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  2. Mathematics
  3. Calculus & Mathematical Analysis
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  5. Differential & Riemannian Geometry
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Differential Forms and Applications
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Differential Forms and Applications

 3.75 (8 ratings by Goodreads)
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3.75 (8 ratings by Goodreads)
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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 ch...show more

Product details

  • Paperback | 118 pages
  • 147.3 x 228.6 x 12.7mm | 226.8g
  • Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
  • Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • Berlin, Germany
  • English
  • 1st ed. 1994. Corr. 2nd printing 1998
  • X, 118 p.
  • 3540576185
  • 9783540576181
  • 637,025

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  1. Categories:
  2. Mathematics
  3. Calculus & Mathematical Analysis
  4. Differential Calculus & Equations
  5. Differential & Riemannian Geometry
  6. Mathematical Physics

Review quote

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 o...show more

Table of contents

1. Differential Forms in Rn.- 2. Line Integrals.- 3. Differentiable Manifolds.- 4. Integration on Manifolds; Stokes Theorem and Poincare's Lemma.- 1. Integration of Differential Forms.- 2. Stokes Theorem.- 3. Poincare's Lemma.- 5. Differential Geometry of Surface...show more

Review Text

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 o...show more

Rating details

8 ratings
3.75 out of 5 stars
5 38% (3)
4 0% (0)
3 62% (5)
2 0% (0)
1 0% (0)
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