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- catalog abstract "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 make them 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.".
- catalog alternative "Formas diferenciais e aplicações. English".
- catalog contributor b7169739.
- catalog created "c1994.".
- catalog date "1994".
- catalog date "c1994.".
- catalog dateCopyrighted "c1994.".
- catalog description "Differential forms in R(symbol) -- Line integrals -- Differentiable manifolds -- Integration on manifolds; Stokes theorem and Poincare's lemma -- Differential geometry of surfaces -- The theorem of Gauss-Bonnet and the theorem of Morse.".
- catalog description "Includes bibliographical references (p. [115]) and index.".
- catalog description "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 make them 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.".
- catalog extent "viii, 118 p. :".
- catalog hasFormat "Differential forms and applications.".
- catalog identifier "0387576185 (Springer-Verlag New York Berlin Heidelberg)".
- catalog identifier "3540576185 (Springer-Verlag Berlin Heidelberg New York)".
- catalog isFormatOf "Differential forms and applications.".
- catalog isPartOf "Universitext".
- catalog issued "1994".
- catalog issued "c1994.".
- catalog language "eng por".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer-Verlag,".
- catalog relation "Differential forms and applications.".
- catalog subject "515/.37 20".
- catalog subject "Differential forms.".
- catalog subject "Global analysis (Mathematics).".
- catalog subject "Global differential geometry.".
- catalog subject "Mathematical physics.".
- catalog subject "Mathematics.".
- catalog subject "QA381 .C2813 1994".
- catalog tableOfContents "Differential forms in R(symbol) -- Line integrals -- Differentiable manifolds -- Integration on manifolds; Stokes theorem and Poincare's lemma -- Differential geometry of surfaces -- The theorem of Gauss-Bonnet and the theorem of Morse.".
- catalog title "Differential forms and applications / Manfredo P. do Carmo.".
- catalog title "Formas diferenciais e aplicações. English".
- catalog type "text".