Differential Forms and Applications (Universitext) - Tapa blanda

Libro 16 de 260: Universitext

Do Carmo, Manfredo P.

 
9783540576181: Differential Forms and Applications (Universitext)
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ISBN 10: 3540576185 ISBN 13: 9783540576181
Editorial: Springer, 2013

Sinopsis

An application of differential forms for the study of some local and global aspects of the differential geometry of surfaces. Differential forms are introduced in a simple way that will make them attractive to "users" of mathematics. A brief and elementary introduction to differentiable manifolds is given so that the main theorem, namely Stokes’ theorem, can be presented in its natural setting. The applications consist in developing the method of moving frames expounded by E. Cartan to study the local differential geometry of immersed surfaces in R3 as well as the intrinsic geometry of surfaces. This is then collated in the last chapter to present Chern’s proof of the Gauss-Bonnet theorem for compact surfaces.

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Críticas

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

Reseña del editor

An application of differential forms for the study of some local and global aspects of the differential geometry of surfaces. Differential forms are introduced in a simple way that will make them attractive to "users" of mathematics. A brief and elementary introduction to differentiable manifolds is given so that the main theorem, namely Stokes' theorem, can be presented in its natural setting. The applications consist in developing the method of moving frames expounded by E. Cartan to study the local differential geometry of immersed surfaces in R3 as well as the intrinsic geometry of surfaces. This is then collated in the last chapter to present Chern's proof of the Gauss-Bonnet theorem for compact surfaces.

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

Editorial
Springer
Año de publicación
2013
Idioma
Inglés
ISBN 10 
3540576185
ISBN 13 
9783540576181
Encuadernación
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Número de páginas
136
Contacto del fabricante
no disponible
Persona responsable
CMN Printpool Inh. Mathis Neumann
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Friedrich-Karl-Str. 9
Hamburg
Alemania

Otras ediciones populares con el mismo título

9780387576183: Differential Forms and Applications (Universitext)

Edición Destacada

ISBN 10:  0387576185 ISBN 13:  9780387576183
Editorial: Springer Verlag, 1994
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