Holdings: Mathematical omnibus

Mathematical omnibus: thirty lectures on classic mathematics

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Bibliographic Details
Main Authors:	Fuks, Dmitrij B. 1939- (Author), Tabachnikov, Serge 1956- (Author)
Format:	Book
Language:	English
Published:	Providence, Rhode Island American Mathematial Society [2007]
Subjects:	Mathematik Mathematics Vortrag Einführung
Online Access:	Inhaltsverzeichnis Inhaltsverzeichnis
Physical Description:	XV, 463 Seiten Illustrationen, Diagramme
ISBN:	0821843168 9780821843161

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MARC


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adam_text	MATHEMATICA OMNIBUS THIRTY LECTURES ON CLASSIC MATHEMATICS DMITRY FUCHS SERGE TA BACH NIKOV AMS AMERICAN MATHEMATICAL SOCIETY CONTENTS PREFACE IX ART AND PHOTO CREDITS XIII ALGEBRA AND ARITHMETICS CHAPTER 1. ARITHMETIC AND COMBINATORICS LECTURE 1. CAN A NUMBER BE APPROXIMATELY RATIONAL? 5 LECTURE 2. ARITHMETICAL PROPERTIES OF BINOMIAL COEFFICIENTS 27 LECTURE 3. ON COLLECTING LIKE TERMS, ON EULER, GAUSS, AND MACDONALD, AND ON MISSED OPPORTUNITIES 45 CHAPTER 2. EQUATIONS LECTURE 4. EQUATIONS OF DEGREE THREE AND FOUR 67 LECTURE 5. EQUATIONS OF DEGREE FIVE 79 LECTURE 6. HOW MANY ROOTS DOES A POLYNOMIAL HAVE? 93 LECTURE 7. CHEBYSHEV POLYNOMIALS 101 LECTURE 8. GEOMETRY OF EQUATIONS 109 GEOMETRY AND TOPOLOGY CHAPTER 3. ENVELOPES AND SINGULARITIES LECTURE 9. CUSPS 125 LECTURE 10. AROUND FOUR VERTICES 141 LECTURE 11. SEGMENTS OF EQUAL AREAS 159 LECTURE 12. ON PLANE CURVES 171 CHAPTER 4. DEVELOPABLE SURFACES LECTURE 13. PAPER SHEET GEOMETRY 189 LECTURE 14. PAPER MOBIUS BAND 203 LECTURE 15. MORE ON PAPER FOLDING 213 CHAPTER 5. STRAIGHT LINES LECTURE 16. STRAIGHT LINES ON CURVED SURFACES 225 VIII CONTENTS LECTURE 17. TWENTY-SEVEN LINES 239 LECTURE 18. WEB GEOMETRY 253 LECTURE 19. THE CROFTON FORMULA 269 CHAPTER 6. POLYHEDRA LECTURE 20. CURVATURE AND POLYHEDRA 285 LECTURE 21. NON-INSCRIBABLE POLYHEDRA 301 LECTURE 22. CAN ONE MAKE A TETRAHEDRON OUT OF A CUBE? 307 LECTURE 23. IMPOSSIBLE TILINGS 319 LECTURE 24. RIGIDITY OF POLYHEDRA 335 LECTURE 25. FLEXIBLE POLYHEDRA 345 CHAPTER 7. TWO SURPRISING TOPOLOGICAL CONSTRUCTIONS LECTURE 26. ALEXANDER S HORNED SPHERE 361 LECTURE 27. CONE EVERSION 373 CHAPTER 8. ON ELLIPSES AND ELLIPSOIDS LECTURE 28. BILLIARDS IN ELLIPSES AND GEODESIES ON ELLIPSOIDS 383 LECTURE 29. THE PONCELET PORISM AND OTHER CLOSURE THEOREMS 403 LECTURE 30. GRAVITATIONAL ATTRACTION OF ELLIPSOIDS 415 SOLUTIONS TO SELECTED EXERCISES 425 BIBLIOGRAPHY 457 INDEX 461
adam_txt	MATHEMATICA OMNIBUS THIRTY LECTURES ON CLASSIC MATHEMATICS DMITRY FUCHS SERGE TA BACH NIKOV AMS AMERICAN MATHEMATICAL SOCIETY CONTENTS PREFACE IX ART AND PHOTO CREDITS XIII ALGEBRA AND ARITHMETICS CHAPTER 1. ARITHMETIC AND COMBINATORICS LECTURE 1. CAN A NUMBER BE APPROXIMATELY RATIONAL? 5 LECTURE 2. ARITHMETICAL PROPERTIES OF BINOMIAL COEFFICIENTS 27 LECTURE 3. ON COLLECTING LIKE TERMS, ON EULER, GAUSS, AND MACDONALD, AND ON MISSED OPPORTUNITIES 45 CHAPTER 2. EQUATIONS LECTURE 4. EQUATIONS OF DEGREE THREE AND FOUR 67 LECTURE 5. EQUATIONS OF DEGREE FIVE 79 LECTURE 6. HOW MANY ROOTS DOES A POLYNOMIAL HAVE? 93 LECTURE 7. CHEBYSHEV POLYNOMIALS 101 LECTURE 8. GEOMETRY OF EQUATIONS 109 GEOMETRY AND TOPOLOGY CHAPTER 3. ENVELOPES AND SINGULARITIES LECTURE 9. CUSPS 125 LECTURE 10. AROUND FOUR VERTICES 141 LECTURE 11. SEGMENTS OF EQUAL AREAS 159 LECTURE 12. ON PLANE CURVES 171 CHAPTER 4. DEVELOPABLE SURFACES LECTURE 13. PAPER SHEET GEOMETRY 189 LECTURE 14. PAPER MOBIUS BAND 203 LECTURE 15. MORE ON PAPER FOLDING 213 CHAPTER 5. STRAIGHT LINES LECTURE 16. STRAIGHT LINES ON CURVED SURFACES 225 VIII CONTENTS LECTURE 17. TWENTY-SEVEN LINES 239 LECTURE 18. WEB GEOMETRY 253 LECTURE 19. THE CROFTON FORMULA 269 CHAPTER 6. POLYHEDRA LECTURE 20. CURVATURE AND POLYHEDRA 285 LECTURE 21. NON-INSCRIBABLE POLYHEDRA 301 LECTURE 22. CAN ONE MAKE A TETRAHEDRON OUT OF A CUBE? 307 LECTURE 23. IMPOSSIBLE TILINGS 319 LECTURE 24. RIGIDITY OF POLYHEDRA 335 LECTURE 25. FLEXIBLE POLYHEDRA 345 CHAPTER 7. TWO SURPRISING TOPOLOGICAL CONSTRUCTIONS LECTURE 26. ALEXANDER'S HORNED SPHERE 361 LECTURE 27. CONE EVERSION 373 CHAPTER 8. ON ELLIPSES AND ELLIPSOIDS LECTURE 28. BILLIARDS IN ELLIPSES AND GEODESIES ON ELLIPSOIDS 383 LECTURE 29. THE PONCELET PORISM AND OTHER CLOSURE THEOREMS 403 LECTURE 30. GRAVITATIONAL ATTRACTION OF ELLIPSOIDS 415 SOLUTIONS TO SELECTED EXERCISES 425 BIBLIOGRAPHY 457 INDEX 461
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author	Fuks, Dmitrij B. 1939- Tabachnikov, Serge 1956-
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index_date	2024-07-02T19:54:31Z
indexdate	2024-07-09T21:11:43Z
institution	BVB
isbn	0821843168 9780821843161
language	English
lccn	2007060824
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physical	XV, 463 Seiten Illustrationen, Diagramme
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publisher	American Mathematial Society
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spelling	Fuks, Dmitrij B. 1939- Verfasser (DE-588)110261984 aut Mathematical omnibus thirty lectures on classic mathematics Dmitry Fuchs ; Serge Tabachnikov Providence, Rhode Island American Mathematial Society [2007] XV, 463 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Mathematik Mathematics Mathematik (DE-588)4037944-9 gnd rswk-swf Vortrag (DE-588)4064035-8 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Mathematik (DE-588)4037944-9 s Vortrag (DE-588)4064035-8 s DE-604 Tabachnikov, Serge 1956- Verfasser (DE-588)133854604 aut http://www.gbv.de/dms/goettingen/530874679.pdf kostenfrei Inhaltsverzeichnis HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016331290&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Fuks, Dmitrij B. 1939- Tabachnikov, Serge 1956- Mathematical omnibus thirty lectures on classic mathematics Mathematik Mathematics Mathematik (DE-588)4037944-9 gnd Vortrag (DE-588)4064035-8 gnd
subject_GND	(DE-588)4037944-9 (DE-588)4064035-8 (DE-588)4151278-9
title	Mathematical omnibus thirty lectures on classic mathematics
title_auth	Mathematical omnibus thirty lectures on classic mathematics
title_exact_search	Mathematical omnibus thirty lectures on classic mathematics
title_exact_search_txtP	Mathematical omnibus thirty lectures on classic mathematics
title_full	Mathematical omnibus thirty lectures on classic mathematics Dmitry Fuchs ; Serge Tabachnikov
title_fullStr	Mathematical omnibus thirty lectures on classic mathematics Dmitry Fuchs ; Serge Tabachnikov
title_full_unstemmed	Mathematical omnibus thirty lectures on classic mathematics Dmitry Fuchs ; Serge Tabachnikov
title_short	Mathematical omnibus
title_sort	mathematical omnibus thirty lectures on classic mathematics
title_sub	thirty lectures on classic mathematics
topic	Mathematik Mathematics Mathematik (DE-588)4037944-9 gnd Vortrag (DE-588)4064035-8 gnd
topic_facet	Mathematik Mathematics Vortrag Einführung
url	http://www.gbv.de/dms/goettingen/530874679.pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016331290&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
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