عنوان

Redefining geometrical exactness :

(Number (ISBN

1461300878

(Number (ISBN

9781461300878

Number

b539993

Title Proper

Redefining geometrical exactness :

General Material Designation

[Book]

Other Title Information

descartes' transformation of the early modern concept of ...

First Statement of Responsibility

Henk J M Bos

Place of Publication, Distribution, etc.

[Place of publication not identified]

Name of Publisher, Distributor, etc.

Springer

Date of Publication, Distribution, etc.

2013

Text of Note

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 - Viete's analysis.- 9 Clavius.- 10 Viete.- 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 demarcation of 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.

Class number

Book number

Henk J M Bos

Henk J M Bos

Electronic name

[Book]

Y