Singular Points of Plane Curves [Hardcover]

Introduction to singularity theory based on MSc course taught by author; novel synthesis, with new results not found elsewhere.This book has arisen from the author's successful course at Liverpool University. The text covers all the essentials in a style that is detailed and expertly written by one of foremost researchers and teachers working in the field. Ideal for either course use or independent study, the volume guides students through the key concepts and will enable them to move on to more detailed study or research within the field.This book has arisen from the author's successful course at Liverpool University. The text covers all the essentials in a style that is detailed and expertly written by one of foremost researchers and teachers working in the field. Ideal for either course use or independent study, the volume guides students through the key concepts and will enable them to move on to more detailed study or research within the field.This book has arisen from the author's successful course at Liverpool University. The text covers all the essentials in a style that is detailed and expertly written by one of the foremost researchers and teachers working in the field. Ideal for either course use or independent study, the volume guides students through the key concepts that will enable them to move on to more detailed study or research within the field.Preface; 1. Preliminaries; 2. Puiseux' theorem; 3. Resolutions; 4. Contact of two branches; 5. Topology of the singularity link; 6. The Milnor fibration; 7. Projective curves and their duals; 8. Combinatorics on a resolution tree; 9. Decomposition of the link complement and the Milnor fibre; 10. The monodromy and the Seifert form; 11. Ideals and clusters; References; Index.'The text reflects the author's great expertise in the field in a masterly way & His style of writing mathematics is & motivating and highly inspiring. No doubt, this book will quickly become a widely used standard text on singularities lÓ4