Projective Geometry (Classic Reprint) - Softcover

Mathews, George Ballard Ballard

 
9781451000085: Projective Geometry (Classic Reprint)

Inhaltsangabe

A rigorous, self-contained introduction to projective geometry that builds intuition without using distance.

It explores space, duality, and projections through clear explanations, abundant diagrams, and concrete examples.

This edition presents the core ideas of projective geometry, starting from intuitive notions of points, lines, and planes, and developing them with ten primitive propositions. It emphasizes the principle of duality and guides readers toward a solid understanding of space up to three dimensions. The book also introduces complex elements of space, discusses fundamental theorems, and connects theory with classical and modern perspectives. Throughout, exercises reinforce learning and illustrate how projective methods apply to a wide range of geometric problems.
What you’ll experience
  • A step-by-step path from basic definitions to advanced topics in projective geometry
  • Clear treatment of duality and its consequences in space and projections
  • Connections to historical and contemporary approaches, with practical examples
  • Exercises that build problem-solving skill and deepen understanding
Ideal for students and self-learners seeking a rigorous yet accessible entry to projective geometry, with a focus on structure and reasoning.
{ "genre": "nonfiction", "confidence": 0.78 }

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