Classical Geometry: Euclidean, Transformational, Inversive, and Projective is a comprehensive eBook that presents a clear and reader-friendly introduction to the field of geometry. The discipline is crucial to understanding spatial relationships, logical reasoning, and has plentiful applications in mathematics, education, engineering, and science.
The eBook is divided into three sections. Part 1 provides a foundation by focusing on Euclidean geometry. Part 2 expands the discussion to include Euclidean transformations of the plane, as well as groups and their use in studying transformations. Part 3 covers inversive and projective geometry as natural extensions of Euclidean geometry.
Throughout the book, readers are encouraged to approach geometry problems through a problem-solving approach rather than an axiomatic method. The eBook features multiple entertaining and elegant geometry problems at the end of each section for every level of study. Additionally, the eBook includes fully worked examples with exercises to facilitate comprehension and retention.
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.
Key features:
- Introduction to the classical themes of geometry
- Real-world applications throughout the eBook
- Multiple entertaining and elegant geometry problems at the end of each section
- Unique coverage of topics 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
Reviews
There are no reviews yet.