Vector Analysis Versus Vector Calculus
The aim of this book is to facilitate the use of Stokes' Theorem in applications. The text takes a differential geometric point of view and provides for the student a bridge between pure and applied mathematics by carefully building a formal rigorous development of the topic and following this...
Κύριοι συγγραφείς: | , |
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Συγγραφή απο Οργανισμό/Αρχή: | |
Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
Γλώσσα: | English |
Έκδοση: |
Boston, MA :
Springer US,
2012.
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Σειρά: | Universitext,
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Θέματα: | |
Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- Preface
- 1 Vectors and Vector Fields
- 2 Line Integrals
- 3 Regular k-surfaces
- 4 Flux of a Vector Field
- 5 Orientation of a Surface
- 6 Differential Forms
- Integration on Surfaces
- 8 Surfaces with Boundary
- 9 The General Stokes' Theorem
- Solved Exercises
- References
- Index.