The Resource Geometry : plane and fancy, David A. Singer
Geometry : plane and fancy, David A. Singer
Resource Information
The item Geometry : plane and fancy, David A. Singer represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Waubonsee Community College.This item is available to borrow from 1 library branch.
Resource Information
The item Geometry : plane and fancy, David A. Singer represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Waubonsee Community College.
This item is available to borrow from 1 library branch.
 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 wellknown 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
 Language
 eng
 Extent
 ix, 159 pages
 Contents

 Ch. 1. Euclid and NonEuclid. 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 NonEuclidean 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 GaussBonnet Theorem
 Ch. 6. Geometry of Space. 6.1. A Hint of Riemannian Geometry. 6.2. What is Curvature? 6.3. From Euclid to Einstein
 Isbn
 9780387983066
 Label
 Geometry : plane and fancy
 Title
 Geometry
 Title remainder
 plane and fancy
 Statement of responsibility
 David A. Singer
 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 wellknown 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
 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
 NietEuclidische meetkunde
 Topologia
 Geometria
 Nichteuklidische Geometrie
 Géométrie
 Label
 Geometry : plane and fancy, David A. Singer
 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 NonEuclid. 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 NonEuclidean 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 GaussBonnet 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
 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 NonEuclid. 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 NonEuclidean 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 GaussBonnet 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
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.waubonsee.edu/portal/GeometryplaneandfancyDavidA./fnZGq6c74w/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.waubonsee.edu/portal/GeometryplaneandfancyDavidA./fnZGq6c74w/">Geometry : plane and fancy, David A. Singer</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.waubonsee.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.waubonsee.edu/">Waubonsee Community College</a></span></span></span></span></div>