Conflicts Between Generalization, Rigor, and Intuition

Conflicts Between Generalization, Rigor, and Intuition PDF Author: Gert Schubring
Publisher: Springer Science & Business Media
ISBN: 0387282734
Category : Mathematics
Languages : en
Pages : 689

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Book Description
This volume is, as may be readily apparent, the fruit of many years’ labor in archives and libraries, unearthing rare books, researching Nachlässe, and above all, systematic comparative analysis of fecund sources. The work not only demanded much time in preparation, but was also interrupted by other duties, such as time spent as a guest professor at universities abroad, which of course provided welcome opportunities to present and discuss the work, and in particular, the organizing of the 1994 International Graßmann Conference and the subsequent editing of its proceedings. If it is not possible to be precise about the amount of time spent on this work, it is possible to be precise about the date of its inception. In 1984, during research in the archive of the École polytechnique, my attention was drawn to the way in which the massive rupture that took place in 1811—precipitating the change back to the synthetic method and replacing the limit method by the method of the quantités infiniment petites—significantly altered the teaching of analysis at this first modern institution of higher education, an institution originally founded as a citadel of the analytic method.

Conflicts Between Generalization, Rigor, and Intuition

Conflicts Between Generalization, Rigor, and Intuition PDF Author: Gert Schubring
Publisher: Springer Science & Business Media
ISBN: 0387282734
Category : Mathematics
Languages : en
Pages : 689

Get Book Here

Book Description
This volume is, as may be readily apparent, the fruit of many years’ labor in archives and libraries, unearthing rare books, researching Nachlässe, and above all, systematic comparative analysis of fecund sources. The work not only demanded much time in preparation, but was also interrupted by other duties, such as time spent as a guest professor at universities abroad, which of course provided welcome opportunities to present and discuss the work, and in particular, the organizing of the 1994 International Graßmann Conference and the subsequent editing of its proceedings. If it is not possible to be precise about the amount of time spent on this work, it is possible to be precise about the date of its inception. In 1984, during research in the archive of the École polytechnique, my attention was drawn to the way in which the massive rupture that took place in 1811—precipitating the change back to the synthetic method and replacing the limit method by the method of the quantités infiniment petites—significantly altered the teaching of analysis at this first modern institution of higher education, an institution originally founded as a citadel of the analytic method.

Traité de géometrie descriptive

Traité de géometrie descriptive PDF Author: Jules de La Gournerie
Publisher:
ISBN:
Category : Geometry, Descriptive
Languages : en
Pages : 60

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Elementary Illustrations of the Differential and Integral Calculus

Elementary Illustrations of the Differential and Integral Calculus PDF Author: Augustus De Morgan
Publisher:
ISBN:
Category : Calculus
Languages : en
Pages : 168

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The Encyclopaedia Britannica

The Encyclopaedia Britannica PDF Author:
Publisher:
ISBN:
Category : Encyclopedias and dictionaries
Languages : en
Pages : 938

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The Encyclopædia Britannica

The Encyclopædia Britannica PDF Author:
Publisher:
ISBN:
Category : Encyclopedias and dictionaries
Languages : en
Pages : 950

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The Encyclopaedia Britannica

The Encyclopaedia Britannica PDF Author: Thomas Spencer Baynes
Publisher:
ISBN:
Category : Encyclopedias and dictionaries
Languages : en
Pages : 898

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The Encyclopedia Britannica

The Encyclopedia Britannica PDF Author: Thomas Spencer Baynes
Publisher:
ISBN:
Category : Encyclopedias and dictionaries
Languages : en
Pages : 898

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Hidden Harmony—Geometric Fantasies

Hidden Harmony—Geometric Fantasies PDF Author: Umberto Bottazzini
Publisher: Springer Science & Business Media
ISBN: 1461457254
Category : Mathematics
Languages : en
Pages : 860

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Book Description
​This book is a history of complex function theory from its origins to 1914, when the essential features of the modern theory were in place. It is the first history of mathematics devoted to complex function theory, and it draws on a wide range of published and unpublished sources. In addition to an extensive and detailed coverage of the three founders of the subject – Cauchy, Riemann, and Weierstrass – it looks at the contributions of authors from d’Alembert to Hilbert, and Laplace to Weyl. Particular chapters examine the rise and importance of elliptic function theory, differential equations in the complex domain, geometric function theory, and the early years of complex function theory in several variables. Unique emphasis has been devoted to the creation of a textbook tradition in complex analysis by considering some seventy textbooks in nine different languages. The book is not a mere sequence of disembodied results and theories, but offers a comprehensive picture of the broad cultural and social context in which the main actors lived and worked by paying attention to the rise of mathematical schools and of contrasting national traditions. The book is unrivaled for its breadth and depth, both in the core theory and its implications for other fields of mathematics. It documents the motivations for the early ideas and their gradual refinement into a rigorous theory.​

The Encyclopædia Britannica: A-ZYM

The Encyclopædia Britannica: A-ZYM PDF Author: Day Otis Kellogg
Publisher:
ISBN:
Category : Encyclopedias and dictionaries
Languages : en
Pages : 912

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Encyclopaedia Britannica

Encyclopaedia Britannica PDF Author:
Publisher:
ISBN:
Category : Encyclopedias and dictionaries
Languages : en
Pages : 956

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