How mathematicians think : using ambiguity, contradiction, and paradox to create mathematics / William Byers.

By:

Byers, William, 1943-

Material type: Text

text

Media type:

computer

Carrier type:

online resource

ISBN:

9781400833955
1400833957
9786612531453
6612531452
128253145X
9781282531451

Subject(s): Genre/Form:

Additional physical formats: Print version:: How mathematicians think.DDC classification:

510.92 22

LOC classification:

BF456.N7 B94 2007eb

Online resources:

Click here to access online

Contents:

Acknowledgments -- Introduction : Turning on the light -- Section 1 : The light of ambiguity ch. 1 -- Ambiguity in mathematics ch. 2 -- The contradictory in mathematics ch. 3 -- Paradoxes and mathematics : infinity and the real numbers ch. 4 -- More paradoxes of infinity : geometry, cardinality, and beyond -- Section 2 : The light as idea ch. 5. The -- idea as an organizing principle ch. 6 -- Ideas, logic, and paradox ch. 7 -- Great ideas -- Section 3 : The light and the eye of the beholder ch. 8. The -- truth of mathematics ch. 9 -- Conclusion : is mathematics algorithmic or creative? -- Notes -- Bibliography -- Index.

Review: "To many outsiders, mathematicians appear to think like computers, grimly grinding away with a strict formal logic and moving methodically - even algorithmically - from one black-and-white deduction to another. Yet mathematicians often describe their most important breakthroughs as creative, intuitive responses to ambiguity, contradiction, and paradox. A unique examination of this less-familiar aspect of mathematics, How Mathematicians Think reveals that mathematics is a profoundly creative activity and not just a body of formalized rules and results."--Jacket

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Item type	Home library	Collection	Call number	Materials specified	Status	Date due	Barcode
Electronic-Books	OPJGU Sonepat- Campus	E-Books EBSCO			Available

Includes bibliographical references (pages 399-405) and index.

"To many outsiders, mathematicians appear to think like computers, grimly grinding away with a strict formal logic and moving methodically - even algorithmically - from one black-and-white deduction to another. Yet mathematicians often describe their most important breakthroughs as creative, intuitive responses to ambiguity, contradiction, and paradox. A unique examination of this less-familiar aspect of mathematics, How Mathematicians Think reveals that mathematics is a profoundly creative activity and not just a body of formalized rules and results."--Jacket