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2012, ISBN: 9781461300878
Descartes' Transformation of the Early Modern Concept of Construction, eBooks, eBook Download (PDF), In his "e;Geometrie"e; of 1637 Descartes achieved a monumental innovat… Mehr…
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Redefining Geometrical Exactness : Descartes' Transformation of the Early Modern Concept of Construction - neues BuchISBN: 9781461300878
In his "Geometrie" of 1637 Descartes achieved a monumental innovation of mathematical techniques by introducing what is now called analytic geometry.Yet the key question of the book was f… Mehr…
ISBN: 9781461300878
In his "Géométrie" of 1637 Descartes achieved a monumental innovation of mathematical techniques by introducing what is now called analytic geometry. Yet the key question of the book was … Mehr…
ISBN: 9781461300878
Redefining Geometrical Exactness - Descartes' Transformation of the Early Modern Concept of Construction: ab 117.49 € eBooks > Fachthemen & Wissenschaft > Mathematik Springer New York eBo… Mehr…
Redefining Geometrical Exactness : Descartes' Transformation of the Early Modern Concept of Construction - neues Buch
ISBN: 9781461300878
; PDF; Scientific, Technical and Medical > Mathematics > Geometry, Springer US
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Detailangaben zum Buch - Redefining Geometrical Exactness
EAN (ISBN-13): 9781461300878
Erscheinungsjahr: 2012
Herausgeber: Springer New York
Buch in der Datenbank seit 2017-05-23T02:22:18+02:00 (Berlin)
Detailseite zuletzt geändert am 2023-09-15T02:02:45+02:00 (Berlin)
ISBN/EAN: 9781461300878
ISBN - alternative Schreibweisen:
978-1-4613-0087-8
Alternative Schreibweisen und verwandte Suchbegriffe:
Titel des Buches: descartes, redefining geometrical exactness
Daten vom Verlag:
Autor/in: Henk J.M. Bos
Titel: Sources and Studies in the History of Mathematics and Physical Sciences; Redefining Geometrical Exactness - Descartes’ Transformation of the Early Modern Concept of Construction
Verlag: Springer; Springer US
472 Seiten
Erscheinungsjahr: 2012-12-06
New York; NY; US
Sprache: Englisch
128,39 € (DE)
132,00 € (AT)
153,50 CHF (CH)
Available
XIX, 472 p.
EA; E107; eBook; Nonbooks, PBS / Mathematik/Geometrie; Geometrie; Verstehen; Canon; Discard; Mathematica; analytic geometry; arithmetic; construction; development; equation; field; form; innovation; object; techniques; time; uncertainty; C; Geometry; Mathematics and Statistics; BC
1 General introduction.- 2 The legitimation of geometrical procedures before 1590.- 3 1588: Pappus’ “Collection”.- 4 The early modern tradition of geometrical problem solving; survey and examples.- 5 Early modern methods of analysis.- 6 Arithmetic, geometry, algebra, and analysis.- 8 Using algebra — Viète’s analysis.- 9 Clavius.- 10 Viète.- 11 Kepler.- 12 Molther.- 13 Fermat.- 14 Geometrical problem solving —the state of the art c. 1635.- 15 Introduction to Part II.- 16 Construction and the interpretation of exactness in Descartes’ studies of c. 1619.- 17 Descartes’ general construction of solid problems c. 1625.- 18 Problem solving and construction in the “Rules for the direction of the mind” (c. 1628).- 19 Descartes’ first studies of Pappus’ problem (early 1632).- 20 The Geometry, introduction and survey.- 21 Algebraic operations in geometry.- 22 The use of algebra in solving plane and indeterminate problems.- 23 Descartes’ solution of Pappus’ problem.- 24 Curves and the demarcationof geometry in the Geometry.- 25 Simplicity and the classification of curves.- 26 The canon of geometrical construction.- 27 The theory of equations in the Geometry.- 28 Conclusion of Part II.- 29 Epilogue.- List of problems.- Name Index.Until the 17th century, rigor and exactness in mathematics meant geometry and Euclid. Other means of confirming results, such as computation, were considered inferior to the traditional constructions using ruler and compass. In 1637 Descartes introduced what is now called analytical geometry, which made algebraic methods equal to geometry in the methods of mathematics. In this detailed study, Bos explores the origins of what is meant by "rigor" in mathematics, and how that definition evolved to include the use of new geometric and algebraic methods.
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