Engaging, accessible, and extensively illustrated, this brief, but solid introduction to modern geometry describes geometry as it is understood and used by contemporary mathematicians and theoretical scientists. Basically non-Euclidean in approach, it relates geometry to familiar ideas from analytic geometry, staying firmly in the Cartesian plane. It uses the principle geometric concept of congruence or geometric transformationintroducing and using the Erlanger Program explicitly throughout. It features significant modern applications of geometrye.g., the geometry of relativity, symmetry, art and crystallography, finite geometry and computation.
Covers a full range of topics from plane geometry, projective geometry, solid geometry, discrete geometry, and axiom systems.
For anyone interested in an introduction to geometry used by contemporary mathematicians and theoretical scientists.
A textbook for a geometry course at the sophomore or higher level for students previous acquainted with high-school Euclidian geometry and analytic geometry. Some familiarity with vector operations such as addition and scalar multiplications and with some linear algebra would also be useful, especially in the later, more advanced chapters. Henle (Oberlin College, Ohio) introduces modern geometry using analytic methods in order to relate geometry to familiar ideas from analytic geometry while keeping safely inside the lines of the Cartesian plane and building on skills learned and practiced there. The first edition appeared in 1997. Annotation c. Book News, Inc., Portland, OR (booknews.com)