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Geometry and the Imagination is the English translation of the 1932 book Anschauliche Geometrie by David Hilbert and Stefan Cohn-Vossen. The book was based on a series of lectures Hilbert made in the winter of 1920–21. The book is an attempt to present some then-current mathematical thought to "contribute to a more just appreciation of mathematics by a wider range of people than just the specialists." It differentiates between two tendencies in mathematics and any other scientific research: on the one hand, toward abstraction and logical relations, correlating the subject matter in a systematic and orderly manner, and on the other hand an intuitive approach, which moves toward a more immediate grasp of and a "live rapport" with the same material. Further he asserts that intuitive understan

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dbo:abstract
  • Geometry and the Imagination is the English translation of the 1932 book Anschauliche Geometrie by David Hilbert and Stefan Cohn-Vossen. The book was based on a series of lectures Hilbert made in the winter of 1920–21. The book is an attempt to present some then-current mathematical thought to "contribute to a more just appreciation of mathematics by a wider range of people than just the specialists." It differentiates between two tendencies in mathematics and any other scientific research: on the one hand, toward abstraction and logical relations, correlating the subject matter in a systematic and orderly manner, and on the other hand an intuitive approach, which moves toward a more immediate grasp of and a "live rapport" with the same material. Further he asserts that intuitive understanding actually plays a major role for the researcher as well as anyone who wishes to study and appreciate Geometry. (en)
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  • 9780821819982
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  • 357 (xsd:positiveInteger)
dbo:oclc
  • 542459
dbo:publisher
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dbo:translator
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  • 55419796 (xsd:integer)
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  • 4211 (xsd:nonNegativeInteger)
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  • 1062161219 (xsd:integer)
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dbp:isbn
  • 9780821819982 (xsd:decimal)
dbp:name
  • Geometry and the Imagination (en)
dbp:oclc
  • 542459 (xsd:integer)
dbp:pages
  • 357 (xsd:integer)
dbp:pubDate
  • 1952 (xsd:integer)
dbp:publisher
  • Chelsea Publishing (en)
dbp:titleOrig
  • Anschauliche Geometrie (en)
dbp:translator
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dc:publisher
  • Chelsea Publishing(American Mathematical Society)
dcterms:subject
rdf:type
rdfs:comment
  • Geometry and the Imagination is the English translation of the 1932 book Anschauliche Geometrie by David Hilbert and Stefan Cohn-Vossen. The book was based on a series of lectures Hilbert made in the winter of 1920–21. The book is an attempt to present some then-current mathematical thought to "contribute to a more just appreciation of mathematics by a wider range of people than just the specialists." It differentiates between two tendencies in mathematics and any other scientific research: on the one hand, toward abstraction and logical relations, correlating the subject matter in a systematic and orderly manner, and on the other hand an intuitive approach, which moves toward a more immediate grasp of and a "live rapport" with the same material. Further he asserts that intuitive understan (en)
rdfs:label
  • Geometry and the Imagination (en)
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  • Anschauliche Geometrie (en)
  • Geometry and the Imagination (en)
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