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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 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.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
Revue de presse
'... a self-contained exposition.' L'Enseignement Mathématique
'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
' ... 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
Présentation de l'éditeur
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.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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From Calculus to Cohomology: De Rham Cohomology and Characteristic Classes
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Cambridge University Press, 1997
ISBN 10 : 0521589568
ISBN 13 : 9780521589567
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From Calculus to Cohomology: De Rham Cohomology and Characteristic Classes
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Cambridge University Press, 1997
ISBN 10 : 0521589568
ISBN 13 : 9780521589567
Ancien ou d'occasion
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From Calculus to Cohomology: De Rham Cohomology and Characteristic Classes
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From Calculus to Cohomology: De Rham Cohomology and Characteristic Classes
Edité par
Cambridge University Press, 1997
ISBN 10 : 0521589568
ISBN 13 : 9780521589567
Ancien ou d'occasion
Couverture souple
Vendeur : Zubal-Books, Since 1961, Cleveland, OH, Etats-Unis
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From Calculus to Cohomology: De Rham Cohomology and Characteristic Classes
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From Calculus to Cohomology: De Rham Cohomology and Characteristic Classes
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From Calculus to Cohomology: De Rham Cohomology and Characteristic Classes
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From Calculus to Cohomology: De Rham Cohomology and Characteristic Classes
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From Calculus to Cohomology
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 the. N° de réf. du vendeur 235204344
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From Calculus to Cohomology
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Cambridge University Press, GB, 1997
ISBN 10 : 0521589568
ISBN 13 : 9780521589567
Neuf
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Paperback. Etat : New. 1st. 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. N° de réf. du vendeur LU-9780521589567
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