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Questions asking for recommendations of textbooks on some subject. It can be helpful to indicate whether the request is for self-study, for use in a course one teaches, for use accompanying a course one takes etc., and to give some additional details on the context. Typically, additional tags are used to indicate the subject. For other questions on books, please use the tag books. Also, see reference-request for a related tag.

2 votes

Where can I find resources for creating a mathematics "bridge course"?

Perhaps the book Journey into Mathematics: An Introduction to Proofs by Joseph Rotman could help. Its Table of Contents (see e.g. here) looks quite close to what is requested in the question; see also …
just-learning's user avatar
3 votes

Advanced Differential Geometry Textbook

A nice recent (2017) book that covers some of items listed in the question is Differential Geometry: Connections, Curvature, and Characteristic Classes by Loring W. Tu.
1 vote

Best algebraic geometry textbook? (other than Hartshorne)

Another nice introductory AG book that, I believe, was not mentioned here yet is Hassett.
1 vote

Graduate ODE textbook

If you happen to like Arnold's ODE book mentioned by Julien Puydt it could also be a good idea to look at his more advanced book Geometrical methods in the theory of ordinary differential equations.
4 votes

Book about fluid dynamics

Perhaps this CFD crash course and also A crash course in fluid mechanics could help a bit.
just-learning's user avatar