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From Calculus to Cohomology: de Rham Cohomology and Characteristic Classes: Used
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- Sofort-KaufenFrom Calculus to Cohomology: de Rham Cohomology and Characteristic Classes: Used
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Standort: Sparks, Nevada, USA
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eBay-Artikelnr.:403993138532
Artikelmerkmale
- Artikelzustand
- Book Title
- From Calculus to Cohomology: de Rham Cohomology and Characteristi
- Publication Date
- 1997-03-13
- Pages
- 296
- ISBN
- 9780521589567
Über dieses Produkt
Product Identifiers
Publisher
Cambridge University Press
ISBN-10
0521589568
ISBN-13
9780521589567
eBay Product ID (ePID)
924890
Product Key Features
Number of Pages
296 Pages
Publication Name
From Calculus to Cohomology : De Rham Cohomology and Characteristic Classes
Language
English
Publication Year
1997
Subject
Differential Equations / General, Topology
Type
Textbook
Subject Area
Mathematics
Format
Trade Paperback
Dimensions
Item Height
0.7 in
Item Weight
18 Oz
Item Length
9.7 in
Item Width
6.9 in
Additional Product Features
Intended Audience
Scholarly & Professional
LCCN
96-028589
Dewey Edition
20
Reviews
' … a very polished completely self-contained introduction to the theory of differential forms … the book is very well-written … I recommend the book as an excellent first reading about curvature, cohomology and algebraic topology to anyone interested in these themes from students to active researchers, and especially to those who deliver lectures concerning the mentioned fields.'Acta. Sci. Math., 'This is a very fine book. It treats de Rham cohomology in an intellectually rigourous yet accessible manner which makes it ideal for a beginning graduate student. Moreover, it gets beyond the minimal agenda that many authors have set ... A welcome addition.' Mathematika, 'The book is written in a precise and clear language, it combines well topics from differential geometry, differential topology and global analysis.'European Mathematical Society, 'This is a very fine book. It treats de Rham cohomology in an intellectually rigourous yet accessible manner which makes it ideal for a beginning graduate student. Moreover, it gets beyond the minimal agenda that many authors have set ... A welcome addition.'Mathematika, 'This is a very fine book. It treats de Rham cohomology in an intellectually rigourous yet accessible manner which makes it ideal for a beginning graduate student. Moreover, it gets beyond the minimal agenda that many authors have set … A welcome addition.' Mathematika, ‘The book is written in a precise and clear language, it combines well topics from differential geometry, differential topology and global analysis.’European Mathematical Society, ' ... a very polished completely self-contained introduction to the theory of differential forms ... the book is very well-written ... I recommend the book as an excellent first reading about curvature, cohomology and algebraic topology to anyone interested in these themes from students to active researchers, and especially to those who deliver lectures concerning the mentioned fields.' Acta. Sci. Math., 'The book is written in a precise and clear language, it combines well topics from differential geometry, differential topology and global analysis.' European Mathematical Society, ‘ … a very polished completely self-contained introduction to the theory of differential forms … the book is very well-written … I recommend the book as an excellent first reading about curvature, cohomology and algebraic topology to anyone interested in these themes from students to active researchers, and especially to those who deliver lectures concerning the mentioned fields.’Acta. Sci. Math., ' ... a very polished completely self-contained introduction to the theory of differential forms ... the book is very well-written ... I recommend the book as an excellent first reading about curvature, cohomology and algebraic topology to anyone interested in these themes from students to active researchers, and especially to those who deliver lectures concerning the mentioned fields.'Acta. Sci. Math., ' � a very polished completely self-contained introduction to the theory of differential forms � the book is very well-written � I recommend the book as an excellent first reading about curvature, cohomology and algebraic topology to anyone interested in these themes from students to active researchers, and especially to those who deliver lectures concerning the mentioned fields.' Acta. Sci. Math., ‘This is a very fine book. It treats de Rham cohomology in an intellectually rigourous yet accessible manner which makes it ideal for a beginning graduate student. Moreover, it gets beyond the minimal agenda that many authors have set … A welcome addition.’Mathematika
Illustrated
Yes
Dewey Decimal
514.2/3
Table Of Content
1. Introduction; 2. The alternating algebra; 3. De Rham cohomology; 4. Chain complexes and their cohomology; 5. The Mayer-Vietoris sequence; 6. Homotopy; 7. Applications of De Rham cohomology; 8. Smooth manifolds; 9. Differential forms on smooth manifolds; 10. Integration on manifolds; 11. Degree, linking numbers and index of vector fields; 12. The Poincaré-Hopf theorem; 13. Poincaré duality; 14. The complex projective space CPn; 15. Fiber bundles and vector bundles; 16. Operations on vector bundles and their sections; 17. Connections and curvature; 18. Characteristic classes of complex vector bundles; 19. The Euler class; 20. Cohomology of projective and Grassmanian bundles; 21. Thom isomorphism and the general Gauss-Bonnet formula.
Synopsis
De Rham cohomology is the cohomology of differential forms. This book offers a self-contained exposition to this subject and to the theory of characteristic classes from the curvature point of view. It requires no prior knowledge of the concepts of algebraic topology or cohomology. The first ten chapters study cohomology of open sets in Euclidean space, treat smooth manifolds and their cohomology and end with integration on manifolds. The last eleven chapters cover Morse theory, index of vector fields, Poincar duality, vector bundles, connections and curvature, Chern and Euler classes, Thom isomorphism, and the general Gauss-Bonnet theorem. The text includes over 150 exercises, and gives the background necessary for the modern developments in gauge theory and geometry in four dimensions, but it also serves as an introductory course in algebraic topology. It will be invaluable to anyone who wishes to know about cohomology, curvature, and their applications., This text gives the background necessary for the modern developments in gauge theory and geometry in four dimensions, but it also serves as an introductory course in algebraic topology. It will be invaluable to anyone studying cohomology, curvature, and their applications., De Rham cohomology is the cohomology of differential forms. This book offers a self-contained exposition to this subject and to the theory of characteristic classes from the curvature point of view. It requires no prior knowledge of the concepts of algebraic topology or cohomology. The first ten chapters study cohomology of open sets in Euclidean space, treat smooth manifolds and their cohomology and end with integration on manifolds. The last eleven chapters include Morse theory, index of vector fields, Poincaré duality, vector bundles, connections and curvature, and the book ends with the general Gauss-Bonnet theorem. The text includes well over 150 exercises, and gives the background to the modern developments in gauge theory and geometry in four dimensions, but it also serves as an introductory course in algebraic topology. It will be invaluable to anyone studying cohomology, curvature, and their applications.
LC Classification Number
QA612.3 .M33 1997
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Verkäuferbewertungen (542.412)
- 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, Joe
- 0***g (380)- Bewertung vom Käufer.Letzte 6 MonateBestätigter KaufExcellent purchase. Was able to get all three items from the one seller. Seller was able to bundle all three items together into one package. Items as described and arrived in perfect condition. Good communication around shipping and tracking as items delayed and not able to be delivered by original estimate. Thanks to shipping updates I was able to track the items arriving before the extended delivery time. Thank you for making these items available on EBay.
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AlibrisBooks
99% positive Bewertungen•2,0 Mio. Artikel verkauft
Angemeldet als gewerblicher Verkäufer
Verkäuferbewertungen (542.412)
- 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, Joe
- 0***g (380)- Bewertung vom Käufer.Letzte 6 MonateBestätigter KaufExcellent purchase. Was able to get all three items from the one seller. Seller was able to bundle all three items together into one package. Items as described and arrived in perfect condition. Good communication around shipping and tracking as items delayed and not able to be delivered by original estimate. Thanks to shipping updates I was able to track the items arriving before the extended delivery time. Thank you for making these items available on EBay.