Free PDF Topology from the Differentiable Viewpoint, by John Willard Milnor
By downloading the online Topology From The Differentiable Viewpoint, By John Willard Milnor publication here, you will certainly get some benefits not to choose guide shop. Just connect to the web and start to download the page web link we discuss. Now, your Topology From The Differentiable Viewpoint, By John Willard Milnor is ready to delight in reading. This is your time and also your calmness to acquire all that you really want from this publication Topology From The Differentiable Viewpoint, By John Willard Milnor
Topology from the Differentiable Viewpoint, by John Willard Milnor
Free PDF Topology from the Differentiable Viewpoint, by John Willard Milnor
Topology From The Differentiable Viewpoint, By John Willard Milnor. Is this your extra time? Just what will you do then? Having extra or leisure time is quite outstanding. You could do everything without force. Well, we mean you to spare you couple of time to read this book Topology From The Differentiable Viewpoint, By John Willard Milnor This is a god book to accompany you in this leisure time. You will certainly not be so hard to know something from this publication Topology From The Differentiable Viewpoint, By John Willard Milnor A lot more, it will help you to obtain better information as well as encounter. Also you are having the fantastic tasks, reading this book Topology From The Differentiable Viewpoint, By John Willard Milnor will not include your mind.
As one of guide collections to propose, this Topology From The Differentiable Viewpoint, By John Willard Milnor has some strong reasons for you to review. This book is quite ideal with what you need now. Besides, you will certainly also like this book Topology From The Differentiable Viewpoint, By John Willard Milnor to review considering that this is one of your referred publications to read. When getting something brand-new based upon encounter, amusement, as well as various other lesson, you can utilize this publication Topology From The Differentiable Viewpoint, By John Willard Milnor as the bridge. Beginning to have reading behavior can be undertaken from various ways and also from variant kinds of publications
In reviewing Topology From The Differentiable Viewpoint, By John Willard Milnor, now you might not additionally do conventionally. In this modern-day era, device and also computer system will aid you so much. This is the time for you to open the gadget and also stay in this site. It is the best doing. You can see the link to download this Topology From The Differentiable Viewpoint, By John Willard Milnor here, can't you? Merely click the link and also negotiate to download it. You can get to buy the book Topology From The Differentiable Viewpoint, By John Willard Milnor by online and all set to download and install. It is extremely various with the traditional method by gong to guide establishment around your city.
Nevertheless, reviewing the book Topology From The Differentiable Viewpoint, By John Willard Milnor in this website will certainly lead you not to bring the published book anywhere you go. Just store guide in MMC or computer system disk and also they are available to check out any time. The prosperous air conditioner by reading this soft documents of the Topology From The Differentiable Viewpoint, By John Willard Milnor can be leaded into something brand-new habit. So currently, this is time to verify if reading could boost your life or not. Make Topology From The Differentiable Viewpoint, By John Willard Milnor it undoubtedly function and also get all advantages.
This elegant book by distinguished mathematician John Milnor, provides a clear and succinct introduction to one of the most important subjects in modern mathematics. Beginning with basic concepts such as diffeomorphisms and smooth manifolds, he goes on to examine tangent spaces, oriented manifolds, and vector fields. Key concepts such as homotopy, the index number of a map, and the Pontryagin construction are discussed. The author presents proofs of Sard's theorem and the Hopf theorem.
- Sales Rank: #537089 in Books
- Brand: Brand: Princeton University Press
- Published on: 1997-11-24
- Original language: English
- Number of items: 1
- Dimensions: 9.02" h x .16" w x 5.98" l, .30 pounds
- Binding: Paperback
- 80 pages
- Used Book in Good Condition
About the Author
John Milnor is Professor of Mathematics and Co-Director of the Institute for Mathematical Sciences at SUNY, Stony Brook. He is the author of "Topology from the Differential Viewpoint, Singular Points of Complex Hypersurfaces, Morse Theory, Introduction to Algebraic K-Theory, Characteristic Classes" (with James Stasheff), and "Lectures on the H-Cobordism Theorem" (Princeton).
Most helpful customer reviews
25 of 25 people found the following review helpful.
a must-read supplement for topology students
By Malcolm
Milnor's "Topology from the Differentiable Viewpoint" is a brief sketch of differential topology, well written, as are all books by Milnor, with clear, concise explanations. For students who wish to learn the subject, it should be read as a companion to a more substantive text, such as Guillemin & Pollack's Differential Topology or Hirsch's Differential Topology, as too much of the material is left out for this to be adequate as a textbook. OTOH, it does make for good bedtime reading.
While this book is highly regarded among mathematicians, it is not without its faults, namely,
- it fails to cover many topics of importance, such as transversality (only mentioned in an exercise), embeddings, differential forms, integration, Morse theory, and the intersection form;
- it only cites some theorems without proving them, or it leaves the proofs to the reader;
- it offers proofs of many theorems that are really only sketches without all the details;
- manifolds are only defined as subsets of Euclidean spaces;
- there is only 1 collection of 17 problems at the end of the book, which are used to introduce important concepts; and
- it probably moves too quickly for true beginners, packing a lot into only 51 pages.
So don't buy this as your only, or even first, book on differential topology. Oddly, many of the faults that I listed above are simultaneously strengths, in that it can be read very quickly, with relatively little effort and a high rate of retention. Milnor really emphasizes the topology of the subject, giving applications such as the fundamental theorem of algebra, Brouwer's fixed point theorem, the hairy ball theorem, the Poincare-Hopf theorem, and Hopf's theorem. Most of the book focuses on degree theory, but there is also a nice introduction to framed cobordism, which is rare for an elementary book. Guillemin & Pollack's book was based in large part on this one, and could be read together, with G&P giving more elementary explanations and additional topics, while Milnor's book provides a proof of the Sard theorem and the Pontrjagin-Thom construction. The exercises, though not particularly difficult, do provide a good opportunity to practice proving theorems in the subject, as there are no hints for them, as one would find in many other differential topology books, and they are not separated by chapter.
16 of 20 people found the following review helpful.
A good place to start
By Amazon Customer
This book is exceptionally well written and contains almost no errors. In this book, Milnor makes the decision to only treat the ideal cases. He does not delve into technical refinements. As a result, Milnor is able to prove a major theorem on almost every page. This also makes the book an ideal introduction for someone who is encountering differential topology for the first time since the reader is able to digest the key ideas in differential topology without having to go through extra technical baggage, which is required to extend the methods to more general cases. Despite the fact it is less than 80 pages, the book covers a significant amount of material, which allows the reader to learn a considerable amount per unit time.
20 of 21 people found the following review helpful.
Excellent starting point for differential topology
By Steve P.
One of the best points of this little book is its brevity and clear exposition of the basic ideas. It makes a great reference guide because it's so short and well-organized. Written by a distinguished mathematician, it's no wonder that other graduate-level texts such as Guillemin & Pollacks "Differential Topology" highly recommend reading it alongside their book. Milnor's booklet is a classic, whose style and ideas surely pervade other texts.
Topology from the Differentiable Viewpoint, by John Willard Milnor PDF
Topology from the Differentiable Viewpoint, by John Willard Milnor EPub
Topology from the Differentiable Viewpoint, by John Willard Milnor Doc
Topology from the Differentiable Viewpoint, by John Willard Milnor iBooks
Topology from the Differentiable Viewpoint, by John Willard Milnor rtf
Topology from the Differentiable Viewpoint, by John Willard Milnor Mobipocket
Topology from the Differentiable Viewpoint, by John Willard Milnor Kindle
Tidak ada komentar:
Posting Komentar