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Introduction to Smooth Manifolds
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Avg. Rating:♥♥♥♥♥
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My field lies somewhere at the intersection of algebra, geometry and physics. This is a very handy reference, meaning a few pages accessible and contains most of the basic notions of differentiable manifold and some useful beyond-elementary topics for me. A good book to look into if you can't remember something in details.... »
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A Geometric Approach to Differential Forms
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Avg. Rating:♥♥♥♥♥
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Easy to read, but not too deep in theory or algebraic properties of differntial forms. Interesting for many exercices to solve ( with solutions !) Useful to grasp an intuitive approach to the concept, but if you are seeking a thoroughtly book on the subject this is not the book.... »
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Differential Manifolds (Dover Book on Mathematics)
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This book treats differential topology from scratch to the works by Pontryagin, Thom, Milnor, and Smale. The best thing with this book is that you don't too often have to read between the lines. That is, the exposition is detailed and user-friendly, so I highly recommend this book. If something is to be blamed, the price is horrendous.... »
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Riemannian Geometry
This is another well-written text by Do Carmo. I browsed through it and found I could not understand several passages because I did not know what the spec... »
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