Editorial Reviews. Review. From the reviews: “An introduction to the formalism of differential and integral calculus on smooth manifolds. Many prospective. Loring W. Tu. An Introduction to Manifolds. Second Edition. May 19, Springer. Berlin Heidelberg NewYork. HongKong London. Loring W. Tu Tu’s An Introduction to Manifolds is accordingly offered as the first of a quartet of works that should make for a fine education in.

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What other items do customers buy after viewing this item? By the end of the book the reader should be able to compute, at least for simple spaces, one of the most basic topological invariants of a manifold, its de Rham cohomology.

It hu just a very clear introduction to manifolds with a 50 page introduction to topology covering vector fields, differential forms, Lie groups, Fibre bundles, and connections.

An Introduction to Manifolds (Universitext) 2, Loring W. Tu –

Please try again later. Along the way, the reader acquires the knowledge and skills necessary for further study of geometry and topology. I have sampled many books on manifold theory and Tu’s seems the friendliest. I want to ask what you think about the book of S. If you look for an alternative to Tu’s I believe the best one is John M.

As a Physics PhD student I should say that this book can be very helpful as long as one is aware that the purpose of the author is to teach differential geometry on a fast track. But without more specifics from you it’s not so clear what to recommend.


If you can get a copy of this title for a cheap price the link above sends you to Amazon marketplace and there are cheap “like new” copies I think it is worth it. A solid background in Algebra and Analysis would be necessary though.

I would agree with some of the other reviewers that this should be a text every graduate student in mathematics should read. Jeffrey Lee’s book, “Manifolds and Differential Geometry” is also a nice book esp someone wants to learn Riemannian geometry too.

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They were found to be quite helpful to the user, and I’ve bookmarked the page, myself, for future reference. Probability Theory Achim Klenke. Lee’s ‘Introduction to Smooth Manifolds’ seems to have become the standard, and I agree th is very clear, albeit a bit long-winded and talky.

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An Introduction to Manifolds : Loring W. Tu :

I had a look at the John Lee book and it starts off with topological manifolds which is different from Tu’s book that starts off with differentiable functions. October 5, Sold by: Visit our Beautiful Books page and find lovely books for kids, photography lovers and more. This work may ijtroduction used as a textbook anybody who are interesting in different aspect of topology, abstract algebra and manifold.

In addition, this approach teaches you to “think in a coordinate-free way”, but in the introdution Euclidean space most students already feel comfortable with. Product details File Size: Exact and closed definitions. There’s a problem introduxtion this menu right now. He also has some very nice physical applications, which includes Maxwell’s equations. So yeah, it’s quite heavy and probably not an introduction, although I’ve found it useful at times when I learned this stuff for the first time a year ago.


Lee – “Introduction to Smooth Manifolds” ; it is a well-written book with a slow pace covering every elementary construction on manifolds and its table of contents is very similar to Tu’s. If you’re interested in things mostly centred introduchion 2-dimensional hyperbolic geometry, Singer and Thorpe’s “Elementary Topology and Geometry” is quite nice. Lie Groups and Lie Algebras.

Moreover it includes hints and solutions to many problems!. Loring Tu’s book has many computational examples and easy to medium level exercises, which are essential because of the onslaught of notation one encounters in manifold theory. Learn more about Amazon Giveaway. Back cover copy Manifolds, the higher-dimensional analogues of smooth curves and surfaces, are fundamental objects in modern mathematics.

Exact and closed definitions, clear derivations of propositions and theorems. It even develops Riemannian geometry, de Rham cohomology and variational calculus on manifolds very easily and their explanations are very down to Earth.

An Introduction to Manifolds

Table of contents Preface to the Second Edition. Along the way the reader acquires the knowledge and skills necessary for further study of geometry and topology. Its exercises are quite solvable and I learned a lot from it.

Manifolds, the higher-dimensional analogs of smooth curves and surfaces, are fundamental objects in modern mathematics.