Mastery of Modern Geometry for Curious Learners
Discover a thorough introduction to modern elementary geometry, drawn from lectures at the University of Dublin. This edition presents the substance of those talks in clear, accessible language that builds from Euclid’s foundations to contemporary ideas.
This volume concentrates on the ideas and methods that shape geometric thought today, with emphasis on how figures are generated, measured, and related. It blends practical reasoning with rigorous demonstrations, making advanced concepts approachable for students and curious readers alike.
- Foundations of geometric terminology and notation, including the double meanings of terms and symbols
- How figures can be generated by moving points or lines, and what that means for loci and envelopes
- Maxima, minima, and optimization ideas applied to geometric problems
- Harmonic relationships, polars, and reciprocal properties in triangles and circles
Ideal for readers of historical and mathematical geometry, this edition serves as both a study aid and a window into 19th‑century pedagogical approaches to geometry.