ISBN: 9789027709202
[ED: Buch], [PU: Springer Netherlands], Neuware - Geometry has fascinated philosophers since the days of Thales and Pythagoras. In the 17th and 18th centuries it provided a paradigm of kn… Meer...
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ISBN: 9789027709202
[ED: Buch], [PU: Springer Netherlands], Neuware - Geometry has fascinated philosophers since the days of Thales and Pythagoras. In the 17th and 18th centuries it provided a paradigm of kn… Meer...
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1978, ISBN: 9027709203
[EAN: 9789027709202], Neubuch, [PU: Springer, Netherlands], Language: English. Brand new Book. Geometry has fascinated philosophers since the days of Thales and Pythagoras. In the 17th an… Meer...
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1978, ISBN: 9027709203
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1978, ISBN: 9027709203
[EAN: 9789027709202], Neubuch, [PU: Springer], Clean and crisp and new!, Books
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ISBN: 9789027709202
[ED: Buch], [PU: Springer Netherlands], Neuware - Geometry has fascinated philosophers since the days of Thales and Pythagoras. In the 17th and 18th centuries it provided a paradigm of kn… Meer...
ISBN: 9789027709202
[ED: Buch], [PU: Springer Netherlands], Neuware - Geometry has fascinated philosophers since the days of Thales and Pythagoras. In the 17th and 18th centuries it provided a paradigm of kn… Meer...
1978
ISBN: 9027709203
[EAN: 9789027709202], Neubuch, [PU: Springer, Netherlands], Language: English. Brand new Book. Geometry has fascinated philosophers since the days of Thales and Pythagoras. In the 17th an… Meer...
1978, ISBN: 9027709203
1978 Gebundene Ausgabe Geschichte, Historie, Physik / Philosophie, Geschichte, Wissenschaftstheorie, Wissenschaftsphilosophie, Wissenschaftsphilosophie und -theorie, Physik, 19thCentury… Meer...
1978, ISBN: 9027709203
[EAN: 9789027709202], Neubuch, [PU: Springer], Clean and crisp and new!, Books
Bibliografische gegevens van het best passende boek
auteur: | |
Titel: | |
ISBN: |
Gedetalleerde informatie over het boek. - Philosophy of Geometry from Riemann to Poincaré
EAN (ISBN-13): 9789027709202
ISBN (ISBN-10): 9027709203
Gebonden uitgave
pocket book
Verschijningsjaar: 1978
Uitgever: Springer Netherlands
480 Bladzijden
Gewicht: 0,877 kg
Taal: eng/Englisch
Boek bevindt zich in het datenbestand sinds 2007-06-04T16:51:28+02:00 (Amsterdam)
Detailpagina laatst gewijzigd op 2023-09-04T16:41:10+02:00 (Amsterdam)
ISBN/EAN: 9789027709202
ISBN - alternatieve schrijfwijzen:
90-277-0920-3, 978-90-277-0920-2
alternatieve schrijfwijzen en verwante zoekwoorden:
Auteur van het boek: roberto, torretti, poincaré, hilbert, poincare
Titel van het boek: philosophy geometry from riemann poincare, poincaré, first philosophy
Gegevens van de uitgever
Auteur: R. Torretti
Titel: Episteme; Philosophy of Geometry from Riemann to Poincaré
Uitgeverij: Springer; Springer Netherland
461 Bladzijden
Verschijningsjaar: 1978-11-30
Dordrecht; NL
Gewicht: 1,870 kg
Taal: Engels
213,99 € (DE)
219,99 € (AT)
236,00 CHF (CH)
POD
XIII, 461 p.
BB; Philosophy of Science; Hardcover, Softcover / Philosophie/Allgemeines, Lexika; Wissenschaftsphilosophie und -theorie; Verstehen; 19th century; Albert Einstein; Ernst Waldfried Josef Wenzel Mach; Interpretation; science; History and Philosophical Foundations of Physics; History, general; Philosophy of Science; Philosophical Foundations of Physics and Astronomy; History; Physik; Geschichte; Geschichtsschreibung, Historiographie; BC; EA
1 / Background.- 1.0.1 Greek Geometry and Philosophy.- 1.0.2 Geometry in Greek Natural Science.- 1.0.3 Modern Science and the Metaphysical Idea of Space.- 1.0.4 Descartes’ Method of Coordinates.- 2 / Non-Euclidean Geometries.- 2.1 Parallels.- 2.1.1 Euclid’s Fifth Postulate.- 2.1.2 Greek Commentators.- 2.1.3 Wallis and Saccheri.- 2.1.4 Johann Heinrich Lambert.- 2.1.5 The Discovery of Non-Euclidean Geometry.- 2.1.6 Some Results of Bolyai-Lobachevsky Geometry.- 2.1.7 The Philosophical Outlook of the Founders of Non-Euclidean Geometry.- 2.2 Manifolds.- 2.2.1 Introduction.- 2.2.2 Curves and their Curvature.- 2.2.3 Gaussian Curvature of Surfaces.- 2.2.4 Gauss’ Theorema Egregium and the Intrinsic Geometry of Surfaces.- 2.2.5 Riemann’s Problem of Space and Geometry.- 2.2.6 The Concept of a Manifold.- 2.2.7 The Tangent Space.- 2.2.8 Riemannian Manifolds, Metrics and Curvature.- 2.2.9 Riemann’s Speculations about Physical Space.- 2.2.10 Riemann and Herbart. Grassmann.- 2.3 Projective Geometry and Projective Metrics.- 2.3.1 Introduction.- 2.3.2 Projective Geometry: An Intuitive Approach.- 2.3.3 Projective Geometry: A Numerical Interpretation.- 2.3.4 Projective Transformations.- 2.3.5 Cross-ratio.- 2.3.6 Projective Metrics.- 2.3.7 Models.- 2.3.8 Transformation Groups and Klein’s Erlangen Programme.- 2.3.9 Projective Coordinates for Intuitive Space.- 2.3.10 Klein’s View of Intuition and the Problem of Space-Forms.- 3 / Foundations.- 3.1 Helmholtz’s Problem of Space.- 3.1.1 Helmholtz and Riemann.- 3.1.2 The Facts which Lie at the Foundation of Geometry.- 3.1.3 Helmholtz’s Philosophy of Geometry.- 3.1.4 Lie Groups.- 3.1.5 Lie’s Solution of Helmholtz’s Problem.- 3.1.6 Poincaré and Killing on the Foundations of Geometry.- 3.1.7 Hilbert’s Group-Theoretical Characterization of the Euclidean Plane.- 3.2 Axiomatics.- 3.2.1 The Beginnings of Modern Geometrical Axiomatics.- 3.2.2 Why are Axiomatic Theories Naturally Abstract?.- 3.2.3 Stewart, Grassmann, Plücker.- 3.2.4 Geometrical Axiomatics before Pasch.- 3.2.5 Moritz Pasch.- 3.2.6 Giuseppe Peano.- 3.2.7 The Italian School. Pieri. Padoa.- 3.2.8 Hilbert’s Grundlagen.- 3.2.9 Geometrical Axiomatics after Hilbert.- 3.2.10 Axioms and Definitions. Frege’s Criticism of Hilbert.- 4 / Empiricism, Apriorism, Conventionalism.- 4.1 Empiricism in Geometry.- 4.1.1 John Stuart Mill.- 4.1.2 Friedrich Ueberweg.- 4.1.3 Benno Erdmann.- 4.1.4 Auguste Calinon.- 4.1.5 Ernst Mach.- 4.2 The Uproar of Boeotians.- 4.2.1 Hermann Lotze.- 4.2.2 Wilhelm Wundt.- 4.2.3 Charles Renouvier.- 4.2.4 Joseph Delboeuf.- 4.3 Russell’s Apriorism of 1897.- 4.3.1 The Transcendental Approach.- 4.3.2 The ‘Axioms of Projective Geometry’.- 4.3.3 Metrics and Quantity.- 4.3.4 The Axiom of Distance.- 4.3.5 The Axiom of Free Mobility.- 4.3.6 A Geometrical Experiment.- 4.3.7 Multidimensional Series.- 4.4 Henri Poincaré.- 4.4.1 Poincaré’s Conventionalism.- 4.4.2 Max Black’s Interpretation of Poincaré’s Philosophy of Geometry.- 4.4.3 Poincaré’s Criticism of Apriorism and Empiricism.- 4.4.4 The Conventionality of Metrics.- 4.4.5 The Genesis of Geometry.- 4.5.6 The Definition of Dimension Number.- 1. Mappings.- 2. Algebraic Structures. Groups.- 3. Topologies.- 4. Differentiable Manifolds.- Notes.- To Chapter 1.- To Chapter 2.- 2.1.- 2.2.- 2.3.- To Chapter 3.- 3.1.- 3.2.- To Chapter 4.- 4.1.- 4.2.- 4.3.- 4.4.- References.Andere boeken die eventueel grote overeenkomsten met dit boek kunnen hebben:
Laatste soortgelijke boek:
9789400999091 Philosophy of Geometry from Riemann to Poincare (R. Torretti)
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