An Introduction To Differentiable Manifolds And Riemannian Geometry (pure And Applied Mathematics, Volume 120)
by William M. Boothby /
1986 / English / DjVu
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This book was planned and written as a text for a two-semester
course designed, it is hoped, to overcome, or at least to minimize,
some of these difficulties. It has, in fact, been used successfully
several times in preliminary form as class notes for a two-semester
course intended to lead the student from a reasonable mastery of
advanced (multivariable) calculus and a rudimentary knowledge of
differentiable manifolds, including some facility in working with
the basic tools of manifold theory: tensors, differential forms,
Lie and covariant derivatives, multiple integrals, and so on.
Although in overall content this book necessarily overlaps the
several available excellent books on manifold theory, there are
differences in presentation and emphasis which, it is hoped, will
make it particularly suitable as an introductory text.
This book was planned and written as a text for a two-semester
course designed, it is hoped, to overcome, or at least to minimize,
some of these difficulties. It has, in fact, been used successfully
several times in preliminary form as class notes for a two-semester
course intended to lead the student from a reasonable mastery of
advanced (multivariable) calculus and a rudimentary knowledge of
differentiable manifolds, including some facility in working with
the basic tools of manifold theory: tensors, differential forms,
Lie and covariant derivatives, multiple integrals, and so on.
Although in overall content this book necessarily overlaps the
several available excellent books on manifold theory, there are
differences in presentation and emphasis which, it is hoped, will
make it particularly suitable as an introductory text.
