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Vladimir I. Arnold:

Huygens and Barrow, Newton and Hooke - Taschenbuch

1990, ISBN: 3764323833

[EAN: 9783764323837], Neubuch, [PU: Birkhäuser Basel Jul 1990], ANALYSIS; CALCULUS; KATASTROPHE; MATHEMATIK / GESCHICHTE; NEWTON, ISAAC; PHYSIK THEORETISCHE PHYSIK; TAYLORSERIES; DISTRIBU… Mehr…

NEW BOOK. Versandkosten:Versandkostenfrei. (EUR 0.00) BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany [57449362] [Rating: 4 (von 5)]
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Huygens and Barrow, Newton and Hooke: Pioneers in mathematical analysis and catastrophe theory from evolvents to quasicrystals Vladimir I. Arnold Auth - neues Buch

ISBN: 9783764323837

Translated from the Russian by E.J.F. Primrose Remarkable little book. -SIAM REVIEW V.I. Arnold, who is renowned for his lively style, retraces the beginnings of mathematical analysis… Mehr…

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Huygens and Barrow, Newton and Hooke - neues Buch

ISBN: 9783764323837

Translated from the Russian by E.J.F. Primrose "Remarkable little book." -SIAM REVIEW V.I. Arnold, who is renowned for his lively style, retraces the beginnings of mathematical analysis a… Mehr…

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Vladimir I. Arnold:
Huygens and Barrow, Newton and Hooke: Pioneers in mathematical analysis and catastrophe theory from evolvents to quasicrystals - Taschenbuch

ISBN: 9783764323837

Paperback / softback. New. Arnold, who is renowned for his lively style, retraces the beginnings of mathematical analysis and theoretical physics in the works (and the intrigues!) of the… Mehr…

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Vladimir I. Arnold:
Huygens and Barrow, Newton and Hooke - Taschenbuch

ISBN: 9783764323837

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Details zum Buch
Huygens and Barrow, Newton and Hooke: Pioneers in mathematical analysis and catastrophe theory from evolvents to quasicrystals Vladimir I. Arnold Auth
Autor:
Titel:
ISBN-Nummer:

3764323833


Translated from the Russian by E.J.F. Primrose
"Remarkable little book." -SIAM REVIEW
V.I. Arnold, who is renowned for his lively style, retraces the beginnings of mathematical analysis and theoretical physics in the works (and the intrigues!) of the great scientists of the 17th century.
Some of Huygens' and Newton's ideas. several centuries ahead of their time, were developed only recently. The author follows the link between their inception and the breakthroughs in contemporary mathematics and physics.
The book provides present-day generalizations of Newton's theorems on the elliptical shape of orbits and on the transcendence of abelian integrals; it offers a brief review of the theory of regular and chaotic movement in celestial mechanics, including the problem of ports in the distribution of smaller planets and a discussion of the structure of planetary rings.

Detailangaben zum Buch - Huygens and Barrow, Newton and Hooke: Pioneers in mathematical analysis and catastrophe theory from evolvents to quasicrystals Vladimir I. Arnold Auth


EAN (ISBN-13): 9783764323837
ISBN (ISBN-10): 3764323833
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 2013
Herausgeber: Birkhäuser Basel Core >1

Buch in der Datenbank seit 2007-05-10T11:59:58+02:00 (Berlin)
Detailseite zuletzt geändert am 2024-05-11T11:16:56+02:00 (Berlin)
ISBN/EAN: 3764323833

ISBN - alternative Schreibweisen:
3-7643-2383-3, 978-3-7643-2383-7
Alternative Schreibweisen und verwandte Suchbegriffe:
Autor des Buches: huygens, arnol, ernest drake, grauert lieb, vladimir arnold pozner
Titel des Buches: huygens newton, hooke, mathematical, huygens and barrow, analysis, catastrophe theory, pioneers, quasicrystal, huy, differential und integralrechnung

Daten vom Verlag:

Autor/in: Vladimir I. Arnold
Titel: Huygens and Barrow, Newton and Hooke - Pioneers in mathematical analysis and catastrophe theory from evolvents to quasicrystals
Verlag: Birkhäuser; Springer Basel
118 Seiten
Erscheinungsjahr: 1990-07-01
Basel; CH
Sprache: Englisch
96,29 € (DE)
98,99 € (AT)
106,50 CHF (CH)
Available
118 p. 1 illus.

BC; Hardcover, Softcover / Mathematik/Analysis; Mathematische Analysis, allgemein; Verstehen; Taylor series; distribution; integral; mathematical analysis; stability; Analysis; EA

Huygens and Barrow, Newton and Hooke.- 1. The law of universal gravitation.- § 1. Newton and Hooke.- § 2. The problem of falling bodies.- § 3. The inverse square law.- § 4. The Principia.- § 5. Attraction of spheres.- § 6. Did Newton prove that orbits are elliptic?.- 2. Mathematical analysis.- § 7. Analysis by means of power series.- § 8. The Newton polygon.- § 9. Barrow.- §10. Taylor series.- §11. Leibniz.- §12. Discussion on the invention of analysis.- 3. From evolvents to quasicrystals.- §13. The evolvents of Huygens.- §14. The wave fronts of Huygens.- §15. Evolvents and the icosahedron.- §16. The icosahedron and quasicrystals.- 4. Celestial mechanics.- §17. Newton after the Principia.- §18. The natural philosophy of Newton.- §19. The triumphs of celestial mechanics.- §20. Laplace’s theorem on stability.- §21. Will the Moon fall to Earth?.- §22. The three body problem.- §23. The Titius-Bode law and the minor planets.- §24. Gaps and resonances.- 5. Kepler’s second law and the topology of Abelian integrals.- §25. Newton’s theorem on the transcendence of integrals.- §26. Local and global algebraicity.- §27. Newton’s theorem on local non-algebraicity.- §28. Analyticity of smooth algebraic curves.- §29. Algebraicity of locally algebraically integrable ovals.- §30. Algebraically non-integrable curves with singularities.- §31. Newton’s proof and modern mathematics.- Appendix 1. Proof that orbits are elliptic.- Appendix 2. Lemma XXVIII of Newton’s Principia.- Notes.
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