Geometry and Its Applications combines traditional geometry with ideas of recent decades to present a new approach for the 21st century. It balances the deductive approach with discovery learning, and introduces axiomatic, Euclidian geometry, non-Euclidian geometry, and transformational geometry. The text integrates realistic applications throughout, includes historical notes in many chapters, and contains student and instructor's guides that support Geometer's Sketchpad. Includes a free instructor's manual to professors of adopting universities.
Review quote:
"this text is more interesting to read than our present text. The author writes at a more appropriate level. (He) expresses himself well especially n the historical texts, examples, and ideas."
--David E. Ewing, Central Missouri State University
"Real strengths of the text include the applications, the treatment of symmetry, and the attention to isometries. The style is conversational and the approaches to problems are sensible. I appreciate the large number of problems."
--Steven Williams, Brigham Young University
"The author's emphasis on applications sets this proposed text apart from the standard ones. His examples make the point that geometry plays a vital role in the modern world."
--Gerald E. Gannon, California State University, Fullerton
Table of contents:
The Axiomatic Method in Geometry
The Euclidean Heritage
Non-Euclidean Geometry
Transformation Geometry I: Isometries and Symmetries
Vectors in Geometry
Transformation Geometry II: Isometries and Matrices
Transformation Geometry III: Similarity, Inversion and Projection
Graphs, Maps and Polyhedra
Review quote:
"this text is more interesting to read than our present text. The author writes at a more appropriate level. (He) expresses himself well especially n the historical texts, examples, and ideas."
--David E. Ewing, Central Missouri State University
"Real strengths of the text include the applications, the treatment of symmetry, and the attention to isometries. The style is conversational and the approaches to problems are sensible. I appreciate the large number of problems."
--Steven Williams, Brigham Young University
"The author's emphasis on applications sets this proposed text apart from the standard ones. His examples make the point that geometry plays a vital role in the modern world."
--Gerald E. Gannon, California State University, Fullerton
Table of contents:
The Axiomatic Method in Geometry
The Euclidean Heritage
Non-Euclidean Geometry
Transformation Geometry I: Isometries and Symmetries
Vectors in Geometry
Transformation Geometry II: Isometries and Matrices
Transformation Geometry III: Similarity, Inversion and Projection
Graphs, Maps and Polyhedra