An introduction to algebraic geometry and a bridge between its analytical-topological and algebraical aspects, this book explores fundamental concepts of the general theory of algebraic varieties: general point, dimension, function field, rational transformations, and correspondences as well as formal power series and an extensive survey of algebraic curves. 1953 edition.
Focusing on modern combinatorial topology, this text provides a comprehensive introduction to essential concepts such as complexes, homology groups, and mappings in spheres. It also covers homotopy, transformations and their fixed points, as well as manifolds and duality theorems. Each chapter is designed to reinforce learning with a set of problems, making it suitable for beginners in the field. Professor Lefschetz's approach ensures that readers gain a solid, practical understanding of the subject.