An Introduction to Differentiable Manifolds and Riemannian Geometry, Revised – 2nd Edition Editor-in-Chiefs: William Boothby. Authors: William Boothby. MA Introduction to Differential Geometry and Topology William M. Boothby, An Introduction to Differentiable Manifolds and Riemannian Geometry. Here’s my answer to this question at length. In summary, if you are looking.

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Very nice presentation and progression of topics from elementary to advanced. For the differential geometry, I recommend do Carmo.

References for Differential Geometry and Topology | David Groisser

Amitesh Datta Hi, the reference for graduate level that I need to cover it as a first direction to go is “W M Boothby – An Introduction to Differentiable Manifolds and and Riemannian Geometry” which is not readable despite its appearance! My aim is to reach to graduate level booothby do research, but articles are not only too advanced to study after Carmo’s book, but also I don’t think that they are readable by just studying Carmo’s book at all for a self-learner like me.

The book covers some of the foundational material in Riemannian geometry that you would need to study modern Riemannian geometry and research papers in the field. To understand quantum field theory, one should have the knowledge of high-level of classical mechanics, electrodynamics, quantum mechanics, and relativity.

At the time, I had several manifold theory books.


Customers who viewed this item also viewed. This difderential is a standard reference on the subject of differential manifolds and Riemannian geometry in many somewhat more applied fields, such as mine control theory.

However, I was guessing that the question was about the pure mathematical style of DG. Its level of difficulty is almost the same as Boothby’s book.

I really enjoyed the book, and it was beneficial. This is the only book available that is approachable by “beginners” in this subject. Remember that differential geometry takes place on differentiable manifolds, which are differential-topological objects. It’s selling for Most of all, I wanted to throughly understand more the meaning of covariant derivative. Page 1 of 1 Start over Page 1 of 1.

Tejas Kalelkar: Differential Geometry

What about do Carmo’s “Riemannian Geometry” which is, in some sense, a sequel? Here’s my answer to this question at length. And for the really advanced level, there’s Schoen and Yau “Lectures on Differential Geometry”, which lists many hundreds of open problems to work on at the postgraduate level. Next book in learning Differential Geometry Ask Question.

Differential Geometry Dover Books on Mathematics. Email Required, but never shown. See and discover other items: Shopbop Designer Fashion Brands.

References for Differential Geometry and Topology

Hi AlphaE, I read Boothby’s book that’s where I first learnt about differentiable manifolds ; I thought it was quite a well-written book. Differential Geometry of Curves and Surfaces byCarmo. There are also a few items on this web site which address the same question, some of them several years ago. It is also the only book that thoroughly reviews certain areas of advanced calculus that are necessary to understand the subject.


The sections are interesting but somewhat confusing since there was no definition of n-dimensional Euclidean space. Get to Know Us.

MA 562 Introduction to Differential Geometry and Topology

After, that there are a number of possible directions you could take, which I would be xifferential to note if you are interested. Once you learn this book, you can go into Knapp’s ” Lie Groups: I hope that I will be faster next time.

The author’s style is philosophical, fundamental, conceptual, rather than emphasizing skills and computations. When I was a doctoral student, I studied geometry and topology.

I need to bookmark this. Moreover, I found that if one is a person with a mathematical spirit and want to study differentiable manifolds diffrrential studying relativity in mind, the book will be even better for him. I have graduate training in pure mathematics so I’m used to reading books with heavy mathematical notation, but in this book things don’t “click” for me and I constantly need to go back differenhial look again for a definition of a symbol which is often a difficult task.

The first page of vol.