On Hilbert's Sixth Problem
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Beschreibung
Foreword
1. Preliminary
Part I. Physics: A Primer2. Classical mechanics3. Variational calculus4. Lagrangian formulation5. Hamilton's equations6. Hamilton-Jacobi theory7. Where the action is8. From classical to quantum9. Field theory10. Electromagnetism11. Special relativity12. General relativity13. Gauge field theories
Part II. Axiomatics14. Axiomatizations in ZFC
Part III. Technicalities15. Hierarchies
Part IV. More applications16. Arnol'd's 1974 problems17. Forcing and gravitation18. Economics and ecology.
Part V. Computer science19. Fast-growing functions
Part VI. Hypercomputation20. Hypercomputation
References
1. Preliminary
Part I. Physics: A Primer2. Classical mechanics3. Variational calculus4. Lagrangian formulation5. Hamilton's equations6. Hamilton-Jacobi theory7. Where the action is8. From classical to quantum9. Field theory10. Electromagnetism11. Special relativity12. General relativity13. Gauge field theories
Part II. Axiomatics14. Axiomatizations in ZFC
Part III. Technicalities15. Hierarchies
Part IV. More applications16. Arnol'd's 1974 problems17. Forcing and gravitation18. Economics and ecology.
Part V. Computer science19. Fast-growing functions
Part VI. Hypercomputation20. Hypercomputation
References
Eigenschaften
Breite: | 155 |
Höhe: | 235 |
Seiten: | 186 |
Sprachen: | Englisch |
Autor: | Francisco Antonio Doria, Newton C. A. da Costa |
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