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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

Intuitive functional analysis book

Kreyszig is one I found most helpful.
1 vote

Good books on Geometric Theory of Dynamical Systems

I guess "Geometrical Methods in the Theory of Ordinary Differential Equations" by Arnold should be in the list too, although it doesn't satisfy the "purely" topological criteria.
9 votes

Book on the Three body Problem

For the Restricted three-body problem, I suggest: Dynamical Systems, the Three-Body Problem and Space Mission Design By Marsden,Koon,Lo and Ross Available free at: www2.esm.vt.edu/~sdross/books This …
Piyush Grover's user avatar
24 votes

Insightful books about elementary mathematics

Geometry and the Imagination by Hilbert and Cohn-Vossen.
10 votes

Book Recommendation - PDE's for geometricians / topologists

Since you claim that you know "nothing about PDEs", I think it would be very hard to appreciate the topological/geometric applications of PDEs without at least a basic familiarity with the theory of P …