Beardon A. Algebra and Geometry 2005 torrent

Textbook in PDF format

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.
Groups and permutations.
The real numbers.
The complex plane.
Vectors in three-dimensional space.
Spherical geometry.
Quaternions and isometries.
Vector spaces.
Linear equations.
Matrices.
Eigenvectors.
Linear maps of Euclidean space.
Groups.
Möbius transformations.
Group actions.
Hyperbolic geometry