How Mathematicians Think : Using Ambiguity, Contradiction, and Paradox to Create Mathematics
Byers, William
ISBN 10: 0691127387 ISBN 13: 9780691127385
Editore: Princeton University Press, 2007
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Descrizione:
Former library book; may include library markings. Used book that is in excellent condition. May show signs of wear or have minor defects. Codice articolo 9849640-6
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, andHow 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.
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Titolo: How Mathematicians Think : Using Ambiguity, ...
Casa editrice: Princeton University Press
Data di pubblicazione: 2007
Legatura: Rilegato
Condizione: Very Good
Edizione: 1st Edition.
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How Mathematicians Think: Using Ambiguity, Contradiction, and Paradox to Create Mathematics
Editore:
Princeton University Press May 2007, 2007
ISBN 10: 0691127387
ISBN 13: 9780691127385
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Da: Burke's Book Store, Memphis, TN, U.S.A.
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Hardcover. Condizione: Very Good. First Edition. Minor browning to pages, tight and clean. DJ shows minor rubbing. Codice articolo 1024710
Quantità: 1 disponibili
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How Mathematicians Think : Using Ambiguity, Contradiction, and Paradox to Create Mathematics
Editore:
Princeton University Press, 2007
ISBN 10: 0691127387
ISBN 13: 9780691127385
Antico o usato
Rilegato
Prima edizione
Da: Better World Books, Mishawaka, IN, U.S.A.
Valutazione del venditore 5 su 5 stelle
Condizione: Good. 1st Edition. Former library book; may include library markings. Used book that is in clean, average condition without any missing pages. Codice articolo 5780777-6
Quantità: 2 disponibili
Foto dell'editore
How Mathematicians Think : Using Ambiguity, Contradiction, and Paradox to Create Mathematics
Editore:
Princeton University Press, 2007
ISBN 10: 0691127387
ISBN 13: 9780691127385
Antico o usato
Rilegato
Prima edizione
Da: Better World Books: West, Reno, NV, U.S.A.
Valutazione del venditore 5 su 5 stelle
Condizione: Good. 1st Edition. Former library book; may include library markings. Used book that is in clean, average condition without any missing pages. Codice articolo 5780777-6
Quantità: 1 disponibili
Foto dell'editore
How Mathematicians Think: Using Ambiguity, Contradiction, and Paradox to Create Mathematics
Editore:
Princeton University Press, U.S.A., 2007
ISBN 10: 0691127387
ISBN 13: 9780691127385
Antico o usato
Rilegato
Prima edizione
Da: 20th Century Lost & Found, La Grande, OR, U.S.A.
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Hardcover. Condizione: Fine. Condizione sovraccoperta: Fine. 1st Edition. This is an important book, one that should cause an epoch-making change in the way we think about mathematics. While mathematics is often presented as an immutable, absolute science in which theorems can be proved for all time in a platonic sense, here we see the creative, human aspect of mathematics and its paradoxes and conflicts. This has all the hallmarks of a must-read book."--David Tall, coauthor of Algebraic Number Theory and Fermat's Last Theorem. Codice articolo 020185
Quantità: 1 disponibili
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How Mathematicians Think: Using Ambiguity, Contradiction, and Paradox to Create Mathematics
Editore:
Princeton University Press, Princeton and Oxford, 2007
ISBN 10: 0691127387
ISBN 13: 9780691127385
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Da: Theoria Books, Andover, MA, U.S.A.
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Hardcover. Condizione: New. Condizione sovraccoperta: New. 1st Edition. 415 pp., vii. '1' in number line. Contents in three SECTIONS and nine chapters, following Introduction, "Turning on the Light": I: THE LIGHT OF AMBIGUITY 1. "Ambiguity in Mathematics"; 2. "The Contradictory in Mathematics"; 3. "Paradoxes and Mathematics: Infinity and the Real Numbers"; 4. "More Paradoxes of Infinity: Geometry, Cardinality and Beyond"; II. THE LIGHT AS IDEA 5. "The Idea as an Organizing Principle"; 6. "Ideas, Logic and Paradoxes"; 7. "Great Ideas"; III. THE LIGHT AND THE EYE OF THE BEHOLDER 8. "The Truth of Mathematics"; 9. "Conclusion: Is Mathematics Algorithmic or Creative?"; Notes, pp. 389-397; Bibliography, pp. 399-405; Index, pp. 407-415. Black cloth with brilliant gilt lettering on spine. Dustwrapper not price-clipped ($35.00), illustrated with green chalice-shape on most of front cover, with title lettering in black, edged in yellow, across middle front cover, above subtitle in smaller white letters, all superimposed upon chalice, on lower half front over; author name lettering in thin, smaller maroon letters across top front cover. (NO previous owner names; NO remainder marks.) Absolutely FLAWLESS artifact and dustwrapper. Gift-Giving Quality. Laid in news clipping (NO offsetting): 6 Letters to the Editor of the New York Times, 7 31 2012, prompted by Andrew Hacker's Sunday Review piece, "Is Algebra Necessary?". Codice articolo 002284
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