Solutions manual to accompany, Revolutions of geometry
著者
書誌事項
Solutions manual to accompany, Revolutions of geometry
Wiley, c2010
- : pbk
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注記
This book is solutions manual to accompany "Revolutions of geometry, Wiley , c2010<BB01580235>"
内容説明・目次
内容説明
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.
目次
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.
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