Beautiful Geometry [NOOK Book]

Overview

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 acclaimed math historian Eli Maor, this unique celebration of geometry covers ...

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Beautiful Geometry

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NOOK Book (eBook - Course Book)
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Overview

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 acclaimed 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 and beautiful branches of mathematics.

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Editorial Reviews

From the Publisher
"Mathematicians sometimes compare well-constructed equations to works of art. To them, patterns in numbers hold a beauty at least equal to that found in any sonnet or sculpture. In this book, Maor, a math historian, teams with Jost, an artist, to reveal some of that mathematical majesty using jewel-like visualizations of classic geometric theorems. . . . The result is a book that stimulates the mind as well as the eye."—Lee Billings, Scientific American

"The combination of art and exposition was quite effective. The writing is accessible to most reasonably well-educated laypeople, and I imagine that many such people would derive considerable pleasure dipping into this attractive and interesting book."—Mark Hunacek, MAA Reviews

"Eli Maor's lively writing benefits in equal parts from the geometry of ancient Greece and the eye-popping images conjured by artist Eugen Jost."—Bill Cannon, Scientist's Bookshelf

"Graphic illustrations serve as both beautiful abstract art and helpful explanations in this overview of geometric theorems and patterns."—Science News

"[The book] achieves its aim to demonstrate that there is visual beauty in Mathematics. I heartily recommend it for anyone to at least page it through, and for anyone interested in geometry to read, especially mathematics students who want to broaden their horizons and teachers of mathematics at school level."—Konrad Swanepoel, LSE Review of Books

"[A] book where art and mathematics are in perfect harmony. . . . [A]nyone with any interest in visual mathematics will love this book, which, given the quality of the reproductions, is very attractively priced. It will inspire interest in a wide variety of mathematics, and should be a compulsory purchase for sixth-form libraries."—Tony Mann, Times Higher Education

"A good-looking, large-format book suitable for the coffee table, but with lots of mathematical ideas packed in among the colorful illustrations. . . . [A] handsome book for browsing and for some deep thought, and would be a superb gift for anyone (especially a young person) who has interest in mathematics."—Rob Hardy, Columbus Dispatch

"It is a handsome book for browsing and for some deep thought, and would be a superb gift for anyone (especially a young person) who has interest in mathematics."—Rob Hardy, Dispatch

"The book by Maor and Jost should be given to everyone—young or old—embarking on the study of mathematics or anyone teaching mathematics. The book will act as a source of inspiration and as a reminder of why it is that mathematics has fascinated the human race for millennia."—Henrik Jeldtoft Jensen, LMS Newsletter

"The content is accessible to anyone with even a high school course in geometry. The writing is very clear."—Choice

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Product Details

  • ISBN-13: 9781400848331
  • Publisher: Princeton University Press
  • Publication date: 1/19/2014
  • Sold by: Barnes & Noble
  • Format: eBook
  • Edition description: Course Book
  • Pages: 208
  • Sales rank: 1,358,203
  • File size: 16 MB
  • Note: This product may take a few minutes to download.

Meet the Author

Eli Maor is the author of "To Infinity and Beyond", "e: The Story of a Number", "Trigonometric Delights", "Venus in Transit", and "The Pythagorean Theorem: A 4,000-Year History" (all Princeton), and has taught the history of mathematics at Loyola University Chicago. Eugen Jost is a Swiss artist whose work is strongly influenced by mathematics.
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Table of Contents

Prefaces ix
1. Thales of Miletus 1
2. Triangles of Equal Area 3
3. Quadrilaterals 6
4. Perfect Numbers and Triangular Numbers 9
5. The Pythagorean Theorem I 13
6. The Pythagorean Theorem II 16
7. Pythagorean Triples 20
8. The Square Root of 2 23
9. A Repertoire of Means 26
10. More about Means 29
11. Two Theorems from Euclid 32
12. Different, yet the Same 36
13. One Theorem, Three Proofs 39
14. The Prime Numbers 42
15. Two Prime Mysteries 45
16. 0.999. . . = ? 49
17. Eleven 53
18. Euclidean Constructions 56
19. Hexagons 59
20. Fibonacci Numbers 62
21. The Golden Ratio 66
22. The Pentagon 70
23. The 17-Sided Regular Polygon 73
24. Fifty 77
25. Doubling the Cube 81
26. Squaring the Circle 84
27. Archimedes Measures the Circle 88
28. The Digit Hunters 91
29. Conics 94
30. 3/4 = 4/4 99
31. The Harmonic Series 102
32. Ceva's Theorem 105
33. e 108
34. Spira Mirabilis 112
35. The Cycloid 116
36. Epicycloids and Hypocycloids 119
37. The Euler Line 123
38. Inversion 126
39. Steiner's Porism 130
40. Line Designs 134
41. The French Connection 138
42. The Audible Made Visible 141
43. Lissajous Figures 143
44. Symmetry I 146
45. Symmetry II 149
46. The Reuleaux Triangle 154
47. Pick's Theorem 157
48. Morley's Theorem 160
49. The Snowflake Curve 164
50. Sierpinski's Triangle 167
51. Beyond Infinity 170
APPENDIX: Proofs of Selected Theorems Mentioned in This Book 175
Quadrilaterals 175
Pythagorean Triples 176
A Proof That √2 Is Irrational 176
Euclid's Proof of the Infinitude of the Primes 176
The Sum of a Geometric Progression 177
The Sum of the First n Fibonacci Numbers 177
Construction of a Regular Pentagon 177
Ceva's Theorem 179
Some Properties of Inversion 180
Bibliography 183
Index 185
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