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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This is an excellent book for what it is.

Also he is not afraid to view a concept of different angles, first in an elementary way and later in more advanced terms e. You can use it as a complement to Tu’s or as a second reading. Showing of 22 reviews.

Product details File Size: Its table of contents is amazing in scope dealing introdction some advanced topics most other introductory books avoid like classical integral geometry, characteristic classes and pseudodifferential operators.

Sign up using Facebook. This book gives differential forms based upon their general definition, which requires the development of multi-linear and tensor introduftion. Amazon Music Stream millions of songs. An as others have pointed out, it is a good book for Bott and Tu’s book on differential forms which is horrible in terms of introducing basic concepts.

Exact and closed definitions. Page 1 of 1 Start over Page 1 of 1. Editorial Reviews Review From the reviews: I’d like to add:. Manifolds, Tensors, and Forms: Nevertheless, since its treatment is a bit dated, it lacks the kind of hard abstract algebraic formulation used nowadays forget about functors or 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.


In the same spirit of the previous book but a little better in my manifoldd, and even more complete, is the lorijg by Nicolaescu – lorring Lectures on the Geometry of Manifolds “. Hints and solutions are provided to many of the exercises and problems. Amazon Inspire Digital Educational Resources. In the end, we must not forget that the old masters that founded the subject were much more visual an intuitive than the modern abstract approaches to geometry, and that motivation was what culminated in the unified abstract approach of nowadays.

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

I borrowed this book from a library to learn differential geometry. Customers who viewed this item also viewed.

There’s a problem loading this menu right now. Complex Geometry Daniel Huybrechts. Proof of Homotopy Invariance. 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. Do not confuse the two books by John Lee. So I cannot comment about Amazon’s deliverance. Combining aspects of algebra, topology, and analysis, manifolds have also been applied to classical mechanics, general relativity, and quantum field theory.


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. This work may be used as a textbook for a one-semester graduate or advanced undergraduate course, as well as by students engaged in self-study.

A very good and underrated book-and available very cheap from Dover! Don’t you think that at some point one should learn ringed ihtroduction approach to manifolds using sheaves? The book is divided into seven parts, plus four appendices.

An Introduction to Manifolds

Some might consider this boring, but I found it extremely helpful when similar concepts were introduced for abstract smooth manifolds. It is a complete book!

Computation of de Rham Cohomology. Enter your mobile number or email address below and we’ll send you a link to download the free Kindle App.

An Introduction to Manifolds : Loring W. Tu :

It is one of the best books in its category. We’re featuring millions of their reader ratings on our book pages to help you find your new favourite book. It is also filled with LOTS of figures and classic drawings of every construction giving a very visual and geometric motivation. The Long Exact Sequence in Cohomology.