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From a Geometrical Point of View: A Study of the History and Philosophy of Category Theory - Jean-Pierre Marquis
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From a Geometrical Point of View: A Study of the History and Philosophy of Category Theory - nieuw boek

2001, ISBN: 9781402093838

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From a Geometrical Point of View / A Study of the History and Philosophy of Category Theory / Jean-Pierre Marquis / Buch / X / Englisch / 2009 / SPRINGER NATURE / EAN 9781402093838 - Marquis, Jean-Pierre
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Marquis, Jean-Pierre:

From a Geometrical Point of View / A Study of the History and Philosophy of Category Theory / Jean-Pierre Marquis / Buch / X / Englisch / 2009 / SPRINGER NATURE / EAN 9781402093838 - gebonden uitgave, pocketboek

2009, ISBN: 9781402093838

[ED: Gebunden], [PU: SPRINGER NATURE], From a Geometrical Point of View explores historical and philosophical aspects of category theory, trying therewith to expose its significance in th… Meer...

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From a Geometrical Point of View: A Study of the History and Philosophy of Category Theory Jean-Pierre Marquis Author
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From a Geometrical Point of View: A Study of the History and Philosophy of Category Theory Jean-Pierre Marquis Author - nieuw boek

ISBN: 9781402093838

From a Geometrical Point of View explores historical and philosophical aspects of category theory, trying therewith to expose its significance in the mathematical landscape. The main thes… Meer...

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From a Geometrical Point of View - Marquis, Jean-Pierre
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Marquis, Jean-Pierre:
From a Geometrical Point of View - gebonden uitgave, pocketboek

2009, ISBN: 9781402093838

[ED: Hardcover], [PU: Springer / Springer Netherlands], From a Geometrical Point of View explores historical and philosophical aspects of category theory, trying therewith to expose its s… Meer...

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From a Geometrical Point of View
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From a Geometrical Point of View - nieuw boek

ISBN: 9781402093838

From a Geometrical Point of View explores historical and philosophical aspects of category theory, trying therewith to expose its significance in the mathematical landscape. The main thes… Meer...

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From a Geometrical Point of View: A Study of the History and Philosophy of Category Theory Jean-Pierre Marquis Author

From a Geometrical Point of View explores historical and philosophical aspects of category theory, trying therewith to expose its significance in the mathematical landscape. The main thesis is that Klein's Erlangen program in geometry is in fact a particular instance of a general and broad phenomenon revealed by category theory. The volume starts with Eilenberg and Mac Lane's work in the early 1940's and follows the major developments of the theory from this perspective. Particular attention is paid to the philosophical elements involved in this development. The book ends with a presentation of categorical logic, some of its results and its significance in the foundations of mathematics. From a Geometrical Point of View aims to provide its readers with a conceptual perspective on category theory and categorical logic, in order to gain insight into their role and nature in contemporary mathematics. It should be of interest to mathematicians, logicians, philosophers of mathematics and science in general, historians of contemporary mathematics, physicists and computer scientists.

Gedetalleerde informatie over het boek. - From a Geometrical Point of View: A Study of the History and Philosophy of Category Theory Jean-Pierre Marquis Author


EAN (ISBN-13): 9781402093838
ISBN (ISBN-10): 1402093837
Gebonden uitgave
Verschijningsjaar: 2009
Uitgever: Springer Netherlands Core >2 >T
310 Bladzijden
Gewicht: 0,614 kg
Taal: Englisch

Boek bevindt zich in het datenbestand sinds 2008-02-07T10:31:44+01:00 (Amsterdam)
Detailpagina laatst gewijzigd op 2024-03-17T23:03:36+01:00 (Amsterdam)
ISBN/EAN: 1402093837

ISBN - alternatieve schrijfwijzen:
1-4020-9383-7, 978-1-4020-9383-8
alternatieve schrijfwijzen en verwante zoekwoorden:
Auteur van het boek: jean klein, marqui, marquis, jean four, eilenberg
Titel van het boek: point view, philosophy logic, history logic, history and theory, philosophy science, the philosophy philosophy, from point point, theory categories, from geometrical, what category theory, geometrica, history epistemology


Gegevens van de uitgever

Auteur: Jean-Pierre Marquis
Titel: Logic, Epistemology, and the Unity of Science; From a Geometrical Point of View - A Study of the History and Philosophy of Category Theory
Uitgeverij: Springer; Springer Netherland
310 Bladzijden
Verschijningsjaar: 2009-01-08
Dordrecht; NL
Gedrukt / Gemaakt in
Taal: Engels
219,99 € (DE)

BB; Hardcover, Softcover / Philosophie/Allgemeines, Lexika; Wissenschaftsphilosophie und -theorie; Verstehen; Algebra; Invariant; categorical logic; category theory; geometry; history of mathematics; mathematics; mathematics and foundations; philosophy of mathematics; science; Philosophy of Science; History of Mathematical Sciences; Category Theory, Homological Algebra; Mathematical Logic and Foundations; Algebraic Topology; Geschichte der Mathematik; Algebra; Mathematik: Logik; Mathematische Grundlagen; Algebraische Topologie; EA; BC

Category Theory and Klein’s Erlangen Program.- Introducing Categories, Functors and Natural Transformations.- Categories as Spaces, Functors as Transformations.- Discovering Fundamental Categorical Transformations: Adjoint Functors.- Adjoint Functors: What They are, What They Mean.- Invariants in Foundations: Algebraic Logic.- Invariants in Foundations: Geometric Logic.- Conclusion.

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