Cantitate/Preț
Produs

Geometry: Plane and Fancy: Undergraduate Texts in Mathematics

Autor David A. Singer
en Limba Engleză Hardback – 9 ian 1998
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 lead to interesting and different patterns and symmetries. In the process of examining geometric objects, the author incorporates the algebra of complex (and hypercomplex) numbers, some graph theory, and some topology. 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. While many concepts introduced are advanced, the mathematical techniques are not. Singer's lively exposition and off-beat approach will greatly appeal both to students and mathematicians. Interesting problems are nicely scattered throughout the text. The contents of the book can be covered in a one-semester course, perhaps as a sequel to a Euclidean geometry course.
Citește tot Restrânge

Toate formatele și edițiile

Toate formatele și edițiile Preț Express
Paperback (1) 38121 lei  6-8 săpt.
  Springer – 28 sep 2012 38121 lei  6-8 săpt.
Hardback (1) 39008 lei  6-8 săpt.
  Springer – 9 ian 1998 39008 lei  6-8 săpt.

Din seria Undergraduate Texts in Mathematics

Preț: 39008 lei

Nou

Puncte Express: 585

Preț estimativ în valută:
7465 7746$ 6239£

Carte tipărită la comandă

Livrare economică 15-29 martie

Preluare comenzi: 021 569.72.76

Specificații

ISBN-13: 9780387983066
ISBN-10: 0387983066
Pagini: 162
Ilustrații: X, 162 p.
Dimensiuni: 155 x 235 x 15 mm
Greutate: 0.46 kg
Ediția:1998
Editura: Springer
Colecția Springer
Seria Undergraduate Texts in Mathematics

Locul publicării:New York, NY, United States

Public țintă

Lower undergraduate

Cuprins

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 Poincaré disc and Isometries of the Hyperbolic Plane.- 3.2 Tessellations of the Hyperbolic Plane.- 3.3 Complex numbers, Möbius 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.

Caracteristici

This book offers students a fascinating tour through parts of geometry they are unlikely to see in the rest of their studies. Lively exposition and off-beat approach. Covers many topics in geometry not found in other introductions to the subject. No calculus is assumed; book written at an elementary level. Interesting problems are nicely scattered throughout.