Introduction to Differentiable Manifolds and Riemannian Geometry (Pure and applied mathematics, a series of monographs and textbooks)
By William M. Boothby
* Publisher: Academic Press Inc.,U.S.
* Number Of Pages: 438
* Publication Date: 1975-08
* ISBN-10 / ASIN: 0121160505
* ISBN-13 / EAN: 9780121160500
Product Description:
The second edition of this text has sold over 6,000 copies since publication in 1986 and this revision will make it even more useful. This is the only book available that is approachable by "beginners" in this subject. It has become an essential introduction to the subject for mathematics students, engineers, physicists, and economists who need to learn how to apply these vital methods. It is also the only book that thoroughly reviews certain areas of advanced calculus that are necessary to understand the subject.
Line and surface integrals
Divergence and curl of vector fields
Summary: Great book
Rating: 5
Great introductory differential geometry text! I used this book to help me pass my qualifying exam. Yay Boothby!
Summary: This is a book for REAL mathematicians
Rating: 5
This book is an wonderful introduction to Differential Geometry for the serious student of mathematics. However, it is not aimed at engineers, physicists or even applied mathaticians.
The author assumes the reader has an extensive knowledge of abstract algebra and at least one course in analysis. Likewise, he has chosen to emphasis applications of the subject to Lie Groups, homotopy theory, and group actions, rather than the physical applications that applied mathematicians are looking for. But, for the student of pure mathematics, this text is a great starting point into the rich world of differential geometry.
Also, while this book is an introduction and requires no previous knowledge of the subject, it covers enough ground to be followed up by such topics as the Gauss-Bonnet Theorem, the Cartan-Hadamard Theorem, Bonnet's Theorem, or Morse Theory.
http://ifile.it/260xdjv/0121160505__differentiable_manifolds.rar
