Franklin

Beautiful Geometry / Eli Maor, Eugen Jost.

Author/Creator:
Maor, Eli author.
Publication:
Princeton, NJ : Princeton University Press, [2014]
Format/Description:
Book
1 online resource : 66 color illustrations 64 line illustrations.
Edition:
Course Book
Contained In:
De Gruyter University Press Library.
Status/Location:
Loading...

Options
Location Notes Your Loan Policy

Details

Language:
In English.
System Details:
Mode of access: Internet via World Wide Web.
text file PDF
Summary:
If you've ever thought that mathematics and art don't mix, this stunning visual history of geometry will change your mind. As much a work of art as a book about mathematics, Beautiful Geometry presents more than sixty exquisite color plates illustrating a wide range of geometric patterns and theorems, accompanied by brief accounts of the fascinating history and people behind each. With artwork by Swiss artist Eugen Jost and text by math historian Eli Maor, this unique celebration of geometry covers numerous subjects, from straightedge-and-compass constructions to intriguing configurations involving infinity. The result is a delightful and informative illustrated tour through the 2,500-year-old history of one of the most important branches of mathematics.
Contents:
Frontmatter
Contents
Prefaces. Art through Mathematical Eyes
1. Thales of Miletus
2. Triangles of Equal Area
3. Quadrilaterals
4. Perfect Numbers and Triangular Numbers
5. The Pythagorean Theorem I
6. The Pythagorean Theorem II
7. Pythagorean Triples
8. The Square Root of 2
9. A Repertoire of Means
10. More about Means
11. Two Theorems from Euclid
12. Different, yet the Same
13. One Theorem, Three Proofs
14. The Prime Numbers
15. Two Prime Mysteries
16. 0.999. . . = ?
17. Eleven
18. Euclidean Constructions
19. Hexagons
20. Fibonacci Numbers
21. The Golden Ratio
22. The Pentagon
23. The 17-Sided Regular Polygon
24. Fifty
25. Doubling the Cube
26. Squaring the Circle
27. Archimedes Measures the Circle
28. The Digit Hunters
29. Conics
30. 3/3=4/4
31. The Harmonic Series
32. Ceva's Theorem
33. e
34. Spira Mirabilis
35. The Cycloid
36. Epicycloids and Hypocycloids
37. The Euler Line
38. Inversion
39. Steiner's Porism
40. Line Designs
41. The French Connection
42. The Audible Made Visible
43. Lissajous Figures
44. Symmetry I
45. Symmetry II
46. The Reuleaux Triangle
47. Pick's Theorem
48. Morley's Theorem
49. The Snowflake Curve
50. Sierpinski's Triangle
51. Beyond Infinity
Appendix: Proofs of Selected Theorems Mentioned in This Book
Bibliography
Index
Notes:
Description based on online resource; title from PDF title page (publisher's Web site, viewed 23. Mai 2019)
Contributor:
Jost, Eugen, author.
De Gruyter.
ISBN:
9781400848331
OCLC:
984686759
Publisher Number:
10.1515/9781400848331 doi
Access Restriction:
Restricted for use by site license.