Items related to Differential Forms and Applications (Universitext)
Synopsis
This is a free translation of a set of notes published originally in Portuguese in 1971. They were translated for a course in the College of Differential Geome try, ICTP, Trieste, 1989. In the English translation we omitted a chapter on the Frobenius theorem and an appendix on the nonexistence of a complete hyperbolic plane in euclidean 3-space (Hilbert's theorem). For the present edition, we introduced a chapter on line integrals. In Chapter 1 we introduce the differential forms in Rn. We only assume an elementary knowledge of calculus, and the chapter can be used as a basis for a course on differential forms for "users" of Mathematics. In Chapter 2 we start integrating differential forms of degree one along curves in Rn. This already allows some applications of the ideas of Chapter 1. This material is not used in the rest of the book. In Chapter 3 we present the basic notions of differentiable manifolds. It is useful (but not essential) that the reader be familiar with the notion ofa regular surface in R3. In Chapter 4 we introduce the notion of manifold with boundary and prove Stokes theorem and Poincare's lemma. Starting from this basic material, we could follow any of the possi ble routes for applications: Topology, Differential Geometry, Mechanics, Lie Groups, etc. We have chosen Differential Geometry. For simplicity, we re stricted ourselves to surfaces.
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Review
M.P. Do Carmo
Differential Forms and Applications
"This book treats differential forms and uses them to study some local and global aspects of differential geometry of surfaces. Each chapter is followed by interesting exercises. Thus, this is an ideal book for a one-semester course."―ACTA SCIENTIARUM MATHEMATICARUM
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- PublisherSpringer
- Publication date1994
- ISBN 10 3540576185
- ISBN 13 9783540576181
- BindingPaperback
- LanguageEnglish
- Number of pages128
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Differential forms and applications.
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Hardcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-03680 3540576185 Sprache: Englisch Gewicht in Gramm: 550. Seller Inventory # 2489602
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Differential forms and applications.
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ISBN 10: 3540576185
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Originalbroschur. Condition: Wie neu. First edition.; ERSTAUSGABE. VIII, 118 Seiten. 24 cm FRISCHES, SEHR schönes Exemplar der ERSTAUSGABE. - In EXCELLENT shape. ( WIr bieten zahlreiche FRISCHE Titel im SACHGEBIET MATHEMATIK an ) Sprache: Englisch Gewicht in Gramm: 220. Seller Inventory # 309145
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Differential Forms and Applications
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Condition: Gut. Zustand: Gut - Gebrauchs- und Lagerspuren. 1. Auflage. Es kann sich um eine ältere Auflage handeln., Aus der Auflösung einer renommierten Bibliothek. Kann Stempel beinhalten. | Seiten: 136 | Sprache: Englisch | Produktart: Bücher. Seller Inventory # 232794/203
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Differential Forms and Applications (Universitext)
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Springer (edition 1994), 1994
ISBN 10: 3540576185
ISBN 13: 9783540576181
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Differential Forms and Applications (Universitext)
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Condition: New. *Price HAS BEEN REDUCED by 10% until Tuesday, May 27 (holiday SALE item)* 118 pp., Paperback, new. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country. Seller Inventory # ZB1321791
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Differential Forms and Applications.
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ISBN 10: 3540576185
ISBN 13: 9783540576181
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Condition: Gut. Formateinband: Paperback / kartonierte Ausgabe VIII, 118 S. 1st Edition; Preiskleber am Vorderdeckel; sonst sehr gut erhalten. Sprache: Englisch Gewicht in Gramm: 400 [Stichwörter: Differential Forms in Rn, Line Integrals, Differentiable Manifolds, Integration on Manifolds, Stokes Theorem and Poincaré Lemma, Differential Geometry of Surfaces, The Theorem of Gauss-Bonnet and the Theorem of Morse]. Seller Inventory # 73610
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Differential Forms and Applications
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Differential Forms and Applications
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Differential Forms and Applications (Universitext)
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Differential Forms and Applications
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ISBN 10: 3540576185
ISBN 13: 9783540576181
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The book treats differential forms and uses them to study some local and global aspects of the differential geometry of surfaces. Differential forms are introduced in a simple way that will makethem attractive to 'users' of mathematics. A brief and elementary introduction to differentiable manifolds is given so that the main theorem, namely the Stokes' theorem, can be presented in its natural setting. The applications consist in developing the method of moving frames of E. Cartan to study the local differential geometry of immersed surfaces in R3 as well as the intrinsic geometry of surfaces. Everything is then put together in the last chapter to present Chern's proof of the Gauss-Bonnet theorem for compact surfaces. 136 pp. Englisch. Seller Inventory # 9783540576181
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