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0 reviewsIn this book we invite the reader to explore the basic ideas of geometry from a more mature standpoint.
We will suggest some of the deeper meanings, larger contexts, and interrelations of the ideas.
We are interested in conveying a different approach to mathematics, stimulating the reader to take a broader and deeper view of mathematics and to experience for herself/himself a sense of mathematizing.
This book is based on a junior/senior-level course that David started teaching in 1974 at Cornell for mathematics majors, high school teachers, future high school teachers, and others.
Most of the chapters start intuitively so that they are accessible to a general reader with no particular mathematics background except imagination and a willingness to struggle with ideas.
However, the discussions in the book were written for mathematics majors and mathematics teachers and thus assume of the reader a corresponding level of interest and mathematical sophistication.
The book emphasizes learning geometry using reason, intuitive understanding, and insightful personal experiences of meanings in geometry.