Geometry and Topology

Geometry is central to many branches of mathematics and physics, and offers a complete range of views on the universe. This introduction includes many simple explanations and examples. With minimal prerequisites, the book provides a first glimpse of many research topics in modern algebra, geometry and theoretical physics. The book is based on many years’ teaching experience, and is thoroughly class-tested. There are copious illustrations, and each chapter ends with exercises. Further teaching material is available via the web, including assignable problem sheets with solutions.

Exercises and practical illustrations introduce topics across maths and its applications
Prerequisites are minimal: ideally suited to beginner courses and newcomers to the subject
Further teaching material is available for teachers, including assignable problem sheets with solutions