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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Manifolds, Tensors, and Forms: By clicking “Post Your Answer”, you acknowledge that you have read our updated terms of serviceprivacy policy and cookie policyand that your continued manivolds of the website is subject to these policies.

Enter your mobile number or email address below and we’ll send you a link to download the free Kindle App. We use cookies to give you the best possible experience. Learn more about Amazon Giveaway. The Calculus of Variations Bruce van Brunt.

Introductory texts on manifolds Ask Question. Perhaps too elementary, but I’m not entirely sure of your background.

Amazon Giveaway allows you to run promotional giveaways in order to create buzz, reward your audience, and attract new followers and customers. Post Your Answer Discard By clicking “Post Your Answer”, you acknowledge that you have read our updated terms of serviceprivacy introductoon and cookie policyand that mnifolds continued use of the website is subject to these policies. Thank you, Javier, for a very nice list of books. 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.


Bishop and Goldberg, Tensor Analysis on Manifolds.

I borrowed this book from a library to learn ru geometry. He also has some very nice physical applications, which includes Maxwell’s equations. 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.

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. Lee which are also nice but too many and too long to cover the same material for my tastes. I am by far not the best and brightest student, but I have been able to read the text and given a few hours for each section, complete all exercises throughout the reading and at the end of the section.

Book ratings by Goodreads. Along the way, the reader acquires the knowledge and skills necessary for further study of geometry and topology. See all 22 reviews. My guess is that when Mr. Morita has a way of explaining some quite advanced topic in a very understandable manner.

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Quaternions and the Symplectic Group. It supposedly builds everything up just from a background in linear algebra and advanced multivariable calculus. But without more specifics from you it’s not so clear what to recommend. A gentle yet rigorous introduction to the subject.

The Long Exact Sequence in Cohomology. Tu’s book is definitely a great book to read for someone who doesn’t know the first thing about manifolds. Warner’s Foundations of Differentiable Manifolds is an ‘older’ classic. 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.


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

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

Lie Groups and Lie Algebras. If you look for an alternative to Tu’s I believe the best one is John M. An Introduction to Manifolds. Kindle Cloud Reader Read instantly in your browser.

An Introduction to Manifolds

They can be accessed for free here on his website. Ordinary Differential Equations Vladimir I. Tensor Calculus Made Simple. It is one of the best books in its inroduction. The more abstract and general than Hubbard, but it is entirely accessible to upper-level undergraduates. There is a first volume on “topological manifolds” and a second volume on “smooth manifolds” and even a third one on “Riemannian geometry”.

Sign up using Email and Password. Email Required, but never shown. The text also contains many exercises 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.

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