The Oxford Handbook of Generality in Mathematics and the Sciences

图书简介

This collection of original essays aims to inquire into the diversity of Generality. Through case studies taken from the history of mathematics, physics and the life sciences, the book provides evidence of different ways of understanding the general in various contexts.

1 Karine Chemla, Renaud Chorlay, David Rabouin: Prologue: Generality as a Component of an Epistemological Culture; Part I: The Meaning of Value of Generality; 2 Karine Chemla: The Value of Generality in Michel Chasles’s Historiography of Geometry; 3 Eberhard Knobloch: Generality in Leibniz’s Mathematics; 4 David Rabouin: The Problem of a General Theory in Mathematics: Aristotle and Euclid; 5 Igor Ly: Generality and Generalization in Poincare’s Philosophy; Part II: Statements and Concepts: The Formulation of the General; 6 Anne Robadey: Elaboration of a Statement on the Degree of Generality of a Property: Poincare’s Work on Recurrence Theorem; 7 Frederic Jaeck: Structures in Functional Analysis and Generality in Banach’s Ph.D. Dissertation; 8 Yves Cambefort: How General are Genera? The Genus in Systematic Zoology; 9 Stephane Schmitt: Homology: An Expression of Generality in the Life Sciences; 10 Tatiana Roque: Different Notions of Genericity in the Classification Problem of Dynamical Systems; Part III: Practices of Generality; 11 Emily Grosholz: Leibnizian Analysis, Canonical Objects, and Generlization; 12 Olivier Darrigol: Models, Structure and the Generality in Clerk Maxwell’s Theory of Electromagnetism; 13 Jean-Gael Barbara: Biological Generality: General Anatomy from Xavier Bichat to Louis Ranvier; 14 Renaud Chorlay: Questions of Generality as Probes into Nineteenth Century Analysis; 15 Evelyne Barbin: Universality versus Generality: An Interpretation of the Dispute over Tangents between Descartes and Fermat; 16 Frederic Brechenmacher: Algebraic Generality versus Arithmetic Generality in the Controversy between C. Jordan and L. Kronecker (1874); 17 Evelyn Fox Keller: Practices of Generalization in Mathematical Physics, in Biology, and in Evolution; 18 Jacqueline Boniface: Kummer’s Generalization of Arithmetical Properties as Applied to Certain Complex Numbers

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The Oxford Handbook of Generality in Mathematics and the Sciences 数学和科学一般性牛津手册 数学史

The Oxford Handbook of Generality in Mathematics and the Sciences

数学和科学一般性牛津手册
数学史