By Alan F. Beardon - Algebra and Geometry

by Alan F. Beardon

This text gives a basic introduction, and a unified approach to algebra and geometry. It 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 always on the interaction between these topics, and each topic is constantly illustrated by using it to describe and discuss the others. Many of the ideas are developed gradually throughout the book. For example, the definition of a group is given in Chapter 1 so that it can be used in a discussion of the arithmetic of real and complex numbers; however, many of the properties of groups are given later, and at a time when the importance of the concept has become clear. The text is divided into short sections, with exercises at the end of each.

Genres: Mathematics, Algebra, Geometry

Paperback

First published July 15, 2002

Reviews

[Tom Ritman-Meer · Rating 5 out of 5]

A thorough, if rather dull treatment.

[Henne · Rating 4 out of 5]

A tour of various topics in abstract algebra, linear algebra, and geometry, suitable for beginning undergraduate students in mathematics and related fields.

[sqrt2]

Well written, not enough examples and not enough linear algebra , but good none the less