Foundations of Geometry (Dover Books on Mathematics)

Book Details:

• Author: C. R. Wylie

• Publisher: Dover

• Edition: Dover Edition

• Binding: Paperback

• Number of Pages: 338

• ISBN: 9780486472140

• Release Date: 21-05-2009

• Languages: English

• Package Dimensions: 8.9 x 6.0 x 0.6 inches

About the Book:

"Geometry: A Comprehensive Course" by C. R. Wylie is an essential textbook for students preparing to teach high school mathematics, professionals looking to strengthen their geometry knowledge, and anyone seeking a deeper understanding of both Euclidean and non-Euclidean geometry. Written with clarity and precision, this book delves into the principles of geometry, offering readers both a broad understanding of geometrical concepts and specific insights into the axiomatic method.

The text begins by introducing students to the axiomatic method, laying the groundwork for a clear and structured way of thinking. Following this introduction, the book moves into detailed discussions of Euclidean geometry, including fascinating topics like the geometry of four dimensions, plane hyperbolic geometry, and a Euclidean model of the hyperbolic plane. With numerous figures and incremental explanations of definitions, theorems, corollaries, and postulates, the material is accessible and easy to follow.

Each chapter concludes with exercises designed to reinforce the reader's understanding, making this text not only a learning resource but also a tool for strengthening problem-solving skills. Whether you're a student or a professional, Wylie’s "Geometry: A Comprehensive Course" is a crucial resource for anyone seeking to grasp the foundational and advanced concepts of geometry.