Johnson, Roger A.
Advanced Euclidean Geometry (Dover Books on Mathematics)
- ISBN 13:
- 9780486462370
- author:
- Johnson, Roger A.
- format:
- Paperback
- publisher:
- Dover Publications Inc.
- language:
- English
- Publication Year:
- 2007
- Pages:
- 336
- Dimensions:
- 136 mm X 215 mm
- Genre:
- Euclidean geometry
- Condition:
- New
- Availability:
- Item usually sent within 7 working days
Description
Advanced Euclidean Geometry by Roger A. Johnson provides an in-depth exploration of advanced Euclidean geometry, covering topics such as the triangle and circle, with a focus on extensions of Euclidean theory and recent theorems. The book features numerous theorems and corollaries, both proved and unproved, allowing students to practice their skills. The author employs various modern geometrical tools, including circular inversion and the theory of pole and polar, to provide a powerful framework for proof. A key feature of this text is its use of the "directed angles" method, which offers a concise and elegant way to express common theorems. Suitable for students with a background in high school geometry and trigonometry, this accessible textbook requires minimal preparation and provides a comprehensive introduction to advanced Euclidean geometry.
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