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How Mathematicians Think: Using Ambiguity, Contradiction, and Paradox to Create Mathematics - Couverture souple
Synopsis
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.
Nonlogical qualities, William Byers shows, play an essential role in mathematics. Ambiguities, contradictions, and paradoxes can arise when ideas developed in different contexts come into contact. Uncertainties and conflicts do not impede but rather spur the development of mathematics. Creativity often means bringing apparently incompatible perspectives together as complementary aspects of a new, more subtle theory. The secret of mathematics is not to be found only in its logical structure. The creative dimensions of mathematical work have great implications for our notions of mathematical and scientific truth, and How Mathematicians Think provides a novel approach to many fundamental questions. Is mathematics objectively true? Is it discovered or invented? And is there such a thing as a "final" scientific theory? Ultimately, How Mathematicians Think shows that the nature of mathematical thinking can teach us a great deal about the human condition itself.Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
À propos de l?auteur
William Byers is professor of mathematics at Concordia University in Montreal. He has published widely in mathematics journals.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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How Mathematicians Think ? Using Ambiguity, Contradiction, and Paradox to Create Mathematics
Edité par
Princeton University Press, 2010
ISBN 10 : 0691145997
ISBN 13 : 9780691145990
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How Mathematicians Think: Using Ambiguity, Contradiction, and Paradox to Create Mathematics
Edité par
Princeton University Press, 2010
ISBN 10 : 0691145997
ISBN 13 : 9780691145990
Ancien ou d'occasion
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How Mathematicians Think: Using Ambiguity, Contradiction, and Paradox to Create Mathematics
Edité par
Princeton University Press, 2010
ISBN 10 : 0691145997
ISBN 13 : 9780691145990
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How Mathematicians Think: Using Ambiguity, Contradiction, and Paradox to Create Mathematics
Edité par
Princeton University Press, 2010
ISBN 10 : 0691145997
ISBN 13 : 9780691145990
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Etat : New. 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. This book reveals that mathematics is a profoundly creative activity and not just a body of formalized rules and results. Num Pages: 424 pages, 6 halftones. 48 line illus. BIC Classification: PB. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 225 x 156 x 32. Weight in Grams: 618. . 2010. Sixth. Paperback. . . . . N° de réf. du vendeur V9780691145990
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How Mathematicians Think
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How Mathematicians Think
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Princeton University Press, US, 2010
ISBN 10 : 0691145997
ISBN 13 : 9780691145990
Neuf
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Paperback. Etat : New. 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. Nonlogical qualities, William Byers shows, play an essential role in mathematics. Ambiguities, contradictions, and paradoxes can arise when ideas developed in different contexts come into contact. Uncertainties and conflicts do not impede but rather spur the development of mathematics. Creativity often means bringing apparently incompatible perspectives together as complementary aspects of a new, more subtle theory. The secret of mathematics is not to be found only in its logical structure.The creative dimensions of mathematical work have great implications for our notions of mathematical and scientific truth, and How Mathematicians Think provides a novel approach to many fundamental questions. Is mathematics objectively true? Is it discovered or invented? And is there such a thing as a "final" scientific theory? Ultimately, How Mathematicians Think shows that the nature of mathematical thinking can teach us a great deal about the human condition itself. N° de réf. du vendeur LU-9780691145990
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How Mathematicians Think: Using Ambiguity, Contradiction, and Paradox to Create Mathematics
Edité par
Princeton University Press, 2010
ISBN 10 : 0691145997
ISBN 13 : 9780691145990
Neuf
Couverture souple
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How Mathematicians Think
Edité par
Princeton University Press, US, 2010
ISBN 10 : 0691145997
ISBN 13 : 9780691145990
Neuf
Paperback
Vendeur : Rarewaves USA United, OSWEGO, IL, Etats-Unis
Évaluation du vendeur 5 sur 5 étoiles
Paperback. Etat : New. 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. Nonlogical qualities, William Byers shows, play an essential role in mathematics. Ambiguities, contradictions, and paradoxes can arise when ideas developed in different contexts come into contact. Uncertainties and conflicts do not impede but rather spur the development of mathematics. Creativity often means bringing apparently incompatible perspectives together as complementary aspects of a new, more subtle theory. The secret of mathematics is not to be found only in its logical structure.The creative dimensions of mathematical work have great implications for our notions of mathematical and scientific truth, and How Mathematicians Think provides a novel approach to many fundamental questions. Is mathematics objectively true? Is it discovered or invented? And is there such a thing as a "final" scientific theory? Ultimately, How Mathematicians Think shows that the nature of mathematical thinking can teach us a great deal about the human condition itself. N° de réf. du vendeur LU-9780691145990
Quantité disponible : Plus de 20 disponibles
Image d'archives
How Mathematicians Think: Using Ambiguity, Contradiction, and Paradox to Create Mathematics
Edité par
Princeton University Press, 2010
ISBN 10 : 0691145997
ISBN 13 : 9780691145990
Neuf
Couverture souple
Vendeur : Kennys Bookstore, Olney, MD, Etats-Unis
Évaluation du vendeur 5 sur 5 étoiles
Etat : New. 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. This book reveals that mathematics is a profoundly creative activity and not just a body of formalized rules and results. Num Pages: 424 pages, 6 halftones. 48 line illus. BIC Classification: PB. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 225 x 156 x 32. Weight in Grams: 618. . 2010. Sixth. Paperback. . . . . Books ship from the US and Ireland. N° de réf. du vendeur V9780691145990
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