0845 474 4572
info@eurospanbookstore.com

Temporarily out of stock: usually despatched in 10-14 days

Geometry

The Line and the Circle

Maureen T. Carroll (author) Elyn Rykken (author)

ISBN: 9781470448431

Publication Date: Mar 2019

Format: Hardback

Also available as: Paperback   Paperback  

Starting with Euclid's Elements, this book connects topics in Euclidean and non-Euclidean geometry in an intentional and meaningful way, with historical context. The line and the circle are the principal characters driving the narrative. In every geometry considered these two objects are analysed and highlighted.
£111.00

Temporarily out of stock: usually despatched in 10-14 days

  • Full Description
  • More Information
  • Table of Contents
  • Author Biography
  • Customer Reviews
Geometry: The Line and the Circle is an undergraduate text with a strong narrative that is written at the appropriate level of rigor for an upper-level survey or axiomatic course in geometry. Starting with Euclid's Elements, the book connects topics in Euclidean and non-Euclidean geometry in an intentional and meaningful way, with historical context.

The line and the circle are the principal characters driving the narrative. In every geometry considered--which include spherical, hyperbolic, and taxicab, as well as finite affine and projective geometries--these two objects are analyzed and highlighted. Along the way, the reader contemplates fundamental questions such as: What is a straight line? What does parallel mean? What is distance? What is area?

There is a strong focus on axiomatic structures throughout the text. While Euclid is a constant inspiration and the Elements is repeatedly revisited with substantial coverage of Books I, II, III, IV, and VI, non-Euclidean geometries are introduced very early to give the reader perspective on questions of axiomatics. Rounding out the thorough coverage of axiomatics are concluding chapters on transformations and constructability. The book is compulsively readable with great attention paid to the historical narrative and hundreds of attractive problems.
Imprint MAA Press
Pages 480
Dimensions 254 x 178
Date Published 30 Mar 2019
Publisher American Mathematical Society
Series MAA Textbooks
Series Part 44
Subject/s Topology   Geometry  
  • The line and the circle
  • Euclid's Elements: Definitions and axioms
  • Book I of Euclid's Elements: Neutral geometry
  • Spherical geometry
  • Taxicab geometry
  • Hilbert and Godel
  • Book I: Non-Neutral geometry
  • Book II: Geometric algebra
  • Book VI: Similarity
  • Book III: Circles
  • Book IV: Circles & polygons
  • Models for the hyperbolic plane
  • Axiomatic hyperbolic geometry
  • Finite geometries
  • Isometries
  • Constructibility
  • Appendix A: Euclid's definitions and axioms
  • Appendix B: Euclid's propositions
  • Appendix C: Visual guide to Euclid's propositions
  • Appendix D: Euclid's proofs
  • Hilbert's axioms for plane Euclidean geometry
  • Credits, permissions and acknowledgments
  • Bibliography
  • Notation index
  • Index.
Maureen T. Carroll, University of Scranton, PA.

Elyn Rykken, Muhlenberg College, Allentown, PA.

Write Your Own Review

Only registered users can write reviews. Please, log in or register

Post your comment

Eurospan Bookstore