Classical Geometry: Euclidean; Transformational; Inversive; and Projective

Specifications

Book Description

Clear; accessible and reader-friendly; Classical Geometry: Euclidean; Transformational; Inversive; and Projective introduces readers to a valuable discipline that is crucial to understanding bothspatial relationships and logical reasoning. Focusing on the development of geometric intuitionwhile avoiding the axiomatic method; a problem solving approach is encouraged throughout.

Features the classical themes of geometry with plentiful applications in mathematics; education; engineering; and science

The PDF ebook is strategically divided into three sections: Part 1 focuses on Euclidean geometry; which provides the foundation for the rest of the material covered throughout; Part 2 discusses Euclidean transformations of the plane; as well as groups and their use in studying transformations; and Part 3 covers inversive and projective geometry as natural extensions of Euclidean geometry. In addition to featuring real-world applications throughout; Classical Geometry: Euclidean; Transformational; Inversive; and Projective includes:

• Multiple entertaining and elegant geometry problems at the end of each section for every level of study
• Unique topical coverage; such as the theorems of Ceva and Menalaus and their applications
• Fully worked examples with exercises to facilitate comprehension and retention
• An approach that prepares readers for the art of logical reasoning; modeling; and proofs

The ebook is an excellent textbook for courses in introductory geometry; modern geometry; elementary geometry; and history of mathematics at the undergraduate level for mathematics majors; minors; as well as for engineering and secondary education majors. The ebook is also ideal for anyone who would like to learn the various applications of elementary geometry.