Vector Analysis Versus Vector Calculus

• Κύριοι συγγραφείς: Galbis, Antonio (Συγγραφέας), Maestre, Manuel (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Boston, MA : Springer US, 2012.
• Σειρά: Universitext,
• Θέματα: Mathematics.; Global analysis (Mathematics).; Manifolds (Mathematics).; Mathematical physics.; Differential geometry.; Global Analysis and Analysis on Manifolds.; Differential Geometry.; Mathematical Applications in the Physical Sciences.

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...

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.