BOOK REVIEW
in
Science & Technology
May 9, 2025
Delving Deep: A Rigorous Exploration of Euclidean Geometry in Rothe's Work
by Franz Rothe
Reviewed by Deborah Paige
Book Browse Reflection
A Course in Old and New Geometry II: Basic Euclidean Geometry by Franz Rothe meticulously examines Euclidean geometry through a problem-based approach. The book systematically presents mathematical constructions (triangles, circles, squares, etc.) and problems involving elements like altitudes and circumcircles, supported by figures and rigorous explanations rooted in classical mathematical propositions. This detailed exposition is designed for an advanced audience seeking a deep understanding of geometric principles and theories.
In "A Course in Old and New Geometry II: Basic Euclidean Geometry," Franz Rothe presents a detailed mathematical exposition of Euclidean geometry, extending into hyperbolic geometry and covering trigonometry. The book is structured around problems, claims, and constructions, with visual aids and thorough explanations.
Employing classical mathematical principles, it offers step-by-step instructions for various geometric constructions and problem-solving, demanding a solid foundation in geometry from its readers, such as advanced students and researchers.
Franz Rothe's "A Course in Old and New Geometry II: Basic Euclidean Geometry" provides a rigorous and comprehensive study of mathematical constructions and problems within Euclidean and hyperbolic geometry.
While currently tailored for an advanced audience due to its depth and clarity, the book's well-crafted explanations and problem-solving focus hold the potential to engage a broader readership without sacrificing its inherent mathematical rigor. It meticulously details constructions and solutions using classical principles and precise language.