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The Oxford handbook of generality in mathematics and the sciences
Údaje o názvu The Oxford handbook of generality in mathematics and the sciences / edited by Karine Chemla, Renaud Chorlay and David Rabouin Nakladatel Oxford : Oxford University Press, 2017 Fyz.popis 1 online zdroj (xii, 507 stran) : ilustrace (některé barevně) ISBN 9780191859243 (online) Edice Oxford handbooks online Poznámka Previously issued in print: 2016. Poznámky o skryté bibliografii a rejstřících Obsahuje bibliografické odkazy a rejstřík Úplný obsah Prologue: generality as a component of an epistemological culture / Karine Chemla, Renaud Chorlay, David Rabouin -- The role of genericity in the history of dynamical systems theory / Tatiana Roque -- Leibnizian analysis, canonical objects, and generalization / Emily Grosholz -- Models, structure, and generality in Clerk Maxwell's theory of electromagnetism / Olivier Darrigol -- Biological generality: general anatomy from Xavier Bichat to Louis Ranvier / Jean- Ga?l Barbara -- Questions of generality as probes into nineteenth- century mathematical analysis / Renaud Chorlay -- Universality versus generality: an interpretation of the dispute over tangents between Descartes and Fermat / Evelyne Barbin -- Algebraic generality versus arithmetic generality in the 1874 controversy between C. Jordan and L. Kronecker / Fr?d?ric Brechenmacher -- Practices of generalization in mathematical physics, in biology, and in evolutionary strategies / Evelyn Fox Keller -- A process of generalization: Kummer's creation of ideal numbers / Jacqueline Boniface -- The value of generality in Michel Chasles's historiography of geometry / Karine Chemla -- Generality in Leibniz's mathematics / Eberhard Knobloch -- The problem of a (3z (Bgeneral (3y (B theory in mathematics: Aristotle and Euclid / David Rabouin -- Generality, generalization, and induction in Poincar?'s philosophy / Igor Ly -- Elaboration of a statement on the degree of generality of a property: Poincar?'s work on the recurrence theorem / Anne Robadey -- Generality and structures in functional analysis: the influence of Stefan Banach / Fr?d?ric Ja?ck -- How general are genera? The genus in systematic zoology / Yves Cambefort -- Homology: an expression of generality in the life sciences / St?phane Schmitt. Poznámky k dostupnosti Přístup pouze pro oprávněné uživatele Určeno pro Specialized. Poznámky Způsob přístupu: World Wide Web Dal.odpovědnost Chemla, Karine, 1957- (editor) Chorlay, Renaud (editor) Rabouin, David (editor) Předmět.hesla matematika mathematics * filozofické aspekty philosophical aspects Forma, žánr elektronické knihy electronic books Konspekt 51 - Matematika MDT 101 , 51 , (0.034.2:08) Země vyd. Anglie Jazyk dok. angličtina Druh dok. Elektronické knihy 
kniha
This handbook examines how actors have valued generality in mathematics and the sciences and how they worked with specific types of 'general' entities, procedures, and arguments. Part I deals with the meaning and value of generality, and more specifically the value of generality in Michel Chasles's historiography of geometry and generality in Gottfried Leibniz's mathematics. Part II focuses on statements and concepts that make up the general, covering topics such as Henri Poincar?'s work on the recurrence theorem and the role of genericity in the history of dynamical systems theory. Part III explores the practices of generality, including the dispute over tangents between Ren? Descartes and Pierre de Fermat, generality in James Clerk Maxwell's theory of electromagnetism, and practices of generalization in mathematical physics, biology, and evolutionary strategies.
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