Concepts & Images: Visual Mathematics
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Birkhäuser Boston
1993
|
| Schriftenreihe: | Design Science Collection, A Pro Scientia Viva Title
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 1. Introduction . 1 2. Areas and Angles . . 6 3. Tessellations and Symmetry 14 4. The Postulate of Closest Approach 28 5. The Coexistence of Rotocenters 36 6. A Diophantine Equation and its Solutions 46 7. Enantiomorphy. . . . . . . . 57 8. Symmetry Elements in the Plane 77 9. Pentagonal Tessellations . 89 10. Hexagonal Tessellations 101 11. Dirichlet Domain 106 12. Points and Regions 116 13. A Look at Infinity . 122 14. An Irrational Number 128 15. The Notation of Calculus 137 16. Integrals and Logarithms 142 17. Growth Functions . . . 149 18. Sigmoids and the Seventh-year Trifurcation, a Metaphor 159 19. Dynamic Symmetry and Fibonacci Numbers 167 20. The Golden Triangle 179 21. Quasi Symmetry 193 Appendix I: Exercise in Glide Symmetry . 205 Appendix II: Construction of Logarithmic Spiral . 207 Bibliography . 210 Index . . . . . . . . . . . . . . . . . . . . 225 Concepts and Images is the result of twenty years of teaching at Harvard's Department of Visual and Environmental Studies in the Carpenter Center for the Visual Arts, a department devoted to turning out students articulate in images much as a language department teaches reading and expressing one self in words. It is a response to our students' requests for a "handout" and to l our colleagues' inquiries about the courses : Visual and Environmental Studies 175 (Introduction to Design Science), YES 176 (Synergetics, the Structure of Ordered Space), Studio Arts 125a (Design Science Workshop, Two-Dimension al), Studio Arts 125b (Design Science Workshop, Three-Dimensional),2 as well as my freshman seminars on Structure in Science and Art |
| Beschreibung: | 1 Online-Ressource (XI, 228 p) |
| ISBN: | 9781461203438 9781461267164 |
| DOI: | 10.1007/978-1-4612-0343-8 |
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Datensatz im Suchindex
| _version_ | 1804153090266365952 |
|---|---|
| any_adam_object | |
| author | Loeb, Arthur L. |
| author_facet | Loeb, Arthur L. |
| author_role | aut |
| author_sort | Loeb, Arthur L. |
| author_variant | a l l al all |
| building | Verbundindex |
| bvnumber | BV042419509 |
| classification_tum | MAT 000 |
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| dewey-ones | 004 - Computer science |
| dewey-raw | 004 |
| dewey-search | 004 |
| dewey-sort | 14 |
| dewey-tens | 000 - Computer science, information, general works |
| discipline | Informatik Mathematik |
| doi_str_mv | 10.1007/978-1-4612-0343-8 |
| format | Electronic eBook |
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| id | DE-604.BV042419509 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:04Z |
| institution | BVB |
| isbn | 9781461203438 9781461267164 |
| language | English |
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| publishDate | 1993 |
| publishDateSearch | 1993 |
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| publisher | Birkhäuser Boston |
| record_format | marc |
| series2 | Design Science Collection, A Pro Scientia Viva Title |
| spelling | Loeb, Arthur L. Verfasser aut Concepts & Images Visual Mathematics by Arthur L. Loeb Boston, MA Birkhäuser Boston 1993 1 Online-Ressource (XI, 228 p) txt rdacontent c rdamedia cr rdacarrier Design Science Collection, A Pro Scientia Viva Title 1. Introduction . 1 2. Areas and Angles . . 6 3. Tessellations and Symmetry 14 4. The Postulate of Closest Approach 28 5. The Coexistence of Rotocenters 36 6. A Diophantine Equation and its Solutions 46 7. Enantiomorphy. . . . . . . . 57 8. Symmetry Elements in the Plane 77 9. Pentagonal Tessellations . 89 10. Hexagonal Tessellations 101 11. Dirichlet Domain 106 12. Points and Regions 116 13. A Look at Infinity . 122 14. An Irrational Number 128 15. The Notation of Calculus 137 16. Integrals and Logarithms 142 17. Growth Functions . . . 149 18. Sigmoids and the Seventh-year Trifurcation, a Metaphor 159 19. Dynamic Symmetry and Fibonacci Numbers 167 20. The Golden Triangle 179 21. Quasi Symmetry 193 Appendix I: Exercise in Glide Symmetry . 205 Appendix II: Construction of Logarithmic Spiral . 207 Bibliography . 210 Index . . . . . . . . . . . . . . . . . . . . 225 Concepts and Images is the result of twenty years of teaching at Harvard's Department of Visual and Environmental Studies in the Carpenter Center for the Visual Arts, a department devoted to turning out students articulate in images much as a language department teaches reading and expressing one self in words. It is a response to our students' requests for a "handout" and to l our colleagues' inquiries about the courses : Visual and Environmental Studies 175 (Introduction to Design Science), YES 176 (Synergetics, the Structure of Ordered Space), Studio Arts 125a (Design Science Workshop, Two-Dimension al), Studio Arts 125b (Design Science Workshop, Three-Dimensional),2 as well as my freshman seminars on Structure in Science and Art Mathematics Computer vision Visualization Logic, Symbolic and mathematical Mathematical physics Mathematical Logic and Foundations Applications of Mathematics Computer Imaging, Vision, Pattern Recognition and Graphics Signal, Image and Speech Processing Mathematical Methods in Physics Mathematik Mathematische Physik Goldener Schnitt (DE-588)4021529-5 gnd rswk-swf Proportion (DE-588)4137270-0 gnd rswk-swf Symmetrie (DE-588)4058724-1 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Visualisierung (DE-588)4188417-6 gnd rswk-swf Geometrie (DE-588)4020236-7 gnd rswk-swf Parkettierung (DE-588)4126296-7 gnd rswk-swf Design (DE-588)4011510-0 gnd rswk-swf Geometrie (DE-588)4020236-7 s Design (DE-588)4011510-0 s 1\p DE-604 Mathematik (DE-588)4037944-9 s Visualisierung (DE-588)4188417-6 s 2\p DE-604 Proportion (DE-588)4137270-0 s 3\p DE-604 Parkettierung (DE-588)4126296-7 s 4\p DE-604 Symmetrie (DE-588)4058724-1 s 5\p DE-604 Goldener Schnitt (DE-588)4021529-5 s 6\p DE-604 https://doi.org/10.1007/978-1-4612-0343-8 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 5\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 6\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Loeb, Arthur L. Concepts & Images Visual Mathematics Mathematics Computer vision Visualization Logic, Symbolic and mathematical Mathematical physics Mathematical Logic and Foundations Applications of Mathematics Computer Imaging, Vision, Pattern Recognition and Graphics Signal, Image and Speech Processing Mathematical Methods in Physics Mathematik Mathematische Physik Goldener Schnitt (DE-588)4021529-5 gnd Proportion (DE-588)4137270-0 gnd Symmetrie (DE-588)4058724-1 gnd Mathematik (DE-588)4037944-9 gnd Visualisierung (DE-588)4188417-6 gnd Geometrie (DE-588)4020236-7 gnd Parkettierung (DE-588)4126296-7 gnd Design (DE-588)4011510-0 gnd |
| subject_GND | (DE-588)4021529-5 (DE-588)4137270-0 (DE-588)4058724-1 (DE-588)4037944-9 (DE-588)4188417-6 (DE-588)4020236-7 (DE-588)4126296-7 (DE-588)4011510-0 |
| title | Concepts & Images Visual Mathematics |
| title_auth | Concepts & Images Visual Mathematics |
| title_exact_search | Concepts & Images Visual Mathematics |
| title_full | Concepts & Images Visual Mathematics by Arthur L. Loeb |
| title_fullStr | Concepts & Images Visual Mathematics by Arthur L. Loeb |
| title_full_unstemmed | Concepts & Images Visual Mathematics by Arthur L. Loeb |
| title_short | Concepts & Images |
| title_sort | concepts images visual mathematics |
| title_sub | Visual Mathematics |
| topic | Mathematics Computer vision Visualization Logic, Symbolic and mathematical Mathematical physics Mathematical Logic and Foundations Applications of Mathematics Computer Imaging, Vision, Pattern Recognition and Graphics Signal, Image and Speech Processing Mathematical Methods in Physics Mathematik Mathematische Physik Goldener Schnitt (DE-588)4021529-5 gnd Proportion (DE-588)4137270-0 gnd Symmetrie (DE-588)4058724-1 gnd Mathematik (DE-588)4037944-9 gnd Visualisierung (DE-588)4188417-6 gnd Geometrie (DE-588)4020236-7 gnd Parkettierung (DE-588)4126296-7 gnd Design (DE-588)4011510-0 gnd |
| topic_facet | Mathematics Computer vision Visualization Logic, Symbolic and mathematical Mathematical physics Mathematical Logic and Foundations Applications of Mathematics Computer Imaging, Vision, Pattern Recognition and Graphics Signal, Image and Speech Processing Mathematical Methods in Physics Mathematik Mathematische Physik Goldener Schnitt Proportion Symmetrie Visualisierung Geometrie Parkettierung Design |
| url | https://doi.org/10.1007/978-1-4612-0343-8 |
| work_keys_str_mv | AT loebarthurl conceptsimagesvisualmathematics |