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Bibliographic Details
Main Author:	Arnolʹd, V. I. 1937-2010 (Author)
Format:	Book
Language:	English
Published:	Basel u.a. Birkhäuser 1990
Subjects:	Geschichte 1650-1800 Geschichte 1600-1700 Geschichte Physik Analysis Mathematische Physik
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002550918&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Item Description:	Aus d. Russ. übers.
Physical Description:	118 S. graph. Darst.
ISBN:	3764323833 0817623833

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adam_text	CONTENTS Huygens and Barrow, Newton and Hooke 7 Chapter 1. The law of universal gravitation § 1. Newton and Hooke 11 § 2. The problem of falling bodies 16 § 3. The inverse square law 22 § 4. The Principia 24 § 5. Attraction of spheres 26 § 6. Did Newton prove that orbits are elliptic? 30 Chapter 2. Mathematical analysis § 7. Analysis by means of power series 35 § 8. The Newton polygon 36 § 9. Barrow 38 §10. Taylor series 42 §11. Leibniz 44 §12. Discussion on the invention of analysis 49 Chapter 3. From evolvents to quasicrystals §13. The evolvents of Huygens 53 §14. The wave fronts of Huygens 56 §15. Evolvents and the icosahedron 58 §16. The icosahedron and quasicrystals 62 Chapter 4. Celestial mechanics §17. Newton after the Principia 67 §18. The natural philosophy of Newton 68 §19. The triumphs of celestial mechanics 69 §20. Laplace s theorem on stability 71 §21. Will the Moon fall to Earth? 72 §22. The three body problem 74 §23. The Titius Bode law and the minor planets 75 §24. Gaps and resonances 77 Chapter 5. Kepler s second law and the topology of Abelian integrals §25. Newton s theorem on the transcendence of integrals 83 §26. Local and global algebraicity 86 §27. Newton s theorem on local non algebraicity .... 88 §28. Analyticity of smooth algebraic curves 89 §29. Algebraicity of locally algebraically integrable ovals 90 §30. Algebraically non integrable curves with singularities 91 §31. Newton s proof and modern mathematics 93 Appendix 1. Proof that orbits are elliptic 95 Appendix 2. Lemma XXVIII of Newton s Principia 101 Notes 107 Index 117
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author	Arnolʹd, V. I. 1937-2010
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isbn	3764323833 0817623833
language	English
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spellingShingle	Arnolʹd, V. I. 1937-2010 Huygens and Barrow, Newton and Hooke pioneers in mathematical analysis and catastrophe theory from evolvents to quasicrystals Geschichte (DE-588)4020517-4 gnd Physik (DE-588)4045956-1 gnd Analysis (DE-588)4001865-9 gnd Mathematische Physik (DE-588)4037952-8 gnd
subject_GND	(DE-588)4020517-4 (DE-588)4045956-1 (DE-588)4001865-9 (DE-588)4037952-8
title	Huygens and Barrow, Newton and Hooke pioneers in mathematical analysis and catastrophe theory from evolvents to quasicrystals
title_alt	Giygens i Barru, N'iuton i Guk
title_auth	Huygens and Barrow, Newton and Hooke pioneers in mathematical analysis and catastrophe theory from evolvents to quasicrystals
title_exact_search	Huygens and Barrow, Newton and Hooke pioneers in mathematical analysis and catastrophe theory from evolvents to quasicrystals
title_full	Huygens and Barrow, Newton and Hooke pioneers in mathematical analysis and catastrophe theory from evolvents to quasicrystals V. I. Arnol'd
title_fullStr	Huygens and Barrow, Newton and Hooke pioneers in mathematical analysis and catastrophe theory from evolvents to quasicrystals V. I. Arnol'd
title_full_unstemmed	Huygens and Barrow, Newton and Hooke pioneers in mathematical analysis and catastrophe theory from evolvents to quasicrystals V. I. Arnol'd
title_short	Huygens and Barrow, Newton and Hooke
title_sort	huygens and barrow newton and hooke pioneers in mathematical analysis and catastrophe theory from evolvents to quasicrystals
title_sub	pioneers in mathematical analysis and catastrophe theory from evolvents to quasicrystals
topic	Geschichte (DE-588)4020517-4 gnd Physik (DE-588)4045956-1 gnd Analysis (DE-588)4001865-9 gnd Mathematische Physik (DE-588)4037952-8 gnd
topic_facet	Geschichte Physik Analysis Mathematische Physik
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002550918&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT arnolʹdvi giygensibarruniutoniguk AT arnolʹdvi huygensandbarrownewtonandhookepioneersinmathematicalanalysisandcatastrophetheoryfromevolventstoquasicrystals

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