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Good Concepts & Images: Visual Mathematics [Design Science Collection] Loeb, Art

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ISBN
9780817636203

關於產品

Product Identifiers

Publisher
Birkhäuser Boston
ISBN-10
081763620X
ISBN-13
9780817636203
eBay Product ID (ePID)
24038715202

Product Key Features

Number of Pages
Xi, 228 Pages
Publication Name
concepts and Images : Visual Mathematics
Language
English
Subject
Geometry / General, Graphic Methods, General, Logic, Applied
Publication Year
1992
Type
Textbook
Subject Area
Mathematics, Design
Author
Arthur L. Loeb
Series
Design Science Collection
Format
Hardcover

Dimensions

Item Weight
40.6 Oz
Item Length
9.3 in
Item Width
6.1 in

Additional Product Features

Intended Audience
Scholarly & Professional
LCCN
91-045904
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
516
Table Of Content
1. Introduction.- 2. Areas and Angles.- 3. Tessellations and Symmetry.- 4. The Postulate of Closest Approach.- 5. The Coexistence of Rotocenters.- 6. A Diophantine Equation and its Solutions.- 7. Enantiomorphy.- 8. Symmetry Elements in the Plane.- 9. Pentagonal Tessellations.- 10. Hexagonal Tessellations.- 11. Dirichlet Domain.- 12. Points and Regions.- 13. A Look at Infinity.- 14. An Irrational Number.- 15. The Notation of Calculus.- 16. Integrals and Logarithms.- 17. Growth Functions.- 18. Sigmoids and the Seventh-year Trifurcation, a Metaphor.- 19. Dynamic Symmetry and Fibonacci Numbers.- 20. The Golden Triangle.- 21. Quasi Symmetry.- Appendix I: Exercise in Glide Symmetry.- Appendix II: Construction of Logarithmic Spiral.
Synopsis
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., 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.
LC Classification Number
QA76.9.I52

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