EAN: 9780817634902

MATHEMATICS THEORY & APPLICATIONS RIEMANNIAN ...

piRiemannian Geometry i is an expanded edition of a highly acclaimed and successful textbook
(originally published in Portuguese) for first-year graduate students in mathematics and
physics. The author's treatment goes very directly to the basic language of Riemannian geometry
and immediately presents some of its most fundamental theorems. It is elementary  assuming only
a modest background from readers  making it suitable for a wide variety of students and course
structures. Its selection of topics has been deemed superb by teachers who have used the text.
ppA significant feature of the book is its powerful and revealing structure  beginning simply
with the definition of a differentiable manifold and ending with one of the most important
results in Riemannian geometry  a proof of the Sphere Theorem. The text abounds with basic
definitions and theorems  examples  applications  and numerous exercises to test the student's
understanding and extend knowledge and insight into the subject. Instructors and students alike
will find the work to be a significant contribution to this highly applicable and stimulating
subject. p

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