Geometry of Differential Forms Shigeyuki Morita
Publisher: American Mathematical Society

This definitely is a text for physicists, not mathematicians, with the geometry taking a back-seat. In the context of string theory, in particular when we're dealing with a low energy effective action, if we have an effective action of the form: $$S_{eff} sim S^{(0)} + alpha S^{(1)} + (alpha)^2 S^{(2)} + ldots$$. The Scientific American book club sometimes offers The Math Book for $1.99. This textbook introduces geometric measure theory through the notion of currents. It's also important to remember that differential forms don't have to be real-valued. Let us try to write the four Maxwell equations using the language of differential forms, exterior differentiation and the Hodge star duality operation. Early differential geometers studied such properties of curves and surfaces such as: .. Calculus - Dover books: education, coloring, Differential Geometry (Dover Books on Mathematics): Erwin Kreyszig. Ordinary Differential Equations (Dover Books on Mathematics. Differential forms and orthonormal frames don't appear until nearly the end of the book. Definitions of curvature, curvature tensor; Second fundamental form; Sectional and Ricci curvature; Jacobi fields. In addition, classical differential geometry lacks the techniques that are widely applied in theoretical physics, such as differential forms. Differential geometry is obsolete. Like this: Like Loading Leave a Comment. So geometry killed the electric and magnetic fields. Differential Forms (Dover Books on Mathematics) book download Henri Paul Cartan Download Differential Forms (Dover Books on Mathematics) *FREE* super saver shipping on qualifying. The study of Lie groups forms an important branch of group theory and is of relevance to other branches of mathematics. It is only later on, when calculus became more algebraic in outlook that one can begin to make a meaningful separation between the subjects of calculus and differential geometry.