Jon Pierre Fortney

A Visual Introduction to Differential Forms and Calculus on Manifolds (eBook, PDF)

• Format: PDF

Produktdetails

• Verlag: Springer International Publishing
• Seitenzahl: 468
• Erscheinungstermin: 3. November 2018
• Englisch
• ISBN-13: 9783319969923
• Artikelnr.: 54527156

Autorenporträt

Jon Pierre Fortney, Zayed University, Dubai, United Arab Emirates.

Inhaltsangabe

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.

Rezensionen

"The reviewer recommends young mathematics and physics majors to open the book and to keep it on their bookshelves. Indeed, the reviewer even envies young students who can study differential forms with such a fascinating book." (Hirokazu Nishimura, zbMath 1419.58001, 2019)