
Revolutions of Geometry
Michael L. O'Leary(Author)
Wiley (Publisher)
Published on 5. March 2010
Book
Hardback
608 pages
978-0-470-16755-7 (ISBN)
Description
Based on the premise that in order to write proofs, one needs to read finished proofs as well as study both their logic and grammar, Revolutions in Geometry depicts how to write basic proofs in various fields of geometry. This accessible text for junior and senior undergraduates explains the general development of geometry throughout time, discusses the involvement of its major contributors, and places the proofs into the context of geometry's history to illustrate how crucial proof writing is to the job of a mathematician.
Reviews / Votes
"An excellent supplemental resource or main textbook for an overview of mathematics course for upper-level undergraduate and graduate students." (Choice, October 2010).More details
Product info
gebunden
Series
Edition
1. Auflage
Language
English
Place of publication
New York
United States
Target group
College/higher education
Product notice
sewn/stitched
Cloth over boards
Illustrations
Graphs: 100 B&W, 0 Color
Dimensions
Height: 240 mm
Width: 161 mm
Thickness: 37 mm
Weight
1067 gr
ISBN-13
978-0-470-16755-7 (9780470167557)
Schweitzer Classification
Other editions
Additional editions

Person
Michael O'Leary, PhD, is Professor of Mathematics at the College of DuPage. He received his PhD in mathematics from the University of California, Irvine in 1994.
Content
Preface xi
Acknowledgements xiii
Part I Foundations
1 The First Geometers 3
2 Thales 27
3 Plato and Aristotle 53
Part II The Golden Age
4 Pythagoras 87
5 Euclid 123
6 Archimedes 173
Part III Enlightenment
7 Francois Viete 227
8 Rene Descartes 267
9 Gerard Desargues 293
Part IV A Strange New World
10 Giovanni Saccheri 323
11 Johann Lambert 353
12 Nicolai Lobachevski and Janos Bolyai 393
Part V New Directions
13 Bernhard Riemann 443
14 Jean-Victor Poncelet 483
15 Felix Klein 519
References 565
Index 573
Acknowledgements xiii
Part I Foundations
1 The First Geometers 3
2 Thales 27
3 Plato and Aristotle 53
Part II The Golden Age
4 Pythagoras 87
5 Euclid 123
6 Archimedes 173
Part III Enlightenment
7 Francois Viete 227
8 Rene Descartes 267
9 Gerard Desargues 293
Part IV A Strange New World
10 Giovanni Saccheri 323
11 Johann Lambert 353
12 Nicolai Lobachevski and Janos Bolyai 393
Part V New Directions
13 Bernhard Riemann 443
14 Jean-Victor Poncelet 483
15 Felix Klein 519
References 565
Index 573