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Geometry Illuminated: An Illustrated Introduction to Euclidean and Hyperbolic Plane Geometry (Mathematical Association of America Textbooks) by Matthew (university Of Virginia) Harvey is a mathematics available to read on EtoBox.
What is Geometry Illuminated: An Illustrated Introduction to Euclidean and Hyperbolic Plane Geometry (Mathematical Association of America Textbooks) about?
__Geometry Illuminated__ is an introduction to geometry in the plane, both Euclidean and hyperbolic. It is designed to be used in an undergraduate course on geometry, and as such, its target audience is undergraduate math majors. However, much of it should be readable by anyone who is comfortable with the language of mathematical proof. Throughout, the goal is to develop the material patiently. One of the more appealing aspects of geometry is that it is a very "visual" subject. This book hopes to takes full advantage of that, with an extensive use of illustrations as guides. __Geometry Illuminated__ is divided into four principal parts. Part 1 develops neutral geometry in the style of Hilbert, including a discussion of the construction of measure in that system, ultimately building up to the Saccheri-Legendre Theorem. Part 2 provides a glimpse of classical Euclidean geometry, with an emphasis on concurrence results, such as the nine-point circle. Part 3 studies transformations of the Euclidean plane, beginning with isometries and ending with inversion, with applications and a discussion of area in between. Part 4 is dedicated to the development of the Poincaré disk model, and the
Who reads Geometry Illuminated: An Illustrated Introduction to Euclidean and Hyperbolic Plane Geometry (Mathematical Association of America Textbooks)?
It is typically read by self-directed learners exploring a subject in depth.
Common subject areas: history, science, philosophy, social sciences.
- Author
- Matthew (university Of Virginia) Harvey
- Publisher
- American Mathematical Society; Mathematical Association of America (MAA)
- Published
- 2015
- Language
- EN
- ISBN
- 9781939512116
- Category
- mathematics
- Subjects
- Mathematics, Science, Stem
- Rating
- 4.6 / 5 (3 ratings)
- Updated
- 2026-03-14
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