Excellent paperback textbook. Clean, solid with unmarked text. Cover has mild surface and edge wear. Binding is tight and square; no creases to spine or cover. We are unable to ship oversize books and multi-volume sets internationally.

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Dati bibliografici

Titolo

How Mathematicians Think: Using Ambiguity, Contradiction, and Paradox to Create Mathematics

Editore

Princeton University Press

Data di pubblicazione

2010

Lingua

Inglese

ISBN 10

0691145997

ISBN 13

9780691145990

Rilegatura

Paperback

Condizione

Near Fine

Condizione della sovraccoperta

None as issued

Peso

22 once

Cataloghi dei venditori

Textbooks:Mathematics

Descrizione articolo

Riassunto

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.

Informazioni sull?autore

William Byers is professor of mathematics at Concordia University in Montreal. He has published widely in mathematics journals.

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