College Geometry - A Unified Development (Hardcover)

Designed for mathematics majors and other students who intend to teach mathematics at the secondary school level, College Geometry: A Unified Development unifies the three classical geometries within an axiomatic framework. The author develops the axioms to include Euclidean, elliptic, and hyperbolic geometry, showing how geometry has real and far-reaching implications. He approaches every topic as a fresh, new concept and carefully defines and explains geometric principles. The book begins with elementary ideas about points, lines, and distance, gradually introducing more advanced concepts such as congruent triangles and geometric inequalities. At the core of the text, the author simultaneously develops the classical formulas for spherical and hyperbolic geometry within the axiomatic framework. He explains how the trigonometry of the right triangle, including the Pythagorean theorem, is developed for classical non-Euclidean geometries. Previously accessible only to advanced or graduate students, this material is presented at an elementary level. The book also explores other important concepts of modern geometry, including affine transformations and circular inversion. Through clear explanations and numerous examples and problems, this text shows step-by-step how fundamental geometric ideas are connected to advanced geometry. It represents the first step toward future study of Riemannian geometry, Einstein's relativity, and theories of cosmology.

General

Imprint:	Crc Press
Country of origin:	United States
Series:	Textbooks in Mathematics
Release date:	June 2011
First published:	2011
Authors:	David C. Kay
Dimensions:	254 x 178 x 33mm (L x W x T)
Format:	Hardcover
Pages:	652
ISBN-13:	978-1-4398-1911-1
Categories:	Books > Science & Mathematics > Mathematics > Geometry > General Promotions
LSN:	1-4398-1911-4
Barcode:	9781439819111

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!