£92.65

Springer - Descartes' Transformation of Early Modern Construction

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Description

Explore a deep historical analysis of mathematical rigor in this scholarly work from Springer. Before the 17th century, mathematical exactness was tied strictly to Euclidean geometry and ruler and compass constructions. Computation was often viewed as a secondary method compared to these traditional geometric proofs. This study examines the massive shift that occurred in 1637 when Descartes introduced analytical geometry. This breakthrough placed algebraic methods on the same level as geometry, changing how mathematicians approached problem-solving. Bos provides a detailed investigation into the origins of mathematical rigor and how the definition of exactness evolved to incorporate these new geometric and algebraic techniques. Perfect for students, historians, and mathematicians, this book offers a clear look at the evolution of mathematical thought. It traces how the introduction of new methods redefined the standards of proof and construction in the early modern era, providing essential context for the history of mathematics and physical sciences.

Key Features

Examines the historical shift from Euclidean geometry to analytical geometry introduced by Descartes in 1637.

Provides a detailed study of how the definition of mathematical rigor evolved over time.

Explores the relationship between algebraic methods and traditional geometric constructions.

Part of the Sources and Studies in the History of Mathematics and Physical Sciences series.

Analyzes how computation and new geometric methods changed the standards of mathematical exactness.

Product Specifications

Format
paperback
Domain
Amazon UK
Publication Date
21 October 2012
Listed Since
20 September 2013

Barcode

No barcode data available

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