Volume: 69; 2011; 227 pp; Softcover
Print ISBN: 978-1-4704-5640-5
Product Code: SPEC/69
List Price: $38.00
AMS Member Price: $28.50
MAA Member Price: $28.50
Electronic ISBN: 978-0-88385-979-7
Product Code: SPEC/69.E
List Price: $38.00
AMS Member Price: $28.50
MAA Member Price: $28.50
Lobachevski Illuminated
Share this pageSeth Braver
MAA Press: An Imprint of the American Mathematical Society
Recipient of the Mathematical Association of America's
Beckenbach Book Prize in 2015!
Lobachevski Illuminated provides an
historical introduction to non-Euclidean geometry. Within its pages,
readers will be guided step-by-step through a new translation of
Lobachevski's groundbreaking book, The Theory of
Parallels.
Extensive commentary situates Lobachevski's
work in its mathematical, historical, and philosophical context, thus
granting readers a vision of the mysterious and beautiful world of
non-Euclidean geometry as seen through the eyes of one of its
discoverers. Although Lobachevski's 170-year-old text is challenging
to read on its own, Seth Braver's carefully arranged
“illuminations” render this classic accessible to any
modern reader (student, professional, or layman) undaunted by high
school mathematics.
Reviews & Endorsements
Seth Braver doesn't just interpret the existing contents of Lobachevski's Theory of Parallels, but he continually adds to it by way of making it more mathematically coherent. In this respect, his achievement is first rate and it is equalled by his eloquently inspiring literary style. … As such, this is a masterly addition to the literature on the history of geometry.
-- Peter Ruane, MAA Reviews
Table of Contents
Lobachevski Illuminated
- Cover cover11
- Contents ix10
- Introduction xi12
- A Note to the Reader xvii18
- Acknowledgements xix20
- Theory of Parallels — Lobachevski’s Introduction 122
- Theory of Parallels — Preliminary Theorems (1–15) 324
- Theory of Parallels 16 1132
- Theory of Parallels 17 2344
- Theory of Parallels 18 2647
- Theory of Parallels 19 2849
- Theory of Parallels 20 3556
- Theory of Parallels 21 4465
- Theory of Parallels 22 4667
- Theory of Parallels 23 5071
- Theory of Parallels 24 5778
- Theory of Parallels 25 6081
- Theory of Parallels 26 6788
- Theory of Parallels 27 7394
- Theory of Parallels 28 79100
- Theory of Parallels 29 84105
- Theory of Parallels 30 87108
- Theory of Parallels 31 92113
- Theory of Parallels 32 103124
- Theory of Parallels 33 108129
- Theory of Parallels 34 122143
- Theory of Parallels 35 139160
- Theory of Parallels 36 166187
- Theory of Parallels 37 177198
- Bibliography 197218
- Appendix: Nicolai Ivanovich Lobachevski’s Theory of Parallels 199220
- Index 223244
- About the Author 227248
- Back cover 229250