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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He also has some very nice physical applications, which includes Maxwell’s equations. This is fundamental if one wishes to understand differential geometry in a similar language to modern algebraic geometry, although this approach is usually not required or even explained in most university courses. Editorial Reviews Review From the reviews: It depends on what you are interested in.
Morita has a way of explaining some quite advanced topic in a very understandable manner. Alexa Actionable Analytics for the Web. If you look for an alternative to Tu’s I believe the best one is John M. Goodreads is the world’s largest site for readers with over 50 million reviews.
reference request – Introductory texts on manifolds – Mathematics Stack Exchange
East Dane Designer Men’s Fashion. Product details Format Paperback pages Dimensions x x An Introduction to Manifolds Loring W. Thank you, Javier, for a very nice list of books. See all Editorial Reviews. It doesn’t contain complete bottom-up theory building and omits hard proofs but it is a very neat general introduction to the basics of manifolds; it explains very well why the stuff should work the way it does and also provides very nice usually physical applications.
An Introduction to Manifolds
An Introduction to Manifolds Universitext. Many passages have been rewritten, proofs simplified, and new examples and exercises added.
If they had done that,the book would probably have been a huge success as a necessary supplement to some of the great exercise-less lecture notes on the subject-such as S. You can use it as a complement to Tu’s or as a second reading. Differential Forms on R N. The Long Exact Sequence in Cohomology. It even develops Riemannian geometry, de Rham cohomology and variational calculus on manifolds very easily and their explanations are very down ty Earth.
My guess is that when Mr. I borrowed this book from a library to learn differential geometry. In the end, my advise is to get Tu’s and if you feel comfortable after a while with it and want to learn more on the geometry of manifolds, get Nicolaescu’s or Lee’s. Review quote From the reviews of the second edition: This work may be used as manifoldz textbook for a one-semester graduate or advanced undergraduate course, as well as by students engaged in self-study.
Hints and solutions are provided to many of the exercises and problems.
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.
Hints and lorlng are provided to many of the exercises and problems. Bott and the author. Page 1 of 1 Start over Page 1 ti 1. 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.
Lee is a great text on the subject. The text also contains many exercises I look forward to going through this ingroduction. This means that some of the details of the each topic have not been covered. Shopbop Designer Fashion Brands. Would you like to tell us about a lower price?
An Introduction to Manifolds : Loring W. Tu :
But without more specifics from you it’s not so clear what to recommend. It is only pages long, but the font is extremely small, so there are a lot of things in there. So yeah, it’s quite heavy and probably not an introduction, although I’ve ot it useful at times when I learned this stuff for the first time a year ago.
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In the same spirit of the previous book but a little better in my opinion, and even introductoin complete, is the title by Nicolaescu – ” Lectures on the Geometry of Manifolds “. The higher dimensional analogues of smooth curves and surfaces are called manifolds. He labels every problem, so a student doesn’t wade through pages of text needlessly trying to discover which part of the text will be most useful, but this method allows the student to hone in on the material which is exactly pertinent to that problem.
The manigolds edition contains fifty pages of new material. Requiring only minimal undergraduate prerequisites, “An Introduction to Manifolds” is also an excellent foundation for the author’s publication with Raoul Bott, “Differential Forms in Algebraic Topology. This imtroduction gives differential forms based upon their general definition, which requires the development of multi-linear ho tensor algebra. It is 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.
Nevertheless, since its treatment is a bit dated, it lacks the kind of hard abstract algebraic formulation used nowadays forget about functors maanifolds exact sequences, like Tu or Lee mentionthat is why I believe an old fashion geometrical treatment may be very helpful to complement modern titles for a person entering the subject needing a good geometrical foundation.