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Description

This book presents Euclidean Geometry and was designed for a one-semester course preparing junior and senior level college students to teach high school Geometry. The book could also serve as a text for a junior level Introduction to Proofs course.

Publication Date

2017

Publisher

Mark Barsamian

City

Athens

Keywords

Axiomatic Geometry, Euclidean Geometry, College Geometry, Introduction to Proofs

Disciplines

Geometry and Topology

Comments

This book presents Euclidean Geometry and was designed for a one-semester course preparing junior and senior level college students to teach high school Geometry. The book could also serve as a text for a junior level Introduction to Proofs course. (I have used it many times for MATH 3110 College Geometry at Ohio University in Athens.)

Axiom systems are introduced at the beginning of the book, and throughout the book there is a lot of discussion of how one structures a proof. The axiom system includes the existence of a distance function, coordinate functions, and an angle measurement function. It is significant that the axiom system does not include any axioms about area. Rather, similarity and area are developed in theorems. Throughout the book, the writing is meant to have a level of precision appropriate for a junior or senior level college math course.

Each chapter of the book ends with exercises that are organized by section. The Definitions and Theorems are numbered, and complete lists of them are presented in the Appendices. Throughout the PDF version of the book, most references are actually hyperlinks. That is, any reference to a numbered book section, or numbered definition or theorem, can be clicked on to take the reader to see that numbered item. Using the “back arrow” will take the reader back to where they were before.

Creative Commons License

Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License.

Introduction to Axiomatic Geometry

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