Differential Topology

This text fits any course with the word "Manifold" in the title. It is a graduate level book. "This book is written for mathematics students who have had one year of analysis and one semester of linear algebra. Included in the analysis background should be familiarity with basic topological concepts in Euclidean space: openness, connectedness, compactness, etc. We borrow two theorems from analysis which some readers may not have studied: the inverse function theorem, which is used throughout the text; and the change of variable formula for multiple integration, which is needed only for Chapter 4"--Page xiii Manifolds And Smooth Maps -- Transversality And Intersection -- Oriented Intersection Theory -- Integration On Manifolds -- Measure Zero And Sard's Theorem -- Classification Of Compact One-manifolds. [by] Victor Guillemin [and] Alan Pollack. Bibliography: P. 212.