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Natural Operations in Differential Geometry by Pro Kolar, Ivan: New
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- Sofort-KaufenNatural Operations in Differential Geometry by Pro Kolar, Ivan: New
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Artikelmerkmale
- Artikelzustand
- Book Title
- Natural Operations in Differential Geometry
- Publication Date
- 1993-02-04
- Pages
- 434
- ISBN
- 9783540562351
Über dieses Produkt
Product Identifiers
Publisher
Springer Berlin / Heidelberg
ISBN-10
3540562354
ISBN-13
9783540562351
eBay Product ID (ePID)
5381586
Product Key Features
Number of Pages
VI, 434 Pages
Publication Name
Natural Operations in Differential Geometry
Language
English
Publication Year
1993
Subject
Geometry / Differential, Geometry / General, Materials Science / Electronic Materials
Type
Textbook
Subject Area
Mathematics, Technology & Engineering
Format
Hardcover
Dimensions
Item Weight
62.1 Oz
Item Length
9.2 in
Item Width
6.1 in
Additional Product Features
Intended Audience
Scholarly & Professional
LCCN
92-045829
Dewey Edition
20
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
516.36
Table Of Content
I. Manifolds and Lie Groups.- II. Differential Forms.- III. Bundles and Connections.- IV. Jets and Natural Bundles.- V. Finite Order Theorems.- VI. Methods for Finding Natural Operators.- VII. Further Applications.- VIII. Product Preserving Functors.- IX. Bundle Functors on Manifolds.- X. Prolongation of Vector Fields and Connections.- XI. General Theory of Lie Derivatives.- XII. Gauge Natural Bundles and Operators.- References.- List of symbols.- Author index.
Synopsis
Natural operators and natural operations are an area of differential geometry that relates closely to problems in theoretical physics. So far there has been no book on the subject. This one therefore fills the gap and collects in an unified presentation the otherwise scattered material on the subject; it also includes a very comprehensive bibliography and will certainly be the standard reference for the next few years., The aim of this work is threefold: First it should be a monographical work on natural bundles and natural op- erators in differential geometry. This is a field which every differential geometer has met several times, but which is not treated in detail in one place. Let us explain a little, what we mean by naturality. Exterior derivative commutes with the pullback of differential forms. In the background of this statement are the following general concepts. The vector bundle A kT* M is in fact the value of a functor, which associates a bundle over M to each manifold M and a vector bundle homomorphism over f to each local diffeomorphism f between manifolds of the same dimension. This is a simple example of the concept of a natural bundle. The fact that exterior derivative d transforms sections of A kT* M into sections of A k+1T* M for every manifold M can be expressed by saying that d is an operator from A kT* M into A k+1T* M., The aim of this work is threefold: First it should be a monographical work on natural bundles and natural op erators in differential geometry. This is a field which every differential geometer has met several times, but which is not treated in detail in one place. Let us explain a little, what we mean by naturality. Exterior derivative commutes with the pullback of differential forms. In the background of this statement are the following general concepts. The vector bundle A kT* M is in fact the value of a functor, which associates a bundle over M to each manifold M and a vector bundle homomorphism over f to each local diffeomorphism f between manifolds of the same dimension. This is a simple example of the concept of a natural bundle. The fact that exterior derivative d transforms sections of A kT* M into sections of A k+1T* M for every manifold M can be expressed by saying that d is an operator from A kT* M into A k+1T* M.
LC Classification Number
QA641-670
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- e***u (283)- Bewertung vom Käufer.Letzter MonatBestätigter KaufThe listing was for a hardcover version of this book; however, I received a paperback. The Seller replied quickly to my question about this issue and issued a full refund - and let me keep the book. So, a diligent Seller for sure - and well packaged and reasonable timing on shipping. Thank you for the refund, and as you suggested, I'll likely donate this volume and seek the hardcover.
- e***n (392)- Bewertung vom Käufer.Letzte 6 MonateBestätigter KaufGreat transaction, exactly as described, packed well, and promptly shipped on August 6th. Unfortunately the U.S. Postal Service took 23 calendar days to deliver the book. It was shipped from Pennsylvania, to Atlanta, past Alabama to Texas, enjoyed several days in Texas, then to Minneapolis, Jacksonville, Florida, back to Atlanta, finally to Birmingham, and Huntsville. The seller was very responsive and I decided it was interesting to see if/how the book would arrive. Thanks, JoeDrumsville!: The Evolution of the New Orleans Beat by Robert Cataliotti: Used (Nr. 405155037686)
- n***7- Bewertung vom Käufer.Letzter MonatBestätigter KaufItem came shipped very well packaged and shipped very quickly. Also product was as described seeming in good condition. However I had a slight issues with the item(could have been damaged by carrier not sure) but seller made good with a full refund immediately after I contacted them about the issue. I would do business again based on the excellent customer service and would highly recommend seller.
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AlibrisBooks
99% positive Bewertungen•2.0 Mio. Artikel verkauft
Angemeldet als gewerblicher Verkäufer
Verkäuferbewertungen (545'727)
- e***u (283)- Bewertung vom Käufer.Letzter MonatBestätigter KaufThe listing was for a hardcover version of this book; however, I received a paperback. The Seller replied quickly to my question about this issue and issued a full refund - and let me keep the book. So, a diligent Seller for sure - and well packaged and reasonable timing on shipping. Thank you for the refund, and as you suggested, I'll likely donate this volume and seek the hardcover.
- e***n (392)- Bewertung vom Käufer.Letzte 6 MonateBestätigter KaufGreat transaction, exactly as described, packed well, and promptly shipped on August 6th. Unfortunately the U.S. Postal Service took 23 calendar days to deliver the book. It was shipped from Pennsylvania, to Atlanta, past Alabama to Texas, enjoyed several days in Texas, then to Minneapolis, Jacksonville, Florida, back to Atlanta, finally to Birmingham, and Huntsville. The seller was very responsive and I decided it was interesting to see if/how the book would arrive. Thanks, JoeDrumsville!: The Evolution of the New Orleans Beat by Robert Cataliotti: Used (Nr. 405155037686)
- n***7- Bewertung vom Käufer.Letzter MonatBestätigter KaufItem came shipped very well packaged and shipped very quickly. Also product was as described seeming in good condition. However I had a slight issues with the item(could have been damaged by carrier not sure) but seller made good with a full refund immediately after I contacted them about the issue. I would do business again based on the excellent customer service and would highly recommend seller.