Coverart for item
The Resource Geometry : plane and fancy, David A. Singer

Geometry : plane and fancy, David A. Singer

Label
Geometry : plane and fancy
Title
Geometry
Title remainder
plane and fancy
Statement of responsibility
David A. Singer
Creator
Subject
Language
eng
Summary
Geometry: Plane and Fancy offers a fascinating tour through parts of geometry that students are unlikely to see in the rest of their studies while, at the same time, anchoring their excursions to the well-known parallel postulate of Euclid. The author shows how alternatives to Euclid's fifth postulate lead to interesting and different patterns and symmetries. In the process of examining geometric objects, the author incorporates some graph theory, some topology, and the algebra of complex (and hypercomplex) numbers. Nevertheless, the book has only mild prerequisites. Readers are assumed to have had a course in Euclidean geometry (including some analytic geometry and some algebra) at the high school level. Although many concepts introduced are advanced, the mathematical techniques are not
Member of
Cataloging source
OKX
http://library.link/vocab/creatorName
Singer, David A
Dewey number
516
Illustrations
illustrations
Index
index present
LC call number
QA445
LC item number
.S55 1997
Literary form
non fiction
Nature of contents
bibliography
Series statement
Undergraduate texts in mathematics
http://library.link/vocab/subjectName
  • Geometry
  • Geometry
  • Niet-Euclidische meetkunde
  • Topologia
  • Geometria
  • Nichteuklidische Geometrie
  • Géométrie
Label
Geometry : plane and fancy, David A. Singer
Link
http://www.gbv.de/dms/ilmenau/toc/231194706.PDF
Instantiates
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Ch. 1. Euclid and Non-Euclid. 1.1. The Postulates: What They Are and Why. 1.2. The Parallel Postulate and Its Descendants. 1.3. Proving the Parallel Postulate -- Ch. 2. Tiling the Plane with Regular Polygons. 2.1. Isometries and Transformation Groups. 2.2. Regular and Semiregular Tessellations. 2.3. Tessellations That Aren't, and Some Fractals. 2.4. Complex Numbers and the Euclidean Plane -- Ch. 3. Geometry of the Hyperbolic Plane. 3.1. The Poincare disc and Isometries of the Hyperbolic Plane. 3.2. Tessellations of the Hyperbolic Plane. 3.3. Complex numbers, Mobius Transformations, and Geometry -- Ch. 4. Geometry of the Sphere. 4.1. Spherical Geometry as Non-Euclidean Geometry. 4.2. Graphs and Euler's Theorem. 4.3. Tiling the Sphere: Regular and Semiregular Polyhedra. 4.4. Lines and Points: The Projective Plane and Its Cousin -- Ch. 5. More Geometry of the Sphere. 5.1. Convex Polyhedra are Rigid: Cauchy's Theorem. 5.2. Hamilton, Quaternions, and Rotating the Sphere. 5.3. Curvature of Polyhedra and the Gauss-Bonnet Theorem -- Ch. 6. Geometry of Space. 6.1. A Hint of Riemannian Geometry. 6.2. What is Curvature? 6.3. From Euclid to Einstein
Control code
ocm39031893
Dimensions
24 cm.
Extent
ix, 159 pages
Isbn
9780387983066
Lccn
97026383
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
  • (Sirsi) o39031893
  • (OCoLC)39031893
Label
Geometry : plane and fancy, David A. Singer
Link
http://www.gbv.de/dms/ilmenau/toc/231194706.PDF
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Ch. 1. Euclid and Non-Euclid. 1.1. The Postulates: What They Are and Why. 1.2. The Parallel Postulate and Its Descendants. 1.3. Proving the Parallel Postulate -- Ch. 2. Tiling the Plane with Regular Polygons. 2.1. Isometries and Transformation Groups. 2.2. Regular and Semiregular Tessellations. 2.3. Tessellations That Aren't, and Some Fractals. 2.4. Complex Numbers and the Euclidean Plane -- Ch. 3. Geometry of the Hyperbolic Plane. 3.1. The Poincare disc and Isometries of the Hyperbolic Plane. 3.2. Tessellations of the Hyperbolic Plane. 3.3. Complex numbers, Mobius Transformations, and Geometry -- Ch. 4. Geometry of the Sphere. 4.1. Spherical Geometry as Non-Euclidean Geometry. 4.2. Graphs and Euler's Theorem. 4.3. Tiling the Sphere: Regular and Semiregular Polyhedra. 4.4. Lines and Points: The Projective Plane and Its Cousin -- Ch. 5. More Geometry of the Sphere. 5.1. Convex Polyhedra are Rigid: Cauchy's Theorem. 5.2. Hamilton, Quaternions, and Rotating the Sphere. 5.3. Curvature of Polyhedra and the Gauss-Bonnet Theorem -- Ch. 6. Geometry of Space. 6.1. A Hint of Riemannian Geometry. 6.2. What is Curvature? 6.3. From Euclid to Einstein
Control code
ocm39031893
Dimensions
24 cm.
Extent
ix, 159 pages
Isbn
9780387983066
Lccn
97026383
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
  • (Sirsi) o39031893
  • (OCoLC)39031893

Library Locations

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