Experiencing Geometry

Euclidean and Non-Euclidean with History

David W. Henderson, Daina Taimina

392 pages, parution le 21/09/2004 (3^eme édition)

Ajouter à une liste

Indisponible

Résumé

For junior/senior level course in Geometry.

The distinctive approach of Henderson and Taimina's text stimulates students to develop a broader, deeper understanding of mathematics through active experience-including discovery, discussion, writing fundamental ideas and learning about the history of those ideas. A series of interesting problems (ranging from easy to challenging) encourage students to gather and discuss their reasonings and understanding. This is the only undergraduate text that pays attention to geometric intuition, student cognitive development, and rigorous mathematics; and that includes a broad vision of geometry that leads to discussion of four strands in the history of geometry and to an understanding of the possible shapes of the physical universe.

L'auteur - David W. Henderson

David W. Henderson, Cornell University

L'auteur - Daina Taimina

Daina Taimina, Cornell University

Sommaire

Historical Strands of Geometry
What is Straight?
Straightness on Spheres
What Is an Angle?
Straightness on Cylinders and Cones
Straightness on Hyperbolic Planes
Triangles and Congruencies
Area and Holonomy
Parallel Transport
SSS, ASS, SAA, and AAA
Parallel Postulates
Isometries and Patterns
Dissection Theory
Square Roots, Pythagoras and Similar Triangles
Projections of a Sphere onto a Plane
Circles
Inversions in Circles
Projections (Models) of Hyperbolic Planes
Geometric 2-Manifolds
Geometric Solutions of Quadratic and Cubic Equations
Trigonometry and Duality
Mechanisms
3-Spheres and Hyperbolic 3-Spaces
Polyhedra
3-Manifolds-the Shape of Space

Appendix A: Euclid's Definitions, Postulates, and Common Notions
Appendix B: Constructions of Hyperbolic Planes

Voir tout

Replier

Caractéristiques techniques

	PAPIER
Éditeur(s)	Prentice Hall
Auteur(s)	David W. Henderson, Daina Taimina
Parution	21/09/2004
Édition	3^eme édition
Nb. de pages	392
Format	18 x 23,5
Couverture	Broché
Poids	620g
Intérieur	Noir et Blanc
EAN13	9780131437487
ISBN13	978-0-13-143748-7