natural Numbers-The Serial Concpet
Sets and Classes
The Algebra of Sets
Relations
The Natural Numbers and Logic
Mapping
The Natural Numbers and Mapping
Abstract Algebra
Order
Finite and Infinite Numbers
Relation Number and Strucutre
The Integers and Rationals as Relations
The Integers as Classes
Rational Numbers as Classes
Real Numbers-Dedekind's Theory
Sequences
The Real Numbers
The Real Numbers and Infinite Continuum
The Complex Numbers
Infinite Cardinals and Ordinals
The Elusive Primes
Numbers and Secret Communications
The Mystical Perfect Numbers
The Fermat's Last Theorem
Some Intriguing Numbers
The Grammar of Numbers
The Treacherous Infinity
Wrestling with Numbers
Numbers: Reality and Mysticism
The Nature of Numbers
Bibliography
Index


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Product Details
  • ISBN-13: 9788121511766
  • Publisher: Munshirm Manoharlal Pub Pvt Ltd
  • Binding: HARDCOVER
  • Height: 229 mm
  • No of Pages: 251
  • Weight: 454 gr
  • ISBN-10: 8121511763
  • Publisher Date: 30 May 2007
  • Depth: 19
  • Language: English
  • Returnable: N
  • Width: 152 mm


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