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1. The Topology of Fibre Bundles. (PMS-14) by Norman Steenrod | |
Paperback: 224
Pages
(1999-04-05)
list price: US$57.50 -- used & new: US$44.93 (price subject to change: see help) Asin: 0691005486 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description It begins with a general introduction to bundles, including such topics as differentiable manifolds and covering spaces. The author then provides brief surveys of advanced topics, such as homotopy theory and cohomology theory, before using them to study further properties of fibre bundles. The result is a classic and timeless work of great utility that will appeal to serious mathematicians and theoretical physicists alike. Customer Reviews (3)
This is where it started The author does use some antiquated notation, but that is not really a hindrance to the study of the book. The reader will no doubt have some background in differential geometry and topology before attempting this book, so the appropriate translation to more modern notation should be straightforward. Once started, and with a little thought adjustment to the idiosyncracies of the author's writing style, the reader will find a plethora of neat examples and insights into the subject. In particular, part 3 on the cohomology theory of bundles is exceptionally valuable in that it gives the reader a detailed overview of the origin of what are not called Stiefel-Whitney classes. The theory of characteristic classes has of course advanced and matured extensively since this book first appeared, but all of the modern treatments are lacking in that they do not give the reader an appreciation of the fundamentals of the subject. Indeed, the construction of the obstruction to the construction of a cross-section to a bundle is the starting point for many of the ideas in obstruction theory that one finds in differential topology. And yes, the procedures the author uses can be "cleaned-up" and made more concise, but the price one pays in such an endeavor is the loss of an appreciation of the concepts behind the scene. Since the book is a monograph, there are no exercises, and this is probably the only minus to the book. Also, some knowledge of the German language would be useful to a reader who has it, since the author makes references to papers written in German and much of the terminology in the book shows its roots in the German language. One good example of this is the Reidemeister theory of cohomology groups based on a bundle of coefficients, called Uberdeckung by Reidemeister. There is no question as to why this book remains in print, and it will no doubt continue to be well into the 21st century. IT is a good example of the idea that something new may not be something better. After finishing it, the reader will be amply prepared to enter into the continually-evolving theory of fiber bundles and their applications, all of which are interesting and important.
Excellent introduction to fiber bundles ...True, more slick machinery has been developed since Steenrod's time, but those big machines are hardly transparent.Steenrod assumes very little of the reader; he even has a quick course in homotopy groups, although he assumes the reader knows the basics of homology/cohomology.Perhaps most importantly, since many of the ideas in the book were new at the time, he doesn't assume that the reader is already comfortable with those ideas.All together this makes a very accessible book indeed.
Still attractive. |
2. Foundations of Algebraic Topology (Mathematics Series) by Samuel Eilenberg, Norman E. Steenrod | |
Hardcover: 328
Pages
(1952-12)
Isbn: 069107965X Canada | United Kingdom | Germany | France | Japan | |
3. The Steenrod algebra and its applications: a conference to celebrate N. E. Steenrod's sixtieth birthday: Proceedings of the conference held at the Battelle ... 1970 (Lecture notes in mathematics, 168) | |
Paperback: 317
Pages
(1970)
Isbn: 038705300X Canada | United Kingdom | Germany | France | Japan | |
4. Cohomology operations and obstructions to extending continuous functions: Colloquium lectures by Norman Earl Steenrod | |
Paperback: 60
Pages
(1957)
Asin: B0007EGH4M Canada | United Kingdom | Germany | France | Japan | |
5. CUPM Geometry Conference Proceedings: Part I: Convexity and Applications; Part II: Geometry in Other Subjects (Nos. 16 & 17, August - September, 1967) by Branko; Klee, Victor; Gleason, A. M.; Steenrod, Norman; Durst, Lincoln K. (editor) Grunbaum | |
Paperback:
Pages
(1967)
Asin: B000VTWNUA Canada | United Kingdom | Germany | France | Japan | |
6. Homology of Cell Complexes. (Based on Lectures by Norman E. Steenrod) Mathematical Notes by George E. Cooke, R.L. Finney | |
Paperback: 30
Pages
(1967-11)
Isbn: 0691079781 Canada | United Kingdom | Germany | France | Japan | |
7. Homology of Cell Complexes. (Based on Lectures by Norman E. Steenrod). Preliminary Informal Notes of University Seminars in Mathematics. (Mathematical Notes) by George E., & Ross L. Finney Cooke | |
Paperback: 259
Pages
(1967)
Asin: B000T7SM2C Canada | United Kingdom | Germany | France | Japan | |
8. Foundations of Algebraic Topology (Mathematics Series) [Hardcover] by Norman E. Steenrod (Author) Samuel Eilenberg (Author) | |
Unknown Binding:
Pages
(1952)
Asin: B0046WMF0Q Canada | United Kingdom | Germany | France | Japan | |
9. The Typology of Fibre Bundles by Norman Steenrod | |
Hardcover:
Pages
(1960)
Asin: B001PDUJUW Canada | United Kingdom | Germany | France | Japan | |
10. How to Write Mathematics by Norman E. Steenrod, Paul R. Halmos, Menahem M. Schiffer, Jean A. Dieudonne | |
Paperback: 64
Pages
(1973-12)
list price: US$20.00 -- used & new: US$17.99 (price subject to change: see help) Asin: 0821800558 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (3)
A must read for mathematicians and scientists
multi-author approach works
The paper by Halmos is worth the price of the book |
11. The Topology of Fibre Bundles by Norman Steenrod | |
Hardcover:
Pages
(1957)
Asin: B000IY2RZO Canada | United Kingdom | Germany | France | Japan | |
12. Topology of Fibre Bundles by Norman Steenrod | |
Hardcover:
Pages
(1975-01-01)
Asin: B000MBDG08 Canada | United Kingdom | Germany | France | Japan | |
13. Cohomology operations; (Annals of mathematics studies) by Norman Earl Steenrod | |
Unknown Binding: 138
Pages
(1962)
Asin: B0006AY3WU Canada | United Kingdom | Germany | France | Japan | |
14. THE TOPOLOGY OF FIBRE BUNDLES by Norman Steenrod | |
Hardcover:
Pages
(1972-01-01)
Asin: B002K4XDX0 Canada | United Kingdom | Germany | France | Japan | |
15. Collected works by Norman Earl Steenrod | |
Unknown Binding: 500
Pages
(1973)
Asin: B00072XBWK Canada | United Kingdom | Germany | France | Japan | |
16. Syllabus for linear algebra,: Fall term 1967 by Norman Earl Steenrod | |
Unknown Binding:
Pages
(1967)
Asin: B0007FSVEU Canada | United Kingdom | Germany | France | Japan | |
17. The Topology Of Fibre Bundles by Norman. Steenrod | |
Hardcover:
Pages
(1970-01-01)
Asin: B0035WRWZ6 Canada | United Kingdom | Germany | France | Japan | |
18. Foundations of Algebraic Topology by Samuel Eilenberg;And Norman Steenrod | |
Hardcover:
Pages
(1964)
Asin: B000OKQWNU Canada | United Kingdom | Germany | France | Japan | |
19. The Topology of Fibre Bundles by Norman Steenrod | |
Hardcover:
Pages
(1965)
Asin: B000TFI1AC Canada | United Kingdom | Germany | France | Japan | |
20. Homology of Cell Complexes (Based on Lectures by Norman E. Steenrod in 1963): Preliminary Informal Notes of University Courses & Seminars in Mathematics by George E.; Finney, Ross L. Cooke | |
Paperback:
Pages
(1967)
Asin: B001NCBVYI Canada | United Kingdom | Germany | France | Japan | |
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