Gert Schubring
eBook, PDF

Conflicts Between Generalization, Rigor, and Intuition (eBook, PDF)

Number Concepts Underlying the Development of Analysis in 17th-19th Century France and Germany

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Conflicts Between Generalization, Rigor, and Intuition undertakes a historical analysis of the development of two mathematical concepts -negative numbers and infinitely small quantities, mainly in France and Germany, but also in Britain, and the different paths taken there.This book not only discusses the history of the two concepts, but it also introduces a wealth of new knowledge and insights regarding their interrelation as necessary foundations for the emergence of the 19th century concept of analysis. The historical investigation unravels several processes underlying and motivating concep...

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