About this ebook
This book is an introduction to manifolds at the beginning graduate level. It contains the essential topological ideas that are needed for the further study of manifolds, particularly in the context of differential geometry, algebraic topology, and related fields. Its guiding philosophy is to develop these ideas rigorously but economically, with minimal prerequisites and plenty of geometric intuition.
Although this second edition has the same basic structure as the first edition, it has been extensively revised and clarified; not a single page has been left untouched. The major changes include a new introduction to CW complexes (replacing most of the material on simplicial complexes in Chapter 5); expanded treatments of manifolds with boundary, local compactness, group actions, and proper maps; and a new section on paracompactness.
This text is designed to be used for an introductory graduate course on the geometry and topology of manifolds. It should be accessible to any student who has completed a solid undergraduate degree in mathematics. The author’s book Introduction to Smooth Manifolds is meant to act as a sequel to this book.
This book is an introduction to manifolds at the beginning graduate level. It contains the essential topological ideas that are needed for the further study of manifolds, particularly in the context of differential geometry, algebraic topology, and related fields. Its guiding philosophy is to dev...
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2 reviews
behrouz yaghmaeian
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September 7, 2026
مادر هرچی ایرانیه سگ گایید تنظیمات گوشی منو عوض نکن بیناموس فیس بوک و اینستاگرام من کو من اجازه ندادم به‌گوگل به اس ام اس و کالم دسترسی داشته باشه خونه زندگی من کو کس مادرا من دارو نمیخوام‌خونه میخوام پول میخوام کارای کیریتون با صاحب کارای کیریتون و نمیخوام مادر سگ اگه آدم دوست و خونواده و وطن داشته باشه تو خیابون نمیخوابه بهش دارو بدن بیناموس تو خیابون دوای کیر و خایه بهش نمیدن موقع رانندگی بهش دارو نمیدن آدم دوست و خونواده دار یه شب بیرون میخوابه نه یه سال یه کار عوض میکنه نه صدتا
About the author
John M. Lee is a professor of mathematics at the University of Washington. His previous Springer textbooks in the Graduate Texts in Mathematics series include the first edition of Introduction to Topological Manifolds, Introduction to Smooth Manifolds, and Riemannian Manifolds: An Introduction.
John M. Lee is a professor of mathematics at the University of Washington. His previous Springer textbooks in the Graduate Texts in Mathematics series include the first edition of Introduction to Topological Manifolds, Introduction to Smooth Manifolds, and Riemannian Manifolds: An Introduction.
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