This brief undergraduate-level text by a prominent Cambridge-educated mathematician explores the relationship between algebra and geometry. An elementary course in plane geometry is the sole requirement for Gilbert de B. Robinson's text, which is the result of several years of teaching and learning the most effective methods from discussions with students.
Topics include lines and planes, determinants and linear equations, matrices, groups and linear transformations, and vectors and vector spaces. Additional subjects range from conics and quadrics to homogeneous coordinates and projective geometry, geometry on the sphere, and reduction of real matrices to diagonal form. Exercises appear throughout the text, with complete answers at the end.
About the Author
Gilbert de B. Robinson (1906–92) was Professor of Mathematics at the University of Toronto for more than four decades. During WWII, he conducted top-secret government work on codes and cyphers, for which he received Britain's MBE award.
Table of Contents
1. Lines and Planes
2. Dererminants and Linear Equations
4. Groups and Linear Transformations
5. Vectors and Vector Spaces
6. Conics and Quadrics
7. Homogeneous Coordinates and Projective Geometry
8. Geometry on the Sphere
9. Reduction of Real Matrices to Diagonal Form
Answers to Exercises
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