Differentiable Manifolds: Forms, Currents, Harmonic Forms (Grundlehren der mathematischen Wissenschaften)

0 valoración promedio
( 0 valoraciones por Goodreads )
 
9783642617546: Differentiable Manifolds: Forms, Currents, Harmonic Forms (Grundlehren der mathematischen Wissenschaften)
Ver todas las copias de esta edición ISBN.
 
 

Book by Rham Georges de

"Sinopsis" puede pertenecer a otra edición de este libro.

Reseña del editor:

In this work, I have attempted to give a coherent exposition of the theory of differential forms on a manifold and harmonic forms on a Riemannian space. The concept of a current, a notion so general that it includes as special cases both differential forms and chains, is the key to understanding how the homology properties of a manifold are immediately evident in the study of differential forms and of chains. The notion of distribution, introduced by L. Schwartz, motivated the precise definition adopted here. In our terminology, distributions are currents of degree zero, and a current can be considered as a differential form for which the coefficients are distributions. The works of L. Schwartz, in particular his beautiful book on the Theory of Distributions, have been a very great asset in the elaboration of this work. The reader however will not need to be familiar with these. Leaving aside the applications of the theory, I have restricted myself to considering theorems which to me seem essential and I have tried to present simple and complete of these, accessible to each reader having a minimum of mathematical proofs background. Outside of topics contained in all degree programs, the knowledge of the most elementary notions of general topology and tensor calculus and also, for the final chapter, that of the Fredholm theorem, would in principle be adequate.

"Sobre este título" puede pertenecer a otra edición de este libro.

Comprar nuevo Ver libro

Gastos de envío: EUR 2,99
De Alemania a Estados Unidos de America

Destinos, gastos y plazos de envío

Añadir al carrito

Los mejores resultados en AbeBooks

1.

Rham, Georges de / Chern, S. S.
ISBN 10: 3642617549 ISBN 13: 9783642617546
Nuevo Cantidad disponible: 1
Librería
Valoración
[?]

Descripción Condición: New. Publisher/Verlag: Springer, Berlin | Forms, Currents, Harmonic Forms | In this work, I have attempted to give a coherent exposition of the theory of differential forms on a manifold and harmonic forms on a Riemannian space. The concept of a current, a notion so general that it includes as special cases both differential forms and chains, is the key to understanding how the homology properties of a manifold are immediately evident in the study of differential forms and of chains. The notion of distribution, introduced by L. Schwartz, motivated the precise definition adopted here. In our terminology, distributions are currents of degree zero, and a current can be considered as a differential form for which the coefficients are distributions. The works of L. Schwartz, in particular his beautiful book on the Theory of Distributions, have been a very great asset in the elaboration of this work. The reader however will not need to be familiar with these. Leaving aside the applications of the theory, I have restricted myself to considering theorems which to me seem essential and I have tried to present simple and complete of these, accessible to each reader having a minimum of mathematical proofs background. Outside of topics contained in all degree programs, the knowledge of the most elementary notions of general topology and tensor calculus and also, for the final chapter, that of the Fredholm theorem, would in principle be adequate. | I. Notions About Manifolds.-1. The Notion of a Manifold and a Differentiable Structure.-2. Partition of Unity. Functions on Product Spaces.-3. Maps and Imbeddings of Manifolds.- II. Differential Forms.-4. Differential Forms of Even Type.-5. Differential Forms of Odd Type. Orientation of Manifolds and Maps.-6. Chains. Stokes' Formula.-7. Double Forms.- III. Currents.-8. Definition of Currents.-9. The Vector Spaces E, D, Ep, and Dp.-10. The Vector Spaces D , E , D p, and E p.-11. Boundary of a Current. Image of a Current by a Map.-12. Double Currents.-13. Transformations of Double Forms and Currents by a Map.-14. Homotopy Formulas.-15. Regularization.-16. Operators Associated with a Double Current.-17. Reflexitivity of E and D. Regular Operators and Regularizing Operators.- IV. Homologies.-18. Homology Groups.-19. Homologies in IRn.-20. The Kronecker Index.-21. Homologies Between Forms and Chains in a Manifold Endowed with a Polyhedral Subdivision.-22. Duality in a Manifold Endowed with a Polyhedral Subdivision.-23. Duality in Any Differentiable Manifold.- V. Harmonic Forms.-24. Riemannian Spaces. Adjoint Form.-25. The Metric Transpose of an Operator. The Operators ? and ?.-26. Expressions of the Operators d, ?, and ? Using Covariant Derivatives.-27. Properties of the Geodesic Distance.-28. The Parametrix.-29. The Regularity of Harmonic Currents.-30. The Local Study of the Equation ??= ? Elementary Kernels.-31. The Equation ?S = T on a Compact Space. The Operators H and G.-32. The Decomposition Formula in a Non-Compact Space.-33. Explicit Formula for the Kronecker Index.-34. The Analyticity of Harmonic Forms.-35. Square Summable Harmonic Forms on a Complete Riemannian Space.- List of Notation. | Format: Paperback | Language/Sprache: english | 288 gr | 235x155x9 mm | 170 pp. Nº de ref. del artículo: K9783642617546

Más información sobre este vendedor | Contactar al vendedor

Comprar nuevo
EUR 83,91
Convertir moneda

Añadir al carrito

Gastos de envío: EUR 2,99
De Alemania a Estados Unidos de America
Destinos, gastos y plazos de envío

2.

GEORGES DE RHAM
Publicado por Springer (2011)
ISBN 10: 3642617549 ISBN 13: 9783642617546
Nuevo Paperback Cantidad disponible: 1
Librería
Herb Tandree Philosophy Books
(Stroud, GLOS, Reino Unido)
Valoración
[?]

Descripción Springer, 2011. Paperback. Condición: NEW. 9783642617546 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. For all enquiries, please contact Herb Tandree Philosophy Books directly - customer service is our primary goal. Nº de ref. del artículo: HTANDREE0362373

Más información sobre este vendedor | Contactar al vendedor

Comprar nuevo
EUR 82,25
Convertir moneda

Añadir al carrito

Gastos de envío: EUR 9,13
De Reino Unido a Estados Unidos de America
Destinos, gastos y plazos de envío

3.

Georges de Rham (author), F.R. Smith (translator), S.S. Chern (introduction)
Publicado por Springer Berlin Heidelberg 2011-10-12, Berlin (2011)
ISBN 10: 3642617549 ISBN 13: 9783642617546
Nuevo paperback Cantidad disponible: > 20
Librería
Blackwell's
(Oxford, OX, Reino Unido)
Valoración
[?]

Descripción Springer Berlin Heidelberg 2011-10-12, Berlin, 2011. paperback. Condición: New. Nº de ref. del artículo: 9783642617546

Más información sobre este vendedor | Contactar al vendedor

Comprar nuevo
EUR 84,81
Convertir moneda

Añadir al carrito

Gastos de envío: EUR 6,84
De Reino Unido a Estados Unidos de America
Destinos, gastos y plazos de envío

4.

Rham, Georges De
Publicado por Springer-Verlag Berlin and Heidelberg GmbH and Co. KG (2011)
ISBN 10: 3642617549 ISBN 13: 9783642617546
Nuevo Cantidad disponible: > 20
Impresión bajo demanda
Librería
Pbshop
(Wood Dale, IL, Estados Unidos de America)
Valoración
[?]

Descripción Springer-Verlag Berlin and Heidelberg GmbH and Co. KG, 2011. PAP. Condición: New. New Book. Shipped from US within 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Nº de ref. del artículo: IQ-9783642617546

Más información sobre este vendedor | Contactar al vendedor

Comprar nuevo
EUR 89,65
Convertir moneda

Añadir al carrito

Gastos de envío: EUR 3,25
A Estados Unidos de America
Destinos, gastos y plazos de envío

5.

Georges De Rham
ISBN 10: 3642617549 ISBN 13: 9783642617546
Nuevo Cantidad disponible: 5
Librería
ReadWhiz
(Portland, OR, Estados Unidos de America)
Valoración
[?]

Descripción Condición: New. Nº de ref. del artículo: ria9783642617546_ing

Más información sobre este vendedor | Contactar al vendedor

Comprar nuevo
EUR 95,58
Convertir moneda

Añadir al carrito

Gastos de envío: GRATIS
A Estados Unidos de America
Destinos, gastos y plazos de envío

6.

Rham, Georges de
Publicado por Springer (2018)
ISBN 10: 3642617549 ISBN 13: 9783642617546
Nuevo Paperback Cantidad disponible: > 20
Impresión bajo demanda
Librería
Murray Media
(North Miami Beach, FL, Estados Unidos de America)
Valoración
[?]

Descripción Springer, 2018. Paperback. Condición: New. Never used! This item is printed on demand. Nº de ref. del artículo: 3642617549

Más información sobre este vendedor | Contactar al vendedor

Comprar nuevo
EUR 94,99
Convertir moneda

Añadir al carrito

Gastos de envío: EUR 1,62
A Estados Unidos de America
Destinos, gastos y plazos de envío

7.

Rham, Georges De
Publicado por Springer-Verlag Berlin and Heidelberg GmbH and Co. KG (2011)
ISBN 10: 3642617549 ISBN 13: 9783642617546
Nuevo Cantidad disponible: > 20
Impresión bajo demanda
Librería
Books2Anywhere
(Fairford, GLOS, Reino Unido)
Valoración
[?]

Descripción Springer-Verlag Berlin and Heidelberg GmbH and Co. KG, 2011. PAP. Condición: New. New Book. Delivered from our UK warehouse in 4 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Nº de ref. del artículo: LQ-9783642617546

Más información sobre este vendedor | Contactar al vendedor

Comprar nuevo
EUR 88,38
Convertir moneda

Añadir al carrito

Gastos de envío: EUR 10,27
De Reino Unido a Estados Unidos de America
Destinos, gastos y plazos de envío

8.

Georges De Rham
Publicado por Springer Berlin Heidelberg Okt 2011 (2011)
ISBN 10: 3642617549 ISBN 13: 9783642617546
Nuevo Taschenbuch Cantidad disponible: 1
Librería
Rheinberg-Buch
(Bergisch Gladbach, Alemania)
Valoración
[?]

Descripción Springer Berlin Heidelberg Okt 2011, 2011. Taschenbuch. Condición: Neu. Neuware - In this work, I have attempted to give a coherent exposition of the theory of differential forms on a manifold and harmonic forms on a Riemannian space. The concept of a current, a notion so general that it includes as special cases both differential forms and chains, is the key to understanding how the homology properties of a manifold are immediately evident in the study of differential forms and of chains. The notion of distribution, introduced by L. Schwartz, motivated the precise definition adopted here. In our terminology, distributions are currents of degree zero, and a current can be considered as a differential form for which the coefficients are distributions. The works of L. Schwartz, in particular his beautiful book on the Theory of Distributions, have been a very great asset in the elaboration of this work. The reader however will not need to be familiar with these. Leaving aside the applications of the theory, I have restricted myself to considering theorems which to me seem essential and I have tried to present simple and complete of these, accessible to each reader having a minimum of mathematical proofs background. Outside of topics contained in all degree programs, the knowledge of the most elementary notions of general topology and tensor calculus and also, for the final chapter, that of the Fredholm theorem, would in principle be adequate. 184 pp. Englisch. Nº de ref. del artículo: 9783642617546

Más información sobre este vendedor | Contactar al vendedor

Comprar nuevo
EUR 85,59
Convertir moneda

Añadir al carrito

Gastos de envío: EUR 17,13
De Alemania a Estados Unidos de America
Destinos, gastos y plazos de envío

9.

Georges De Rham
Publicado por Springer Berlin Heidelberg Okt 2011 (2011)
ISBN 10: 3642617549 ISBN 13: 9783642617546
Nuevo Taschenbuch Cantidad disponible: 1
Librería
BuchWeltWeit Inh. Ludwig Meier e.K.
(Bergisch Gladbach, Alemania)
Valoración
[?]

Descripción Springer Berlin Heidelberg Okt 2011, 2011. Taschenbuch. Condición: Neu. Neuware - In this work, I have attempted to give a coherent exposition of the theory of differential forms on a manifold and harmonic forms on a Riemannian space. The concept of a current, a notion so general that it includes as special cases both differential forms and chains, is the key to understanding how the homology properties of a manifold are immediately evident in the study of differential forms and of chains. The notion of distribution, introduced by L. Schwartz, motivated the precise definition adopted here. In our terminology, distributions are currents of degree zero, and a current can be considered as a differential form for which the coefficients are distributions. The works of L. Schwartz, in particular his beautiful book on the Theory of Distributions, have been a very great asset in the elaboration of this work. The reader however will not need to be familiar with these. Leaving aside the applications of the theory, I have restricted myself to considering theorems which to me seem essential and I have tried to present simple and complete of these, accessible to each reader having a minimum of mathematical proofs background. Outside of topics contained in all degree programs, the knowledge of the most elementary notions of general topology and tensor calculus and also, for the final chapter, that of the Fredholm theorem, would in principle be adequate. 184 pp. Englisch. Nº de ref. del artículo: 9783642617546

Más información sobre este vendedor | Contactar al vendedor

Comprar nuevo
EUR 85,59
Convertir moneda

Añadir al carrito

Gastos de envío: EUR 17,13
De Alemania a Estados Unidos de America
Destinos, gastos y plazos de envío

10.

Rham, Georges De
Publicado por Springer (2016)
ISBN 10: 3642617549 ISBN 13: 9783642617546
Nuevo Paperback Cantidad disponible: 1
Impresión bajo demanda
Librería
Ria Christie Collections
(Uxbridge, Reino Unido)
Valoración
[?]

Descripción Springer, 2016. Paperback. Condición: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Nº de ref. del artículo: ria9783642617546_lsuk

Más información sobre este vendedor | Contactar al vendedor

Comprar nuevo
EUR 98,84
Convertir moneda

Añadir al carrito

Gastos de envío: EUR 4,40
De Reino Unido a Estados Unidos de America
Destinos, gastos y plazos de envío

Existen otras copia(s) de este libro

Ver todos los resultados de su búsqueda