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  • Introductory texts on manifolds - Mathematics Stack Exchange
    Lee's 'Introduction to Smooth Manifolds' seems to have become the standard, and I agree it is very clear, albeit a bit long-winded and talky Warner's Foundations of Differentiable Manifolds is an 'older' classic Javier already mentioned Jeffrey Lee's 'Manifolds and Differential Geometry' and Nicolaescu's very beautiful book I'd like to add:
  • What exactly is a manifold? - Mathematics Stack Exchange
    Those of us who were introduced to manifolds via the differential structure (as in Spivak) have a gut feeling that that is what manifolds are Both the WP article and this book have helpful lists of things that are and aren't manifolds I would suggest having these lists handy while going through actual definitions of manifolds, because
  • What is a Manifold? - Mathematics Stack Exchange
    From a physics point of view, manifolds can be used to model substantially different realities: A phase space can be a manifold, the universe can be a manifold, etc and often the manifolds will come with considerable additional structure Hence, physics is not the place to gain an understanding of a manifold by itself
  • Exhaust Manifolds | Warped | Page 17 | DODGE RAM FORUM - Dodge Truck Forums
    Broken or warped manifolds aren't a new problem,lol My Dad used to braze up FE Ford manifolds alot back in the 60's 70's as they were famous for cracking on 352 and 390 Fords As long as he had most of the pieces he could usually glob them back together enough they'd live for a few years
  • BD Diesel Exhaust Manifold Kit RAM 5. 7L HEMI 1500 2500 3500
    BD upgraded manifolds address common exhaust manifold bolt failures by incorporating extended fasteners and spacers that effectively withstand thermal expansion In addition, they have engineered independent mounting locations for the heat shield, separating it from the mounting bolts to further enhance reliability
  • general topology - How can one prove that manifolds are regular . . .
    The only hole I have, however, is the assertion that manifolds are regular From what I can infer, this comes from the properties of being locally path-connected and Hausdorff, but I cannot make the leap from those two properties to the required regularity to complete the proof
  • Examples of closed manifolds? - Mathematics Stack Exchange
    -non-compact manifolds without boundary: The 'interiors' of manifolds above -compact (not closed) manifolds with boundary: Put the above two manifolds together (Note cases like a $\mathbb{R}^3$-embedded circle, together with an $\mathbb{R}^3$-embedded surface of which the boundary is the circle, also count )
  • Definition of a topological manifold with corners.
    Furthermore, a homeomorphism between two manifolds with corners need not preserve corners Just think about self-homeomorphism $(R_+)^2\to (R_+)^2$: They need not set the origin to itself However, the category of manifolds with corners has its own notion of isomorphisms; such isomorphisms will preserve corners by definition
  • self learning - What math is necessary to learn manifolds . . .
    Ultimately, it's similar to Munkres' "Topology" book, but with an emphasis on topological manifolds (The multivariable calculus and real analysis mainly comes into play when studying smooth manifolds Note that smooth manifolds have found many more applications in mathematics, so the term "manifold" generally refers to smooth ones ) $\endgroup$
  • reference request - Good introductory book on Calculus on Manifolds . . .
    The last chapter introduces manifolds, how to integrate on them, and eventually culminates in the modern version of Stoke's Theorem If you want however to get a much more in depth view on manifolds, you will have to learn some topology A good free online book to learn from, that I myself originally used, is called "Topology Without Tears "





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