Algebra and Geometry by Alan F. Beardon (EPUB)

This text gives a basic introduction, and a unified approach, to algebra and geometry. Alan Beardon covers the ideas of complex numbers, scalar and vector products, determinants, linear algebra, group theory, permutation groups, symmetry groups, and various aspects of geometry including groups of isometries, rotations, and spherical geometry.
The emphasis is on the interaction among these topics. The text is divided into short sections, with exercises at the end of each section.