Ferraro, Giovanni (Author)
Panza, Marco (Author)
We reconstruct essential features of Lagrange's theory of analytical functions by exhibiting its structure and basic assumptions, as well as its main shortcomings. We explain Lagrange's notions of function and algebraic quantity, and we concentrate on power-series expansions, on the algorithm for derivative functions, and the remainder theorem---especially on the role this theorem has in solving geometric and mechanical problems. We thus aim to provide a better understanding of Enlightenment mathematics and to show that the foundations of mathematics did not, for Lagrange, concern the solidity of its ultimate bases, but rather purity of method---the generality and internal organization of the discipline.
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Book
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Duncan F. Gregory and Robert Leslie Ellis: Second-Generation Reformers of British Mathematics
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Why Did Lagrange “Prove” the Parallel Postulate?
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Chapter
Pulte, Helmut;
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Jan Halák;
(2022)
Mathematics embodied: Merleau-Ponty on geometry and algebra as fields of motor enaction
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Thesis
Welsh, Whitney Elizabeth;
(2011)
Unthinkable: Mathematics and the Rise of the West
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(2011)
From Cardano's Great Art to Lagrange's Reflections: Filing a Gap in the History of Algebra
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Article
Echelbarger, Charles;
(2013)
Hume on the Objects of Mathematics
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Book
Grabiner, Judith V.;
(2010)
A Historian Looks Back: The Calculus as Algebra and Selected Writings
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Article
N H Bingham;
W J Krzanowski;
(2022)
Linear algebra and multivariate analysis in statistics: development and interconnections in the twentieth century
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Article
Sutherland, Daniel;
(2005)
Kant on Fundamental Geometrical Relations
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Article
Nastasi, Tina;
(2008)
La storia del pensiero scientifico e il suo significato nell'opera di Federigo Enriques
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Article
Lambert, Kevin;
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A Natural History of Mathematics: George Peacock and the Making of English Algebra
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Article
Catherine Goldstein;
(2016)
«Découvrir des principes en classant» : la classification des formes quadratiques selon Charles Hermite
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Article
Domski, Mary;
(2013)
Kant and Newton on the a priori Necessity of Geometry
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Article
De Pierris, Graciela;
(2012)
Hume on Space, Geometry, and Diagrammatic Reasoning
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Article
Engelhard, Kristina;
Mittelstaedt, Peter;
(2008)
Kant's Theory of Arithmetic: A Constructive Approach?
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Article
Glas, Eduard;
(2000)
Model-based reasoning and mathematical discovery: The Case of Felix Klein
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