The Resource Numbers : computers, philosophers, and the search for meaning, John Tabak
Numbers : computers, philosophers, and the search for meaning, John Tabak
Resource Information
The item Numbers : computers, philosophers, and the search for meaning, John Tabak represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Internet Archive  Open Library.This item is available to borrow from all library branches.
Resource Information
The item Numbers : computers, philosophers, and the search for meaning, John Tabak represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Internet Archive  Open Library.
This item is available to borrow from all library branches.
 Summary
 Discusses the invention of numbers, including the daily applications, concepts, and the metric and American systems of measurement. One of the most fundamental concepts influencing the development of human civilization is numbers. While societies today rely on their understanding of numbers for everything from mapping the universe to running word processing programs on computers to buying lunch, numbers are a human invention. Babylonian, Roman, and Arabic societies devised influential systems for representing numbers, yet the story of how numbers developed is far more complicated. Concepts such as zero, negative numbers, fractions, irrational numbers, and roots of numbers were often controversial in the past. Numbers deals with the development of numbers from fractions to algebraic numbers to transcendental numbers to complex numbers and their uses. The book also examines in detail the number pi, the evolution of the idea of infinity, and the representation of numbers in computers. The metric and American systems of measurement as well as the applications of some historical concepts of numbers in such modern forms as cryptography and hand calculators are also covered. Illustrations, thoughtprovoking text, and other supplemental material cover the key ideas, figures, and events in the historical development of numbers
 Language
 eng
 Extent
 1 online resource (xiii, 224 pages
 Contents

 Acknowledgments
 Introduction: Number and imagination
 Numbers for computation: First problems
 Early counting systems
 Mesopotamian education
 Mesopotamian number system
 Mesopotamian mathematics homework
 Egyptian number system
 Problem from the Ahmes papyrus
 Mayan number system
 Chinese number system
 Problem from the nine chapters
 Our place value number system
 Explaining the new system
 Analytical engines: Calculators, computers, and the human imagination
 Charles Babbage and the analytical engine
 Early electronic representation of our number system
 Floatingpoint representation
 Floatingpoint arithmetic and your calculator
 Why computers?
 Extending the idea of a number: Evolving concept of a number
 Irrational numbers
 Pythagoras of samos
 Irrationality of [radical]2
 Negative numbers: Ancient mathematical texts from the Indian subcontinent
 Out of India
 Algebraic numbers: Tartaglia, Ferrari, and Cardano
 Girard and Wallis
 Euler and d'Alembert
 Debate over "fictitious" numbers
 Complex numbers: Modern view
 Using complex numbers
 Transcendental numbers and the search for meaning: Dedekind and the real number line
 Problem of infinity: Early insights
 Galileo and Bolzano
 Infinity as a number
 Life and opinions of Tristram Shandy, gentleman
 Georg Cantor and the logic of the infinite:
 There are no more rational numbers than natural numbers
 There are more real numbers than natural numbers
 Russell Paradox
 Resolving the Russell paradox
 Cantor's legacy: Kurt Godel
 Formal languages today
 Alan Turing
 Chronology
 Glossary
 Further reading
 Index
 Label
 Numbers : computers, philosophers, and the search for meaning
 Title
 Numbers
 Title remainder
 computers, philosophers, and the search for meaning
 Statement of responsibility
 John Tabak
 Language
 eng
 Summary
 Discusses the invention of numbers, including the daily applications, concepts, and the metric and American systems of measurement. One of the most fundamental concepts influencing the development of human civilization is numbers. While societies today rely on their understanding of numbers for everything from mapping the universe to running word processing programs on computers to buying lunch, numbers are a human invention. Babylonian, Roman, and Arabic societies devised influential systems for representing numbers, yet the story of how numbers developed is far more complicated. Concepts such as zero, negative numbers, fractions, irrational numbers, and roots of numbers were often controversial in the past. Numbers deals with the development of numbers from fractions to algebraic numbers to transcendental numbers to complex numbers and their uses. The book also examines in detail the number pi, the evolution of the idea of infinity, and the representation of numbers in computers. The metric and American systems of measurement as well as the applications of some historical concepts of numbers in such modern forms as cryptography and hand calculators are also covered. Illustrations, thoughtprovoking text, and other supplemental material cover the key ideas, figures, and events in the historical development of numbers
 Cataloging source
 DLC
 http://library.link/vocab/creatorName
 Tabak, John
 Dewey number
 513.2
 Illustrations
 illustrations
 Index
 index present
 LC call number
 QA141
 LC item number
 .T33 2004
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 Series statement

 Facts on File math library
 History of mathematics
 http://library.link/vocab/subjectName

 Numeration
 Counting
 Counting
 Numeration
 Nombres
 Label
 Numbers : computers, philosophers, and the search for meaning, John Tabak
 Bibliography note
 Includes bibliographical references (pages 203212) and index
 Carrier category
 volume
 Carrier category code
 nc
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 Acknowledgments  Introduction: Number and imagination  Numbers for computation: First problems  Early counting systems  Mesopotamian education  Mesopotamian number system  Mesopotamian mathematics homework  Egyptian number system  Problem from the Ahmes papyrus  Mayan number system  Chinese number system  Problem from the nine chapters  Our place value number system  Explaining the new system  Analytical engines: Calculators, computers, and the human imagination  Charles Babbage and the analytical engine  Early electronic representation of our number system  Floatingpoint representation  Floatingpoint arithmetic and your calculator  Why computers?  Extending the idea of a number: Evolving concept of a number  Irrational numbers  Pythagoras of samos  Irrationality of [radical]2  Negative numbers: Ancient mathematical texts from the Indian subcontinent  Out of India  Algebraic numbers: Tartaglia, Ferrari, and Cardano  Girard and Wallis  Euler and d'Alembert  Debate over "fictitious" numbers  Complex numbers: Modern view  Using complex numbers  Transcendental numbers and the search for meaning: Dedekind and the real number line  Problem of infinity: Early insights  Galileo and Bolzano  Infinity as a number  Life and opinions of Tristram Shandy, gentleman  Georg Cantor and the logic of the infinite:  There are no more rational numbers than natural numbers  There are more real numbers than natural numbers  Russell Paradox  Resolving the Russell paradox  Cantor's legacy: Kurt Godel  Formal languages today  Alan Turing  Chronology  Glossary  Further reading  Index
 Extent
 1 online resource (xiii, 224 pages
 Form of item
 online
 Media category
 unmediated
 Media MARC source
 rdamedia
 Media type code
 n
 Other physical details
 illustrations)
 Specific material designation
 remote
 System control number
 (OCoLC)1036740359
 Label
 Numbers : computers, philosophers, and the search for meaning, John Tabak
 Bibliography note
 Includes bibliographical references (pages 203212) and index
 Carrier category
 volume
 Carrier category code
 nc
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 Acknowledgments  Introduction: Number and imagination  Numbers for computation: First problems  Early counting systems  Mesopotamian education  Mesopotamian number system  Mesopotamian mathematics homework  Egyptian number system  Problem from the Ahmes papyrus  Mayan number system  Chinese number system  Problem from the nine chapters  Our place value number system  Explaining the new system  Analytical engines: Calculators, computers, and the human imagination  Charles Babbage and the analytical engine  Early electronic representation of our number system  Floatingpoint representation  Floatingpoint arithmetic and your calculator  Why computers?  Extending the idea of a number: Evolving concept of a number  Irrational numbers  Pythagoras of samos  Irrationality of [radical]2  Negative numbers: Ancient mathematical texts from the Indian subcontinent  Out of India  Algebraic numbers: Tartaglia, Ferrari, and Cardano  Girard and Wallis  Euler and d'Alembert  Debate over "fictitious" numbers  Complex numbers: Modern view  Using complex numbers  Transcendental numbers and the search for meaning: Dedekind and the real number line  Problem of infinity: Early insights  Galileo and Bolzano  Infinity as a number  Life and opinions of Tristram Shandy, gentleman  Georg Cantor and the logic of the infinite:  There are no more rational numbers than natural numbers  There are more real numbers than natural numbers  Russell Paradox  Resolving the Russell paradox  Cantor's legacy: Kurt Godel  Formal languages today  Alan Turing  Chronology  Glossary  Further reading  Index
 Extent
 1 online resource (xiii, 224 pages
 Form of item
 online
 Media category
 unmediated
 Media MARC source
 rdamedia
 Media type code
 n
 Other physical details
 illustrations)
 Specific material designation
 remote
 System control number
 (OCoLC)1036740359
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