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Axiomatic Geometry by John M Lee: New
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eBay item number:404737792887
Item specifics
- Condition
- Brand New: A new, unread, unused book in perfect condition with no missing or damaged pages. See all condition definitionsopens in a new window or tab
- Book Title
- Axiomatic Geometry
- Publication Date
- 2013-09-18
- Pages
- 469
- ISBN
- 9780821884782
About this product
Product Identifiers
Publisher
American Mathematical Society
ISBN-10
0821884786
ISBN-13
9780821884782
eBay Product ID (ePID)
234255259
Product Key Features
Number of Pages
470 Pages
Publication Name
Axiomatic Geometry
Language
English
Subject
Geometry / General, General
Publication Year
2013
Type
Textbook
Subject Area
Mathematics
Series
Pure and Applied Undergraduate Texts
Format
Hardcover
Dimensions
Item Height
1.2 in
Item Weight
35.2 Oz
Item Length
10.2 in
Item Width
7.2 in
Additional Product Features
Intended Audience
Scholarly & Professional
LCCN
2012-043438
Dewey Edition
23
Series Volume Number
21
Illustrated
Yes
Dewey Decimal
516
Table Of Content
Preface Euclid Incidence geometry Axioms for plane geometry Angles Triangles Models of neutral geometry Perpendicular and parallel lines Polygons Quadrilaterals The Euclidean parallel postulate Area Similarity Right triangles Circles Circumference and circular area Compass and straightedge constructions The parallel postulate revisited Introduction to hyperbolic geometry Parallel lines in hyperbolic geometry Epilogue: Where do we go from here? Hilbert's axioms Birkhoff's postulates The SMSG postulates The postulates used in this book The language of mathematics Proofs Sets and functions Properties of the real numbers Rigid motions: Another approach References Index
Synopsis
The story of geometry is the story of mathematics itself: Euclidean geometry was the first branch of mathematics to be systematically studied and placed on a firm logical foundation. This book tells the story of how the axiomatic method has progressed from Euclid's time to ours, as a way of understanding what mathematics is, how we read and evaluate mathematical arguments, and why mathematics has achieved the level of certainty it has., The story of geometry is the story of mathematics itself: Euclidean geometry was the first branch of mathematics to be systematically studied and placed on a firm logical foundation, and it is the prototype for the axiomatic method that lies at the foundation of modern mathematics. It has been taught to students for more than two millennia as a model of logical thought. This book tells the story of how the axiomatic method has progressed from Euclid's time to ours, as a way of understanding what mathematics is, how we read and evaluate mathematical arguments, and why mathematics has achieved the level of certainty it has. It is designed primarily for advanced undergraduates who plan to teach secondary school geometry, but it should also provide something of interest to anyone who wishes to understand geometry and the axiomatic method better. It introduces a modern, rigorous, axiomatic treatment of Euclidean and (to a lesser extent) non-Euclidean geometries, offering students ample opportunities to practice reading and writing proofs while at the same time developing most of the concrete geometric relationships that secondary teachers will need to know in the classroom.
LC Classification Number
QA481.L44 2013
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- a***g (434)- Feedback left by buyer.Past monthVerified purchaseItem arrived in excellent condition without incident. No scratches or damage to the disc or jewel case. The vendor is most appreciated, thanks!
Seller feedback (525,566)
- eBay automated Feedback- Feedback left by buyer.Past monthOrder completed successfully – tracked and on time
- eBay automated Feedback- Feedback left by buyer.Past monthOrder completed successfully – tracked and on time
- a***g (434)- Feedback left by buyer.Past monthVerified purchaseItem arrived in excellent condition without incident. No scratches or damage to the disc or jewel case. The vendor is most appreciated, thanks!