David Hilbert and the Axiomatization of Physics (1898?1918): From Grundlagen der Geometrie to Grundlagen der Physik: 10 (Archimedes, 10) - pocketboek

EAN (ISBN-13): 9789048167197
ISBN (ISBN-10): 9048167191
Gebonden uitgave
pocket book
Verschijningsjaar: 2010
Uitgever: Springer
532 Bladzijden
Gewicht: 0,795 kg
Taal: eng/Englisch

Boek bevindt zich in het datenbestand sinds 2010-10-01T11:38:27+02:00 (Amsterdam)
Detailpagina laatst gewijzigd op 2023-09-11T21:05:41+02:00 (Amsterdam)
ISBN/EAN: 9789048167197

ISBN - alternatieve schrijfwijzen:
90-481-6719-1, 978-90-481-6719-7
alternatieve schrijfwijzen en verwante zoekwoorden:
Auteur van het boek: david hilbert, einstein, leo corry
Titel van het boek: grundlagen physik, der der physik, grundlagen der geometrie, 1898 1918, david hilbert and the axiomatization physics, physik band

---

Gegevens van de uitgever

Auteur: L. Corry
Titel: Archimedes; David Hilbert and the Axiomatization of Physics (1898–1918) - From Grundlagen der Geometrie to Grundlagen der Physik
Uitgeverij: Springer; Springer Netherland
513 Bladzijden
Verschijningsjaar: 2010-12-06
Dordrecht; NL
Gedrukt / Gemaakt in
Gewicht: 0,807 kg
Taal: Engels
307,99 € (DE)

BC; History and Philosophical Foundations of Physics; Hardcover, Softcover / Physik, Astronomie/Allgemeines, Lexika; Wissenschaftsphilosophie und -theorie; Verstehen; Albert Einstein; Ludwig Boltzmann; axiomatization; electrodynamics; probability; science; History of Mathematical Sciences; Mathematical Methods in Physics; Philosophy of Science; Philosophical Foundations of Physics and Astronomy; History of Mathematical Sciences; Mathematical Methods in Physics; Philosophy of Science; Physik; Geschichte der Mathematik; Mathematische Physik; BB

Preface. Acknowledgements and Credits. Introduction. 1: Late Nineteenth Century Background. 1.1. Hilbert’s Early Career. 1.1.1 Algebraic Invariants. 1.1.2 Algebraic Number Fields. 1.1.3 Deep Roots in Tradition. 1.2. Foundations of Geometry. 1.2.1 Riemann. 1.2.2 Projective Geometry. 1.2.3 Nineteenth-Century Axiomatics. 1.2.4 Pasch and the Italian School. 1.3. Foundations of Physics. 1.3.1 Kinetic Theory, Mechanistic Foundations. 1.3.2 Carl Neumann. 1.3.3 Heinrich Hertz. 1.3.4 Paul Volkmann. 1.3.5 Ludwig Boltzmann. 1.3.6 Aurel Voss. 1.4. Mathematics and Physics in Göttingen at the Turn of the Century. 1.4.1 Felix Klein. 1.4.2 The Physicists. 2: Axiomatization in Hilbert’s Early Career. 2.1. Axiomatics, Geometry and Physics in Hilbert’s Early Lectures. 2.1.1 Geometry in Königsberg. 2.1.2 Geometry in Göttingen. 2.1.3 Mechanics in Göttingen. 2.2. Grundlagen der Geometrie. 2.2.1 Independence, Simplicity, Completeness. 2.2.2 Fundamental Theorems of Projective Geometry. 2.2.3 On the Concept of Number. 2.3. The 1900 List of Problems. 2.3.1 Foundational Problems. 2.3.2 A Context for the Sixth Problem. 2.4. Early Reactions to the Grundlagen. 3: The Axiomatic Method in Action: 1900-1905. 3.1. Foundational Concerns – Empiricist Standpoint. 3.2. Hilbert and Physics in Göttingen circa 1905. 3.3. Axioms for Physical Theories: Hilbert’s 1905 Lectures. 3.3.1 Mechanics. 3.3.2 Thermodynamics. 3.3.3 Probability Calculus. 3.3.4 Kinetic Theory of Gases. 3.3.5 Insurance Mathematics. 3.3.6 Electrodynamics. 3.3.7 Psychophysics. 3.3.8 A post-1909 addendum. 3.4. The Axiomatization Program by 1905 – Partial Summary. 4: Minkowski and Relativity: 1907-1909. 4.1. The Principle of Relativity. 4.2. The Basic Equations of Electromagnetic Processes in Moving Bodies. 4.2.1 Three Meanings of 'Relativity'. 4.2.2 Axioms of Electrodynamics. 4.2.3 Relativity and Mechanics. 4.2.4 Relativity and Gravitation. 4.3. Space and Time. 4.3.1 Groups of Transformations. 4.3.2 EmpiricalConsiderations. 4.3.3 Relativity and Existing Physical Theories. 4.4. Max Born, Relativity, and the Theories of the Electron. 4.4.1 Rigid Bodies. 4.5. Minkowski, Axiomatics and Relativity – Summary. 5: Mechanical to Electromagnetic Reductionism: 1910-1914. 5.1. Lectures on Mechanics and Continuum Mechanics. 5.2. Kinetic Theory. 5.3. Radiation Theory. 5.3.1 Hilbert and Kirchhoff’s Law: 1912. 5.3.2 Reactions and Sequels: Early 1913. 5.3.3 Pringsheim’s Criticism: 1913. 5.3.4 Hilbert’s Final Version: 1914. 5.3.5 Kinetic and Radiation Theory: General Remarks. 5.4. Structure of Matter and Relativity: 1912-1914. 5.4.1 Molecular Theory of Matter - 1912-13. 5.4.2 Electron Theory: 1913. 5.4.3 Axiomatization of Physics: 1913. 5.4.4 Electromagnetic Oscillations: 1913-14. 5.5. Broadening Physical Horizons - Concluding Remarks. 6: Einstein and Mie: Two Pillars of Hilbert’s Unified Theory. 6.1. Einstein’s Way to General Relativity. 6.2. Mie’s Electromagnetic Theory of Matter. 6.2.1 First and Second Installment: Early 1912. 6.2.2 Third Installment: November 1912. 6.3. Contemporary Debates on Gravitation. 6.4. Born’s Formulation of Mie’s Theory. 6.5. The Background to Hilbert’s Unified Theory – Summary. 7: Foundations of Physics: 1915-1916. 7.1. Einstein in Göttingen – Summer of 1915. 7.2. Hilbert’s Unified Theory – General Considerations. 7.3. Hilbert’s Communication to the GWG – November 1915. 7.3.1 Axioms and Basic Assumptions. 7.3.2 The Hamiltonian Function and the Field Equations. 7.3.3 Summary and Additional Considerations. 7.4. The Hilbert-Einstein Correspondence and Einstein’s Four Communications – November 1915. 7.5. Hilbert’s Unified Theory: First Printed Version – March 1916. 7.6. Foundations of Physics – Summary. 8: Hilbert and GTR: 1916-1918. 8.1. Mie’s Reaction. 8.2. Einstein’s Reaction. 8.3. Hilbert Teaches GTR – 1916-1917. 8.4. Hilbert’s Second Communication – December 1916. 8.5. Göttingen Debates on Energy