Methods of Geometry

by
Edition: 1st
Format: Hardcover
Pub. Date: 2000-01-10
Publisher(s): Wiley-Interscience
  • Free Shipping Icon

    Free Shipping on All Orders!

    *excludes Marketplace items.

List Price: $226.07

Buy New

Usually Ships in 8 - 10 Business Days.
$212.38

Rent Textbook

Select for Price
There was a problem. Please try again later.

Used Textbook

We're Sorry
Sold Out

eTextbook

We're Sorry
Not Available

How Marketplace Works:

  • This item is offered by an independent seller and not shipped from our warehouse
  • Item details like edition and cover design may differ from our description; see seller's comments before ordering.
  • Sellers much confirm and ship within two business days; otherwise, the order will be cancelled and refunded.
  • Marketplace purchases cannot be returned to eCampus.com. Contact the seller directly for inquiries; if no response within two days, contact customer service.
  • Additional shipping costs apply to Marketplace purchases. Review shipping costs at checkout.

Summary

An Instructor's Manual presenting detailed solutions to all the problems in the book is available upon request from the Wiley editorial department.

Author Biography

JAMES T. SMITH, PhD, is Professor of Mathematics at San Francisco State University.

Table of Contents

Preface xi
About the author xv
Introduction
1(18)
Episodes
2(7)
Advanced geometry
9(4)
This book
13(3)
Reading about geometry
16(1)
Projects
17(2)
Foundations
19(34)
Geometry as applied mathematics
20(3)
Need for rigor
23(3)
Axiomatic method
26(3)
Euclid's Elements
29(4)
Coordinate geometry
33(2)
Foundation problem
35(2)
Parallel axiom
37(2)
Firm foundations
39(3)
Geometry as pure mathematics
42(8)
Exercises and projects
50(3)
Elementary Euclidean geometry
53(74)
Incidence geometry
55(2)
Ruler axiom and its consequences
57(3)
Pasch's axiom and the separation theorems
60(4)
Angles and the protractor axioms
64(3)
Congruence
67(4)
Perpendicularity
71(5)
Parallel axiom and related theorems
76(5)
Area and Pythagoras' theorem
81(8)
Similarity
89(3)
Polyhedral volume
92(8)
Coordinate geometry
100(6)
Circles and spheres
106(4)
Arcs and trigonometric functions
110(9)
π
119(8)
Exercises on elementary geometry
127(30)
Exercises on the incidence and ruler axioms
128(2)
Exercises related to Pasch's axiom
130(3)
Exercises on congruence and perpendicularity
133(2)
Exercises involving the parallel axiom
135(2)
Exercises on similarity and Pythagoras' theorem
137(3)
Exercises on circles and spheres, part 1
140(3)
Exercises on area
143(3)
Exercises on volume
146(2)
Exercises on circles and spheres, part 2
148(3)
Exercises on coordinate geometry
151(6)
Some triangle and circle geometry
157(70)
Four concurrence theorems
158(4)
Menelaus' theorem
162(3)
Desargues' theorem
165(6)
Ceva's theorem
171(6)
Trigonometry
177(9)
Vector products
186(7)
Centroid
193(3)
Orthocenter
196(3)
Incenter and excenters
199(5)
Euler line and Feuerbach circle
204(7)
Exercises
211(16)
Plane isometries and similarities
227(68)
Transformations
232(8)
Isometries
240(7)
Reflections
247(4)
Translations
251(3)
Rotations
254(4)
Structure theorem
258(3)
Glide reflections
261(1)
Isometries and orthogonal matrices
262(5)
Classifying isometries
267(9)
Similarities
276(5)
Exercises
281(14)
Three dimensional isometries and similarities
295(32)
Isometries
296(6)
Reflections
302(4)
Translations and rotations
306(3)
Glide and rotary reflections
309(3)
Classifying isometries
312(3)
Similarities
315(2)
Exercises
317(10)
Symmetry
327(96)
Polygonal symmetry
336(8)
Friezes
344(11)
Wallpaper ornaments
355(26)
Polyhedra
381(26)
Exercises
407(16)
Appendix A Equivalence relations 423(2)
Appendix B Least upper bound principle 425(4)
Appendix C Vector and matrix algebra 429(14)
Bibliography 443(20)
Index 463

An electronic version of this book is available through VitalSource.

This book is viewable on PC, Mac, iPhone, iPad, iPod Touch, and most smartphones.

By purchasing, you will be able to view this book online, as well as download it, for the chosen number of days.

Digital License

You are licensing a digital product for a set duration. Durations are set forth in the product description, with "Lifetime" typically meaning five (5) years of online access and permanent download to a supported device. All licenses are non-transferable.

More details can be found here.

A downloadable version of this book is available through the eCampus Reader or compatible Adobe readers.

Applications are available on iOS, Android, PC, Mac, and Windows Mobile platforms.

Please view the compatibility matrix prior to purchase.