Mathematical omnibus: thirty lectures on classic mathematics
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, Rhode Island
American Mathematial Society
[2007]
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis Inhaltsverzeichnis |
| Beschreibung: | XV, 463 Seiten Illustrationen, Diagramme |
| ISBN: | 0821843168 9780821843161 |
Internformat
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Datensatz im Suchindex
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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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| callnumber-subject | QA - Mathematics |
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| dewey-full | 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
| dewey-search | 510 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| format | Book |
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| id | DE-604.BV023134145 |
| illustrated | Illustrated |
| 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 |
| publishDate | 2007 |
| publishDateSearch | 2007 |
| publishDateSort | 2007 |
| publisher | American Mathematial Society |
| record_format | marc |
| 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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