Algebra and Geometry is a comprehensive textbook that offers a unified approach to key mathematical concepts. It covers complex numbers, scalar and vector products, determinants, linear algebra, group theory, permutation groups, symmetry groups, and various aspects of geometry such as groups of isometries, rotations, and spherical geometry. The book highlights the interconnectedness of these topics, constantly illustrating each one by using it to describe and discuss the others. Concepts are introduced gradually, with a focus on clarity and understanding. The text is divided into short chapters, each accompanied by exercises to reinforce learning.
The accompanying website provides an HTML version of the book, additional content at varying difficulty levels, extra exercises and examples. It also offers access to an electronic maths thesaurus, which includes definitions, examples, and links to the book as well as external sources.
