Revolutions of Geometry

Name: Revolutions of Geometry
Price: 129.44 USD
Availability: InStock
ISBN: 9780470167557

ISBN-10: 0470167556

ISBN-13: 9780470167557

Edition: 2010

Authors: Michael L. O'Leary

List price: $276.95

This item qualifies for FREE shipping.

30 day, 100% satisfaction guarantee!

Buy new: $129.44

Marketplace

2 new & used from $150.55

what's this?

Rush Rewards U
Members Receive:

You have reached 400 XP and carrot coins. That is the daily max!

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.

Book details

List price: $276.95
Copyright year: 2010
Publisher: John Wiley & Sons, Limited
Publication date: 1/26/2010
Binding: Hardcover
Pages: 608
Size: 6.50" wide x 9.60" long x 1.40" tall
Weight: 2.134
Language: English



Preface


Acknowledgments



Foundations



The First Geometers



Egypt



Babylon



China



Thales



The Axiomatic System



Deductive Logic



Proof Writing



Plato and Aristotle



Form



Categorical Propositions



Categorical Syllogisms



Figures



The Golden Age



Pythagoras



Number Theory



The Pythagorean Theorem



Archytas



The Golden Ratio



Euclid



The Elements



Constructions



Triangles



Parallel Lines



Circles



The Pythagorean Theorem Revisited



Archimedes



The Archimedean Library



The Method of Exhaustion



The Method



Preliminaries to the Proof



The Volume of a Sphere



Enlightenment







The Analytic Art



Three Problems



Conic Sections



The Analytic Art in Two Variables







Compasses



Method



Analytic Geometry







Projections



Points at Infinity



Theorems of Desargues and Menelaus



Involutions



A Strange New World







The Question of Parallels



The Three Hypotheses



Conclusions for Two Hypotheses



Properties of Parallel Lines



Parallelism Redefined







The Three Hypotheses Revisited



Polygons



Omega Triangles



Pure Reason







Parallel Fundamentals



Horocycles



The Surface of a Sphere



Horospheres



Evaluating the Pi Function



New Directions







Metric Spaces



Topological Spaces



Stereographic Projection



Consistency of Non-Euclidean Geometry







The Projective Plane



Duality



Perspectivity



Homogeneous Coordinates







Group Theory



Transformation Groups



The Principal Group



Isometries of the Plane



Consistency of Euclidean Geometry


References


Index