
Revolutions of Geometry, Solutions Manual to Accompany Revolutions in Geometry
Michael L. O'Leary(Author)
Wiley (Publisher)
1st Edition
Published on 21. September 2010
Book
Paperback/Softback
160 pages
978-0-470-16756-4 (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.
More details
Series
Language
English
Place of publication
New York
United States
Target group
College/higher education
Product notice
Paperback (trade)
Unsewn / adhesive bound
Dimensions
Height: 234 mm
Width: 156 mm
Thickness: 9 mm
Weight
257 gr
ISBN-13
978-0-470-16756-4 (9780470167564)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Person
Michael L. O'Leary, PhD, is Associate Professor of Mathematics at the College of DuPage in Glenn Ellyn, Illinois.?He is a Member of the American Mathematical Society, the Canadian Society for the History and Philosophy of Mathematics, and the Mathematical Society of America.?He received his PhD in Mathematics from the University of California, Irvine in 1994.
Content
Preface.
Acknowledgments.
PART I FOUNDATIONS.
1 The First Geometers.
2 Thales.
3 Plato and Aristotle.
PART II THE GOLDEN AGE.
4 Pythagoras.
5 Euclid.
6 Archimedes.
PART III ENLIGHTENMENT.
7 Francois Viete.
8 Rene Descartes.
9 Gerard Desargues.
PART IV A STRANGE NEW WORLD.
10 Giovanni Saccheri.
11 Johann Lambert.
12 Nicolai Lobachevski and Janos Bolyai.
PART V NEW DIRECTIONS.
13 Bernhard Riemann.
14 Jean-Victor Poncelet.
15 Felix Klein.
References.
Index.
Acknowledgments.
PART I FOUNDATIONS.
1 The First Geometers.
2 Thales.
3 Plato and Aristotle.
PART II THE GOLDEN AGE.
4 Pythagoras.
5 Euclid.
6 Archimedes.
PART III ENLIGHTENMENT.
7 Francois Viete.
8 Rene Descartes.
9 Gerard Desargues.
PART IV A STRANGE NEW WORLD.
10 Giovanni Saccheri.
11 Johann Lambert.
12 Nicolai Lobachevski and Janos Bolyai.
PART V NEW DIRECTIONS.
13 Bernhard Riemann.
14 Jean-Victor Poncelet.
15 Felix Klein.
References.
Index.