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Mechanistic images in geometric form : Heinrich Hertz's Principles of mechanics

Author: Jesper Lützen
Publisher: Oxford : Oxford University Press, 2010
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
This book presents an analysis of Heinrich Hertz's posthumously published 'Principles of Mechanics' in its philosophical, physical and mathematical context. It is the first book to comprehensively examine Hertz's important ideas on mechanics and the author draws on the original manuscripts to reveal the creative process of Hertz throughout the writing of his book
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Named Person: Heinrich Hertz
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Jesper Lützen
ISBN: 9780198567370 0198567375
OCLC Number: 764539327
Notes: Originally published 2005
Description: xiii, 318 s. : illustrations
Contents: 1. Introduction; 2. The principles of mechanics before Hertz; 3. Mechanization of physics; 4. The concept of force; 5. A biographical survey; 6. Hertz's road to mechanics; 7. Images of nature; 8. Hertz's earlier ideas about images; 9. Images of mechanics; 10. Kantianism. A priori and empirical elements of images; 11. Time, space and mass; 12. The line element: the origin of the Massenteilchen; 13. Hertz's geometry of systems of points; 14. Vector quantities and their components; 15. Connections. Material systems; 16. The fundamental law; 17. Free systems; 18. Cyclic coordinates; 19. Unfree systems. Forces; 20. Cyclic and conservative systems; 21. Integral principles; 22. A history of non-holonomic constraints; 23. Hertz on the Hamiltonian formalism; 24. Mathematicians on the geometrization of the Hamilton-Jacobi formalism; 25. Hertz on the domain of applicability of his mechanics; 26. Force-producing models; 27. Reception, extension and impact; 28. List of conclusions; A. Appendix
Responsibility: Jesper Lützen
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Abstract:

This book presents an analysis of Heinrich Hertz's posthumously published 'Principles of Mechanics' in its philosophical, physical and mathematical context. It is the first book to comprehensively  Read more...

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... interesting, thorough, well-documented and well-presented. * Leo Corry, Tel Aviv University * ... very clearly written and well organised. * Jeremy Gray, Open University * ...the book is very Read more...

 
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