A First Course in Projective Geometry (Classic Reprint) - Hardcover

E. Howard Smart

 
9780365184836: A First Course in Projective Geometry (Classic Reprint)

Synopsis

Master projective geometry with clear foundations and practical insights.

This classic text introduces the core ideas of projection, duality, and conic sections, guiding readers from basic geometric elements to advanced topics like inversions, poles and polars, and complete analyses of conics.

Structured for steady learning, the book blends definitions, worked examples, and historical notes to build intuition. It emphasizes how geometric relationships persist under projection and transformation, helping readers reason about shapes, lines, and points in space with confidence.

  • Foundational concepts: fundamental axioms, notation, and the language of projective geometry.
  • Core techniques: projection methods, duality, and harmonic properties across figures.
  • In-depth topics: inversions, polars, coaxal circles, and the geometry of conics.
  • Practical practice: numerous examples, exercises, and step-by-step constructions.

Ideal for students and self-learners seeking a rigorous yet approachable path through projective geometry.


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