How Mathematicians Think pdf epub mobi txt 电子书 下载 2024


How Mathematicians Think

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William Byers
Princeton University Press
2007-5-27
424
USD 45.00
Hardcover
9780691127385

图书标签: 数学  思维  Mathematics  mathematics  OrigVer   


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发表于2024-12-23

How Mathematicians Think epub 下载 mobi 下载 pdf 下载 txt 电子书 下载 2024

How Mathematicians Think epub 下载 mobi 下载 pdf 下载 txt 电子书 下载 2024

How Mathematicians Think pdf epub mobi txt 电子书 下载 2024



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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

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