On Hilbert's Sixth Problem
This book explores the premise that a physical theory is an interpretation of the analytico–canonical formalism. Throughout the text, the investigation stresses that classical mechanics in its Lagrangian formulation is the formal backbone of theoretical physics. The authors start from a presentation...
| Main Authors: | , |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
Cham
Springer International Publishing
2022, 2022
|
| Edition: | 1st ed. 2022 |
| Series: | Synthese Library, Studies in Epistemology, Logic, Methodology, and Philosophy of Science
|
| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- Foreword
- 1. Preliminary
- Part I. Physics: A Primer. 2. Classical mechanics
- 3. Variational calculus
- 4. Lagrangian formulation
- 5. Hamilton’s equations
- 6. Hamilton–Jacobi theory
- 7. Where the action is
- 8. From classical to quantum
- 9. Field theory
- 10. Electromagnetism
- 11. Special relativity
- 12. General relativity
- 13. Gauge field theories
- Part II. Axiomatics. 14. Axiomatizations in ZFC
- Part III. Technicalities. 15. Hierarchies
- Part IV. More applications. 16. Arnol’d’s 1974 problems
- 17. Forcing and gravitation
- 18. Economics and ecology
- Part V. Computer science. 19. Fast–growing functions
- Part VI. Hypercomputation. 20. Hypercomputation
- References