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

0 avg rating
( 0 ratings by Goodreads )
 
9783642617546: Differentiable Manifolds: Forms, Currents, Harmonic Forms (Grundlehren der mathematischen Wissenschaften)

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.

"synopsis" may belong to another edition of this title.

Language Notes:

Text: English, French (translation)

"About this title" may belong to another edition of this title.

Buy New View Book
List Price: US$ 129.00
US$ 96.81

Convert Currency

Shipping: US$ 7.91
From United Kingdom to U.S.A.

Destination, Rates & Speeds

Add to Basket

Top Search Results from the AbeBooks Marketplace

1.

Georges de Rham (author), F.R. Smith (translator), S.S. Chern (introduction)
Published by Springer Berlin Heidelberg 2011-10-12, Berlin (2011)
ISBN 10: 3642617549 ISBN 13: 9783642617546
New Quantity Available: > 20
Seller:
Blackwell's
(Oxford, OX, United Kingdom)
Rating
[?]

Book Description Springer Berlin Heidelberg 2011-10-12, Berlin, 2011. Book Condition: New. Bookseller Inventory # 9783642617546

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 96.81
Convert Currency

Add to Basket

Shipping: US$ 7.91
From United Kingdom to U.S.A.
Destination, Rates & Speeds

2.

Georges de Rham
Published by Springer (1984)
ISBN 10: 3642617549 ISBN 13: 9783642617546
New Softcover Quantity Available: 15
Print on Demand
Seller:
Rating
[?]

Book Description Springer, 1984. Book Condition: New. This item is printed on demand for shipment within 3 working days. Bookseller Inventory # LP9783642617546

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 106.05
Convert Currency

Add to Basket

Shipping: US$ 3.52
From Germany to U.S.A.
Destination, Rates & Speeds

3.

Geroges De Rham
Published by Springer-Verlag Berlin and Heidelberg GmbH and Co. KG (2011)
ISBN 10: 3642617549 ISBN 13: 9783642617546
New Quantity Available: > 20
Print on Demand
Seller:
Pbshop
(Wood Dale, IL, U.S.A.)
Rating
[?]

Book Description Springer-Verlag Berlin and Heidelberg GmbH and Co. KG, 2011. PAP. Book Condition: New. New Book. Shipped from US within 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Bookseller Inventory # IQ-9783642617546

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 113.52
Convert Currency

Add to Basket

Shipping: US$ 3.99
Within U.S.A.
Destination, Rates & Speeds

4.

Geroges De Rham
Published by Springer-Verlag Berlin and Heidelberg GmbH and Co. KG (2011)
ISBN 10: 3642617549 ISBN 13: 9783642617546
New Quantity Available: > 20
Print on Demand
Seller:
Books2Anywhere
(Fairford, GLOS, United Kingdom)
Rating
[?]

Book Description Springer-Verlag Berlin and Heidelberg GmbH and Co. KG, 2011. PAP. Book Condition: New. New Book. Delivered from our UK warehouse in 3 to 5 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Bookseller Inventory # LQ-9783642617546

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 105.95
Convert Currency

Add to Basket

Shipping: US$ 11.87
From United Kingdom to U.S.A.
Destination, Rates & Speeds

5.

Rham, Georges De
Published by Springer (2016)
ISBN 10: 3642617549 ISBN 13: 9783642617546
New Paperback Quantity Available: 1
Print on Demand
Seller:
Ria Christie Collections
(Uxbridge, United Kingdom)
Rating
[?]

Book Description Springer, 2016. Paperback. Book Condition: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Bookseller Inventory # ria9783642617546_lsuk

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 114.24
Convert Currency

Add to Basket

Shipping: US$ 5.10
From United Kingdom to U.S.A.
Destination, Rates & Speeds

6.

GEORGES DE RHAM
Published by Springer (2011)
ISBN 10: 3642617549 ISBN 13: 9783642617546
New Paperback Quantity Available: 1
Seller:
Herb Tandree Philosophy Books
(Stroud, GLOS, United Kingdom)
Rating
[?]

Book Description Springer, 2011. Paperback. Book Condition: NEW. 9783642617546 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Bookseller Inventory # HTANDREE0362373

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 110.01
Convert Currency

Add to Basket

Shipping: US$ 10.55
From United Kingdom to U.S.A.
Destination, Rates & Speeds

7.

Georges de Rham
Published by Springer Okt 2011 (2011)
ISBN 10: 3642617549 ISBN 13: 9783642617546
New Taschenbuch Quantity Available: 1
Seller:
Rheinberg-Buch
(Bergisch Gladbach, Germany)
Rating
[?]

Book Description Springer Okt 2011, 2011. Taschenbuch. Book Condition: 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. Bookseller Inventory # 9783642617546

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 103.85
Convert Currency

Add to Basket

Shipping: US$ 20.19
From Germany to U.S.A.
Destination, Rates & Speeds

8.

Georges de Rham
Published by Springer Okt 2011 (2011)
ISBN 10: 3642617549 ISBN 13: 9783642617546
New Taschenbuch Quantity Available: 1
Seller:
Agrios-Buch
(Bergisch Gladbach, Germany)
Rating
[?]

Book Description Springer Okt 2011, 2011. Taschenbuch. Book Condition: 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. Bookseller Inventory # 9783642617546

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 103.85
Convert Currency

Add to Basket

Shipping: US$ 20.19
From Germany to U.S.A.
Destination, Rates & Speeds

9.

Georges de Rham
Published by Springer (2011)
ISBN 10: 3642617549 ISBN 13: 9783642617546
New Paperback Quantity Available: 1
Seller:
Irish Booksellers
(Rumford, ME, U.S.A.)
Rating
[?]

Book Description Springer, 2011. Paperback. Book Condition: New. book. Bookseller Inventory # M3642617549

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 135.87
Convert Currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, Rates & Speeds

10.

Georges De Rham
Published by Springer Okt 2011 (2011)
ISBN 10: 3642617549 ISBN 13: 9783642617546
New Taschenbuch Quantity Available: 1
Print on Demand
Seller:
AHA-BUCH GmbH
(Einbeck, Germany)
Rating
[?]

Book Description Springer Okt 2011, 2011. Taschenbuch. Book Condition: Neu. This item is printed on demand - Print on Demand 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. Bookseller Inventory # 9783642617546

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 103.85
Convert Currency

Add to Basket

Shipping: US$ 34.77
From Germany to U.S.A.
Destination, Rates & Speeds

There are more copies of this book

View all search results for this book