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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An Introduction to Manifolds : Loring W. Tu :
A little bit more advanced and dealing extensively with differential geometry of manifolds is the book by Jeffrey Lee – “Manifolds and Differential Geometry” do not confuse it with the other books by John M. October 5, Sold by: This title is quite overlooked outside of Spain I believe, but it is a very insightful and detailed treatise of solved problems about almost every introductory topic of the differential geometry of manifolds. Product details Format Paperback pages Dimensions x x I’ve been able to compare this book with John Lee’s Introduction to Smooth Manifolds, which seems to be one of the standard texts for an introductory geometry course.
Number Fields Daniel A. Tensor Calculus Made Simple.
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Overall, reading this book is relatively easily and is very well suited for self-study. It is only pages long, but the font is extremely small, so there are a lot of things in there.
Michor’s text might be considered as a ‘second’ textbook, at least if you look at the topics he covers. Would you like to tell us about a lower price?
This was exactly my purpose from reading this book which is completely satisfied and that’s why I am giving it 5 stars.
An Introduction to Manifolds (Universitext) 2, Loring W. Tu –
Back cover copy Manifolds, the higher-dimensional analogues of smooth curves and surfaces, are fundamental objects in modern mathematics. Differential Forms on R N. In the same spirit of the previous book but a little better in my opinion, and even more complete, is the title by Nicolaescu – ” Lectures on the Geometry of Manifolds “. This work may be used as the text for a one-semester graduate or advanced undergraduate course, as well as by students engaged in self-study.
Jeffrey Lee’s book, “Manifolds and Differential Geometry” is also a nice book esp someone wants to learn Riemannian geometry too. Conlon – Differentiable Manifolds. Cap, Monatshefte fur Mathematik, Vol.
A Geometric Approach to Differential Forms. 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. My guess is that when Mr.
Lorinb would have had a far more useful and versatile book if they had separated the problems and their full solutions into 2 different sections of the book.
They can be accessed for free here on his website. Manfiolds exercises are quite solvable and I learned a lot from it.
Since this last book is out of print and the publisher does not longer exist, you may be very interested in an online “low-quality” copy which can be downloaded here the 3 files linked in rapidshare.
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If you’re interested in things mostly centred around 2-dimensional hyperbolic geometry, Singer and Thorpe’s “Elementary Topology and Geometry” is quite nice. 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. The Calculus of Variations Bruce lorkng Brunt.
An Introduction to Manifolds
Withoutabox Submit to Film Festivals. Introduction to Smooth Manifolds by John M. Lie Groups and Lie Algebras.