Geometry: Plane and Fancy - Undergraduate Texts in Mathematics - David A. Singer - Books - Springer-Verlag New York Inc. - 9781461268376 - September 28, 2012
In case cover and title do not match, the title is correct

David A. Singer
Geometry: Plane and Fancy - Undergraduate Texts in Mathematics Softcover Reprint of the Original 1st Ed. 1998 edition

Price
HK$ 418
excl. VAT

Ordered from remote warehouse

Expected to be ready for shipping Jul 14 - 20

Our customers say:

14-day return policy in accordance with European consumer protection law
Top ranking on Trustpilot
Add to your iMusic wish list

Not rated yet

Description for Sales People: GEOMETRY: Plane and Fancy offers students a fascinating tour through parts of geometry they 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 leads to interesting and different patterns and symmetries. Table of Contents: 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.- 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.- 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.- 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.- 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.- 6 Geometry of Space.- 6.1 A Hint of Riemannian Geometry.- 6.2 What Is Curvature?.- 6.3 From Euclid to Einstein.- References."

Contributor Bio:  Singer, David A Singer-Case Western Reserve University, Cleveland, OH

162 pages, biography

Media Books     Paperback Book   (Book with soft cover and glued back)
Released September 28, 2012
ISBN13 9781461268376
Publishers Springer-Verlag New York Inc.
Pages 162
Dimensions 156 × 234 × 9 mm   ·   254 g
Language English  

Mere med samme udgiver

See all of David A. Singer ( e.g. Paperback Book )