Introduction To Differentiable Manifolds And Riemannian Geometry (pure And Applied Mathematics, A Series Of Monographs And Textbooks)
by William M. Boothby /
1975 / English / DjVu
3.2 MB Download
This is a revised printing of one of the classic mathematics texts
published in the last 25 years. This revised edition includes
updated references and indexes and error corrections and will
continue to serve as the standard text for students and
professionals in the field.Differential manifolds are the
underlying objects of study in much of advanced calculus and
analysis. Topics such as line and surface integrals, divergence and
curl of vector fields, and Stoke's and Green's theorems find their
most natural setting in manifold theory. Riemannian plane geometry
can be visualized as the geometry on the surface of a sphere in
which "lines" are taken to be great circle arcs.
This is a revised printing of one of the classic mathematics texts
published in the last 25 years. This revised edition includes
updated references and indexes and error corrections and will
continue to serve as the standard text for students and
professionals in the field.Differential manifolds are the
underlying objects of study in much of advanced calculus and
analysis. Topics such as line and surface integrals, divergence and
curl of vector fields, and Stoke's and Green's theorems find their
most natural setting in manifold theory. Riemannian plane geometry
can be visualized as the geometry on the surface of a sphere in
which "lines" are taken to be great circle arcs.
