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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Lee is a great text on the subject. An Introduction to Manifolds Universitext. A gentle yet rigorous introduction to the subject.

reference request – Introductory texts on manifolds – Mathematics Stack Exchange

Withoutabox Submit to Film Festivals. Requiring only intriduction undergraduate prerequisites, “An Introduction to Manifolds” is also an excellent foundation for the author’s publication with Raoul Bott, “Differential Forms in Algebraic Topology. But without more specifics from you it’s not so clear what to recommend.

ComiXology Thousands of Digital Comics. I want to ask what you think about the book of S. Differential Forms and Applications Manfredo P. Luckily, I found Loring Tu’s book which gives a gentler introduction to the subject. Smooth Functions on a Euclidean Space. Learn more about Amazon Lorinf. Review quote From the reviews of the second edition: Amazon Advertising Find, attract, and engage customers.

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Combining aspects of algebra, topology, and analysis, manifolds have also been applied to classical mechanics, general relativity, and quantum field theory. Is this feature helpful? In addition, this approach teaches you to “think in a coordinate-free way”, but in the familiar Euclidean space most students already feel comfortable with.


Narasimhan, but it is too advanced. The text also contains many exercises 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. Product details Format Paperback pages Dimensions x x The Exterior Algebra of Multicovectors.

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 is a complete book! He also has some very nice physical applications, which includes Maxwell’s equations.

A Workbook for Students and Teachers”. Get to Know Us. Lee – “Introduction to Smooth Manifolds” ; introdjction 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. The Calculus of Variations Bruce van Brunt. Warner’s Foundations of Differentiable Manifolds is an ‘older’ classic.

Its table of contents is amazing in scope dealing with some advanced topics most other introductory books avoid like classical integral geometry, characteristic classes and pseudodifferential operators. 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. Yes, I do think that one should also learn at least the basics of the sheaf approach for manifolds via ringed spaces, and Ramanan is an excellent introduction to that.


An algebraic geometer by training, he has done research at the interface of algebraic geometry,topology, and differential geometry, including Hodge theory, degeneracy loci, moduli spaces of vector bundles, and equivariant cohomology.

An Introduction to Manifolds : Loring W. Tu :

Then you can start reading Kindle books on your smartphone, tablet, or computer – no Kindle device required. October 5, Sold by: Bishop and Goldberg, Tensor Analysis on Manifolds. See all 22 reviews. I’m way late to the party, but for an example requiring very very few prerequisites, Reyer Sjamaar’s notes on Manifolds and Differential Forms are very well-organized and accessible.

Complex Geometry Daniel Huybrechts. In the end, we must not forget that the old masters that founded the subject were much more visual an intuitive than manifilds modern abstract approaches to geometry, and that motivation was what culminated in the unified abstract approach of nowadays.