C. T. C. Wall is Emeritus Professor in the Division of Pure Mathematics at the University of Liverpool. During his career he has held positions at the University of Oxford and the University of Cambridge and has been invited as a major speaker to numerous conferences in Europe, the USA and South America. He was elected a Fellow of the Royal Society in 1969.

• Introduction; 1. Foundations; 2. Geometrical tools; 3. Differentiable group actions; 4. General position and transversality; 5. Theory of handle decompositions; 6. Immersions and embeddings; 7. Surgery; 8. Cobordism; Appendix A. Topology; Appendix B. Homotopy theory; References; Index of notation; Index.

'The book is of the highest quality as far as scholarship and exposition are concerned, which fits with the fact that Wall is a very big player in this game. I have had occasion over the years to do a good deal of work from books in the Cambridge Studies in Advanced Mathematics Series, always top drawer productions, and the present volume is no exception. I very much look forward to making good use of this fine book.' Michael Berg, MAA Reviews