Aimed at advanced undergraduate students of mathematics, this concise text covers the basics of algebraic geometry. The treatment's principal aim is to close part of the gap between elementary analytic geometry and abstract algebraic geometry. Prerequisites include a familiarity with elementary analytic geometry through the conics and quadrics, the fundamentals of linear algebra, and calculus through partial derivatives. Author W. E. Jenner begins with a brief outline of algebraic preliminaries and proceeds to discuss affine spaces and projective spaces. Subsequent chapters explore rational curves, algebraic sets with group structure, and some more specialized material, including Segre and Veronese varieties as well as Plücker coordinates and Grassmann varieties. A Bibliography provides suggestions for more detailed study.