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.
|Published (Last):||11 January 2011|
|PDF File Size:||19.76 Mb|
|ePub File Size:||14.97 Mb|
|Price:||Free* [*Free Regsitration Required]|
The more abstract and general than Hubbard, but it is entirely accessible to upper-level undergraduates. Thank you, Javier, for a very nice list of books. Springer; 2 edition October 5, Publication Date: This means that some of the details of the each topic have not been covered.
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 lorkng the stuff should work the way it does and also provides nitroduction nice usually physical applications.
It is only pages long, but the font is extremely small, so there are a lot of things in there. But without more specifics from you it’s not so clear what to recommend.
Lee – “Introduction to Smooth Manifolds” ; it is a well-written book with a slow pace covering every elementary construction on manifolds and its table of contents gu very similar to Tu’s.
He also has some very nice physical applications, which includes Maxwell’s equations. Introduction to Smooth Manifolds by John M. Bishop and Goldberg, Tensor Analysis on Manifolds. Learn more about Amazon Giveaway. One person found this helpful. However if you have more time and are eager to learn all the details, the book by John Lee “Introduction to Smooth Manifolds”would serve you better because he covers almost the same material well, there are three chapters which have not been mentioned here at all but in over pages.
You will be able to find course notes that follow this book, and it’s always nice to see the same things in different perspectives. Its exercises are quite solvable and I learned a lot from it. The Long Exact Sequence in Cohomology. Morita has a way of explaining some quite advanced topic in a very understandable manner. Amazon Inspire Digital Educational Resources. Along the way, the reader acquires the knowledge and skills necessary for further study of geometry and topology.
Tu’s book is definitely a great book to read for someone who doesn’t know the first thing about manifolds.
reference request – Introductory texts on manifolds – Mathematics Stack Exchange
Probability Essentials Jean Jacod. I was wondering if someone can recommend to janifolds some introductory texts on manifolds, suitable for those that have some background on analysis and several variable calculus. A Geometric Approach to Differential Forms. Computation of de Rham Cohomology. Customers who bought this item also bought.
Buy for others
I’d like to add: Along the way the reader acquires the knowledge and skills necessary for further study of geometry and topology. Existence of a Partition of Mainfolds in General.
If you like algebraic-flavored treatments but without sheavesdon’t forget the advanced and formal book by Michor -” Lorihg in Differential Geometry “. 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.
Amazon Rapids Fun stories for kids on the go. Amazon Second Chance Pass it on, trade it in, give it a second life. Luckily, I found Loring Tu’s book which gives a gentler introduction to the subject. What other items do customers buy after viewing this item? Moreover it includes hints and solutions to many problems!. It is one of the best books in its category. The Calculus of Variations Bruce van Brunt.
I look forward to going through this book. 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.
This work may be used as a textbook anybody who are interesting in different aspect of topology, abstract algebra and manifold. 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 “.
So I cannot comment about Amazon’s deliverance. Table of contents Preface to the Second Edition.
Hints and solutions are provided to many of the exercises and problems. For instance the details of some of the proofs have been fu as the exercises of chapter. Top Reviews Most recent Top Reviews. Assuming only basic background in analysis and algebra, the book offers a rather gentle introduction to smooth manifolds and differential forms offering the necessary background to understand and compute mmanifolds cohomology.
Not Enabled Word Wise: 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. Cap, Monatshefte fur Mathematik, Vol. Alexa Actionable Analytics for the Web. Amazon Giveaway allows you to run promotional giveaways in order to create buzz, reward your audience, and attract new followers and customers.
By the end of the book the reader should be mahifolds to compute, at least for simple spaces, one of the most basic topological invariants of a manifold, its de Rham cohomology.
Quaternions and the Symplectic Group. Kindle Cloud Reader Read instantly in your browser.
A Workbook for Students and Teachers”.