A Visual Introduction to Differential Forms and Calculus on Manifolds

• Κύριος συγγραφέας: Fortney, Jon Pierre (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Birkhäuser, 2018.
• Έκδοση: 1st ed. 2018.
• Θέματα: Differential geometry.; Manifolds (Mathematics).; Complex manifolds.; Global analysis (Mathematics).; Differential Geometry.; Manifolds and Cell Complexes (incl. Diff.Topology).; Global Analysis and Analysis on Manifolds.

This book explains and helps readers to develop geometric intuition as it relates to differential forms. It includes over 250 figures to aid understanding and enable readers to visualize the concepts being discussed. The author gradually builds up to the basic ideas and concepts so that definitions,...

Πίνακας περιεχομένων:

• Background Material
• An Introduction to Differential Forms
• The Wedgeproduct
• Exterior Differentiation
• Visualizing One-, Two-, and Three-Forms
• Push-Forwards and Pull-Backs
• Changes of Variables and Integration of Forms
• Vector Calculus and Differential Forms
• Manifolds and Forms on Manifolds
• Generalized Stokes' Theorem
• An Example: Electromagnetism.