Introduction to Topological Manifolds

"Introduction to Topological Manifolds" is a comprehensive textbook aimed at undergraduate mathematics students. It provides a solid introduction to the theory of manifolds and conveys the fundamental topological concepts necessary for understanding differential geometry, algebraic topology, and related fields. The philosophy of the book is to develop these ideas both rigorously and economically, with a focus on clear geometric intuition. The second edition has been extensively revised and includes new content that deepens the understanding of the subject. The book is designed to be used for an introductory graduate course on the geometry and topology of manifolds and is accessible to students who have completed a solid foundational study in mathematics.