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Differential Forms and Applications
Manfredo P. do Carmo
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Description for Differential Forms and Applications
Paperback. Uses differential forms to study local and global aspects of the differential geometry of surfaces. This book introduces differentiable manifolds and presents Stokes' theorem. It covers Chern's proof of the Gauss-Bonnet theorem for compact surfaces. Series: Universitext. Num Pages: 118 pages, biography. BIC Classification: PBK; PBMP. Category: (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 236 x 155 x 13. Weight in Grams: 214.
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 ... Read more
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 ... Read more
Product Details
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Germany
Number of pages
140
Format
Paperback
Publication date
2000
Series
Universitext
Condition
New
Weight
229g
Number of Pages
118
Place of Publication
Berlin, Germany
ISBN
9783540576181
SKU
V9783540576181
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Differential Forms and Applications
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