University Mathematics

The purpose of this book is to provide the student beginning undergraduate mathematics with a solid foundation in the basic logical concepts necessary for most of the subjects encountered in a university mathematics course.

The book can be used as a source of private study before embarking on a degree or as a textbook for an introductory course. Clear descriptions and a vast assortment of exercises – complete with solutions – enable the reader to develop and then practice new skills. Topics are delivered as twenty self-contained, manageable chapters, allowing students to dip in and out as they require, easily identifying those areas on which they need practice, whilst skimming over more familiar material. Important concepts are introduced in an easy-to-read manner with a sustained emphasis on worked examples and applications rather than abstract theory. Each chapter also includes an insight into where the reader’s new skills will be employed during the course of their studies, providing a springboard to further research where desired.

Algebra & Geometry: An Introduction to University Mathematics, Second Edition provides a bridge between high school and undergraduate mathematics courses on algebra and geometry.