from Harvard’s Differential Topology course Math taught by Dan. Gardiner and closely follow Guillemin and Pollack’s Differential. Guillemin and Pollack, Differential Topology p. 5. #4. |x| < a p. 6. #8 hyperboloid p . 7. #18b g(x) = f(x − a)f(b − x); h(x) = ∫ x. −∞ g(t) dt. ∫ ∞. −∞ g(t) dt p. #8. Guillemin, Pollack - Differential Topology (s) - Download as PDF File .pdf), Text File .txt) or view presentation slides online.

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Differential Topology: Victor Guillemin, Alan Pollack: : Books

Would you like to tell us about a lower price? If you are a seller for this product, would you like to suggest updates through seller support? Differential Topology provides an elementary and intuitive introduction to the study of smooth manifolds. In the years since its first publication, Guillemin and Pollack’s book has become a standard text on the subject. It is a jewel of mathematical exposition, judiciously picking exactly the right mixture of detail and generality to display the richness within.

The text is mostly self-contained, requiring only undergraduate analysis and linear algebra. By relying on a unifying idea–transversality–the authors are able to avoid the use of big machinery or ad hoc techniques to establish the main results. The book has a wealth of exercises of various types. Some are routine explorations of the main material. In others, the students are guided step-by-step through proofs of fundamental results, such as the Jordan-Br.

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Write a customer review. Read reviews that mention differential topology algebraic topology differential geometry intersection theory linear algebra hopf degree good job introduction to smooth morse theory theorem or the jordan degree theorem authors chapter course text manifold subject class definitions lee.

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This book is great for someone like me, who has seen bits and pieces of results from differential topology but would like to see a unified presentation of it. The pollacm is concise but includes enough discussion to build some intuition. Easily comprehensible to someone who has had earlier courses in analysis, topology, and differential geometry, and even the latter is only helpful and not strictly required.


The printing and binding are somewhat poor polllack, and some unconventional notation and definition are occasionally used. The book is a great example of a horrible math text. There are several major flaws in it.

Firstly, the book is written like a novel, and only makes sense if you think like the authors. Definitions, theorems and proofs are often mixed in paragraphs with a large amount of wishy-washy explanations, which makes the book useless if you are using it for reference. The explanations are often fuillemin to follow and cluttered, requiring one to dedicate a large amount of time to draw diagrams and try and follow the train of thought of the author.

I have wasted large amounts of time trying to find some particular definition required for a simple problem because the definition was hidden in a paragraph of useless gibberish. Secondly, the book is full of errors, omitted assumptions gjillemin flaky proofs. Problems at the end of chapters will omit important details like what regularity one should assume for a function, if a manifold is compact, and other such things.

Some questions will completely ignore some special cases such as the dimension of a manifold being 1. Finally, the quality of content varies widely.

Sometimes statements are proven in pollac very hand wavy way, and then there are problems where such hand wavy arguments would make a statement trivial. On the other hand, sometimes explanations are very technical yet not rigorous.

The only way to read this in a sensible way is like reading a novel; from cover to cover, and it is difficult to follow most explanations unless you think in exactly the same guillemin as an author. The general consensus with my friends is that the book is horrible. I would hope that no one would have to read this book. It’s distracting when reading what I think is a very nice book.

Good book but the print quality is not so good. One person found this helpful. I loved to study this book several years ago as an undegraduate. Now I have to teach those subjects, so I decided to buy a copy for myself. I received the book, admired the beautiful hardcover, but when I opened it I was immediately shocked by the crude quality of the printing.

The problem is that this is pollack poorly scanned version of the old edition which I took from the library to compare. I fear I’ll be dizzy if I start reading this; I guess that if I try to scan a page of the original with my home scanner and print it on a laser printer I’ll get a better result.

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I’m very surprised that AMS published this. Now, for the first time in many years as a costumer, I’ll try to return this ghillemin to Amazon. Another reviewer Lucius Schoenbaum had similar complaints as me, but for some reason he gave a 5 star rating. My single star refers not to the text itself, but to the quality of this printing and to the value of the purchase.

From Detroit Top Contributor: We’re using this text right now for my differential topology class. Over all, I find it rather hard to learn from The definitions at times are sloppy and the over all feel from the book is simply too casual to use as a text. If it were cheaper, I think it’d be a great way to acquaint oneself with the subject. It’s just not “text book” material. I agree with the reviewer who is not a “higher mathematician”.

Guiillemin am I; in fact, I repeatedly found that both Milnor and Hirsch became remarkably clearer after reading the same material from this book. So I stuck to this book. Chapter 4 is particularly well-written, with a very guillemun discussion of connections among geometry, algebra, and topology. I hope the publishers decide to republish this book. How hard can that be in the modern small-volume printing era?

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Differential Topology

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